INFLUENCE OF TEMPERATURE CHANGE ON MODAL ANALYSIS OF ROTARY FUNCTIONALLY GRADED NANO-BEAM IN THERMAL ENVIRONMENT

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SHAHABINEJAD E.; SHAFIEI N.; GHADIRI M.

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Journal: JOURNAL OF SOLID MECHANICS Year:2018 | Volume:10 | Issue:4 Page(s): 779-803

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Title

INFLUENCE OF TEMPERATURE CHANGE ON MODAL ANALYSIS OF ROTARY FUNCTIONALLY GRADED NANO-BEAM IN THERMAL ENVIRONMENT

Author(s)

SHAHABINEJAD E. | SHAFIEI N. | GHADIRI M. | Issue Writer Certificate

Keywords

ROTATING EULER-BERNOULLI BEAM

FG NANO-BEAM

ERINGEN ELASTICITY THEORY

GDQM

THERMAL VIBRATION

Abstract

The free vibration analysis of rotating functionally graded (FG) nano-beams under an in-plane thermal loading is provided for the first time in this paper. The formulation used is based on Euler-Bernoulli beam theory through Hamilton’ s principle and the small scale effect has been formulated using the ERINGEN ELASTICITY THEORY. Then, they are solved by a generalized differential quadrature method (GDQM). It is supposed that, according to the power-law form (P-FGM), the thermal distribution is non-linear and material properties are dependent to temperature and are changing continuously through the thickness. Free vibration frequencies are obtained for two types of boundary conditions; cantilever and propped cantilever. The novelty of this work is related to vibration analysis of rotating FG NANO-BEAM under different distributions of temperature with different boundary conditions using nonlocal Euler-Bernoulli beam theory. Presented theoretical results are validated by comparing the obtained results with literature. Numerical results are presented in both cantilever and propped cantilever nano-beams and the influences of the thermal, nonlocal small-scale, angular velocity, hub radius, FG index and higher modes number on the natural frequencies of the FG NANO-BEAMs are investigated in detail.

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APA: Copy

SHAHABINEJAD, E., SHAFIEI, N., & GHADIRI, M.. (2018). INFLUENCE OF TEMPERATURE CHANGE ON MODAL ANALYSIS OF ROTARY FUNCTIONALLY GRADED NANO-BEAM IN THERMAL ENVIRONMENT. JOURNAL OF SOLID MECHANICS, 10(4), 779-803. SID. https://sid.ir/paper/319585/en

Vancouver: Copy

SHAHABINEJAD E., SHAFIEI N., GHADIRI M.. INFLUENCE OF TEMPERATURE CHANGE ON MODAL ANALYSIS OF ROTARY FUNCTIONALLY GRADED NANO-BEAM IN THERMAL ENVIRONMENT. JOURNAL OF SOLID MECHANICS[Internet]. 2018;10(4):779-803. Available from: https://sid.ir/paper/319585/en

IEEE: Copy

E. SHAHABINEJAD, N. SHAFIEI, and M. GHADIRI, “INFLUENCE OF TEMPERATURE CHANGE ON MODAL ANALYSIS OF ROTARY FUNCTIONALLY GRADED NANO-BEAM IN THERMAL ENVIRONMENT,” JOURNAL OF SOLID MECHANICS, vol. 10, no. 4, pp. 779–803, 2018, [Online]. Available: https://sid.ir/paper/319585/en

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