AU - Khanchehgardan, Ali
AU - Amiri, Ahad
AU - Rezazadeh, Ghader
TI - Thermo-diffusive Coupling Effect on the Damping Ratio Based on Modified Couple Stress Theory in Micro-beam Resonators
PT - JOURNAL ARTICLE
TA - mdrsjrns
JN - mdrsjrns
VO - 15
VI - 9
IP - 9
4099 - http://mme.modares.ac.ir/article-15-8585-en.html
4100 - http://mme.modares.ac.ir/article-15-8585-en.pdf
SO - mdrsjrns 9
ABĀ - 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.
CP - IRAN
IN -
LG - eng
PB - mdrsjrns
PG - 116
PT -
YR - 2015