In this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nano In this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nanoIn this study, the characteristics of rectangular Kirchhoff nano-plate plate plate vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the vibrations are investigated using a MODIFIED COUPLE STRESS theory. To consider the effects of smalleffects of smalleffects of smalleffects of smalleffects of smalleffects of smalleffects of small effects of smalleffects of smalleffects of smalleffects of smalleffects of smalleffects of smalleffects of small-scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) scale, the MODIFIED COUPLE STRESS theory proposed by Young (2002) is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, is used as it has only one length scale parameter. In MODIFIED COUPLE STRESS theory, the s the sthe sthe strain energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, train energy density is a function of the components strain tensor, curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After curvature tensor, STRESS and symmetric part of the COUPLE tensor. After obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation obtaining the strain energy, external work, and kinetic energy equation inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in inserting them in the Hamilton principle, main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano the Hamilton principle, main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nanothe Hamilton principle, the main and auxiliary equations of nano-plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in plate are obtained. Then, by applying the boundary and force conditions in governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nano governing equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nanogoverning equations, the vibrations of rectangular Kirschhof nano-plate with plate with plate with plate with plate with plate with plate with the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated the thickness are investigated with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method with simple support around. The solution method used in this study is the Navier methodused in this study is the Navier method used in this study is the Navier methodused in this study is the Navier methodused in this study is the Navier method used in this study is the Navier methodused in this study is the Navier method used in this study is the Navier method used in this study is the Navier method used in this study is the Navier methodused in this study is the Navier methodused in this study is the Navier methodused in this study is the Navier methodused in this study is the Navier method used in this study is the Navier method used in this study is the Navier methodused in this study is the Navier methodused in this study is the Navier method used in this study is the Navier methodused in this study is the Navier method used in this study is the Navier methodused in this study is the Navier methodused in this study is the Navier method used in this study is the Navier methodused in this study is the Navier method andandand the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, the effects of material length scale, length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated length and thickness of the nanoplate on vibration are investigated results are presented and discussed in details results are presented and discussed in details results are presented and discussed in details results are presented and discussed in details results are presented and discussed in details results are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in details results are presented and discussed in details results are presented and discussed in detailsresults are presented and discussed in details results are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in details results are presented and discussed in detailsresults are presented and discussed in details results are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in details results are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in detailsresults are presented and discussed in details.