THERMO-ELASTIC DAMPING IN NANO-BEAM RESONATORS BASED ON NONLOCAL THEORY

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KHANCHEHGARDAN A.; SHAH MOHAMMADI AZAR A.; REZAZADEH G.; SHABANI R.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF ENGINEERING Year:2013 | Volume:26 | Issue:12 (TRANSACTIONS C: ASPECTS) Page(s): 1505-1514

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Title

THERMO-ELASTIC DAMPING IN NANO-BEAM RESONATORS BASED ON NONLOCAL THEORY

Author(s)

KHANCHEHGARDAN A. | SHAH MOHAMMADI AZAR A. | REZAZADEH G. | SHABANI R. | Issue Writer Certificate

Keywords

THERMO-ELASTIC DAMPING

NANO-BEAM RESONATOR

NONLOCAL THEORY OF ELASTICITY

Abstract

In this article, THERMO-ELASTIC DAMPING in NANO-BEAM RESONATORs is investigated based on NONLOCAL THEORY OF ELASTICITY and the Euler-Bernoulli beam assumptions. To this end, governing equation of motion of the beam is obtained from stress–strain relationship of the nonlocal elasticity model and also governing equations of THERMO-ELASTIC DAMPING are established using two dimensional non-Fourier heat conduction. Free vibration of the NANO-BEAM RESONATORs is analyzed using Galerkin reduced order model formulation for the first mode of vibration. In the present investigation a clamped-clamped nano-beam with isothermal boundary conditions at both ends is studied. This nonlocal model incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect. The obtained results are compared with the numerical results of the classical thermo-elastic models. THERMO-ELASTIC DAMPING effects on the damping ratio are studied for the various nano-beam thicknesses and ambient temperatures. In addition, the study includes computations for different values of nonlocal theory parameter. The results show that with increasing the amount of nonlocal parameter and also with decreasing the length of the nano-beam, difference between the results of classical and nonlocal theory increases.

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APA: Copy

KHANCHEHGARDAN, A., SHAH MOHAMMADI AZAR, A., REZAZADEH, G., & SHABANI, R.. (2013). THERMO-ELASTIC DAMPING IN NANO-BEAM RESONATORS BASED ON NONLOCAL THEORY. INTERNATIONAL JOURNAL OF ENGINEERING, 26(12 (TRANSACTIONS C: ASPECTS)), 1505-1514. SID. https://sid.ir/paper/618312/en

Vancouver: Copy

KHANCHEHGARDAN A., SHAH MOHAMMADI AZAR A., REZAZADEH G., SHABANI R.. THERMO-ELASTIC DAMPING IN NANO-BEAM RESONATORS BASED ON NONLOCAL THEORY. INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2013;26(12 (TRANSACTIONS C: ASPECTS)):1505-1514. Available from: https://sid.ir/paper/618312/en

IEEE: Copy

A. KHANCHEHGARDAN, A. SHAH MOHAMMADI AZAR, G. REZAZADEH, and R. SHABANI, “THERMO-ELASTIC DAMPING IN NANO-BEAM RESONATORS BASED ON NONLOCAL THEORY,” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 26, no. 12 (TRANSACTIONS C: ASPECTS), pp. 1505–1514, 2013, [Online]. Available: https://sid.ir/paper/618312/en

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