@ARTICLE{Rezazadeh,
author = {Khanchehgardan, Ali and Amiri, Ahad and Rezazadeh, Ghader and },
title = {Thermo-diffusive Coupling Effect on the Damping Ratio Based on Modified Couple Stress Theory in Micro-beam Resonators},
volume = {15},
number = {9},
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 capable 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. },
URL = {http://mme.modares.ac.ir/article-15-8585-en.html},
eprint = {http://mme.modares.ac.ir/article-15-8585-en.pdf},
journal = {Modares Mechanical Engineering},
doi = {},
year = {2015}
}