Three dimensional analysis of temperature-dependent nonlinear mechanical behaviors of functionally graded rectangular plates resting on Winkler– Pasternak elastic foundation

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gholami yousef; Ansari Khalkhli Reza

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Journal: Modares Mechanical Engineering Year:2018 | Volume:18 | Issue:7 Page(s): 159-169

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Title

Three dimensional analysis of temperature-dependent nonlinear mechanical behaviors of functionally graded rectangular plates resting on Winkler– Pasternak elastic foundation

Author(s)

gholami yousef | Ansari Khalkhli Reza | Issue Writer Certificate

Keywords

Functionally graded plateQ1

Nonlinear mechanical behaviorsQ1

3D theory of elasticityQ1

Numerical solution procedureQ2

Abstract

The temperature-dependent Nonlinear mechanical behaviors of functionally graded rectangular plates in the thickness direction resting on Winkler– Pasternak elastic foundation are investigated using the three-dimensional theory of elasticity. The material properties are temperature-dependent and varied in the thickness direction based on a power-law. Considering the nonlinear Green-Lagrange strain relation, the geometric nonlinearity is taken into account. After obtaining the potential strain, kinetic energies, taking into account the effects of the temperature and the elastic foundation, the Hamilton’ s principle is used to derive the nonlinear three-dimensional governing equations and corresponding boundary conditions. To solve the nonlinear free vibration problem, first, the generalized differential quadrature (GDQ) method is used to discretize the nonlinear coupled governing equations in the space domain. Then, the obtained equations are converted to the time-dependent ordinary differential equations using the numerical-based Galerkin scheme and the time periodic discretization (TPD) are used to discretize them in the time domain. Finally, the arc-length method is employed to find the frequency-response of system. Also, to solve the nonlinear bending problem, by neglecting the effect of inertia and using the arc length algorithm, the maximum deflection versus the applied load is obtained. The effects of different parameters such as length-to-thickness ratio, Winkler– Pasternak elastic foundation coefficients, uniform and linear temperature rises and volume fraction index on the frequency response and maximum deflection of Functionally graded plates with various edge conditions are studied.

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APA: Copy

gholami, yousef, & Ansari Khalkhli, Reza. (2018). Three dimensional analysis of temperature-dependent nonlinear mechanical behaviors of functionally graded rectangular plates resting on Winkler– Pasternak elastic foundation. MODARES MECHANICAL ENGINEERING, 18(7 ), 159-169. SID. https://sid.ir/paper/179566/en

Vancouver: Copy

gholami yousef, Ansari Khalkhli Reza. Three dimensional analysis of temperature-dependent nonlinear mechanical behaviors of functionally graded rectangular plates resting on Winkler– Pasternak elastic foundation. MODARES MECHANICAL ENGINEERING[Internet]. 2018;18(7 ):159-169. Available from: https://sid.ir/paper/179566/en

IEEE: Copy

yousef gholami, and Reza Ansari Khalkhli, “Three dimensional analysis of temperature-dependent nonlinear mechanical behaviors of functionally graded rectangular plates resting on Winkler– Pasternak elastic foundation,” MODARES MECHANICAL ENGINEERING, vol. 18, no. 7 , pp. 159–169, 2018, [Online]. Available: https://sid.ir/paper/179566/en

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