THERMO-DIFFUSIVE COUPLING EFFECT ON THE DAMPING RATIO BASED ON MODIFIED COUPLE STRESS THEORY IN MICRO-BEAM RESONATORS

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KHANCHEHGARDAN ALI; AMIRI AHAD; REZAZADEH GHADER

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Journal: Modares Mechanical Engineering Year:2015 | Volume:15 | Issue:9 Page(s): 116-124

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Title

THERMO-DIFFUSIVE COUPLING EFFECT ON THE DAMPING RATIO BASED ON MODIFIED COUPLE STRESS THEORY IN MICRO-BEAM RESONATORS

Author(s)

KHANCHEHGARDAN ALI | AMIRI AHAD | REZAZADEH GHADER | Issue Writer Certificate

Keywords

MEMSQ2

MASS DIFFUSIONQ1

NON-FOURIER HEAT CONDUCTIONQ2

NON-FICKIAN MASS DIFFUSIONQ2

MODIFIED COUPLE STRESS THEORYQ2

Abstract

In this work effect of MASS DIFFUSION on the damping ratio in micro-beam resonators is investigated based on MODIFIED COUPLE STRESS THEORY and the Euler-Bernoulli beam assumptions. The couple stress theory is a non-classical elasticity theory which is able to capture size effects in small-scale structures. The governing equation of a micro-beam deflection is obtained using Hamilton’s principle and also the governing equations of thermo-diffusive elastic damping are established using two dimensional NON-FOURIER HEAT CONDUCTION and non-Fickian MASS DIFFUSION models. Free vibration of the micro-beam resonators is analyzed using Galerkin reduced order model formulation for the first mode of vibration. A clamped-clamped micro-beam with isothermal boundary conditions at both ends is studied. The obtained results are compared with the results of a model in which the MASS DIFFUSION effect is ignored. Furthermore, the MASS DIFFUSION effects on the damping ratio are studied for the various micro-beam thicknesses, ambient temperature and length scales parameters. The results show that in the valid region, based on Euler-Bernoulli beam theory and before the critical thickness there is no difference between the results of MASS DIFFUSION and thermo-elastic damping and also the results indicate that by increasing the length scale parameter damping ratio decreases.

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APA: Copy

KHANCHEHGARDAN, ALI, AMIRI, AHAD, & REZAZADEH, GHADER. (2015). THERMO-DIFFUSIVE COUPLING EFFECT ON THE DAMPING RATIO BASED ON MODIFIED COUPLE STRESS THEORY IN MICRO-BEAM RESONATORS. MODARES MECHANICAL ENGINEERING, 15(9), 116-124. SID. https://sid.ir/paper/179030/en

Vancouver: Copy

KHANCHEHGARDAN ALI, AMIRI AHAD, REZAZADEH GHADER. THERMO-DIFFUSIVE COUPLING EFFECT ON THE DAMPING RATIO BASED ON MODIFIED COUPLE STRESS THEORY IN MICRO-BEAM RESONATORS. MODARES MECHANICAL ENGINEERING[Internet]. 2015;15(9):116-124. Available from: https://sid.ir/paper/179030/en

IEEE: Copy

ALI KHANCHEHGARDAN, AHAD AMIRI, and GHADER REZAZADEH, “THERMO-DIFFUSIVE COUPLING EFFECT ON THE DAMPING RATIO BASED ON MODIFIED COUPLE STRESS THEORY IN MICRO-BEAM RESONATORS,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 9, pp. 116–124, 2015, [Online]. Available: https://sid.ir/paper/179030/en

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