Size-Dependent Higher Order Thermo-Mechanical Vibration Analysis of Two Directional Functionally Graded Material Nanobeam
Publish place: Journal of Solid Mechanics، Vol: 13، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JSMA-13-1_002
تاریخ نمایه سازی: 23 مرداد 1400
Abstract:
This paper represented a numerical technique for discovering the vibrational behavior of a two-directional FGM (۲-FGM) nanobeam exposed to thermal load for the first time. Mechanical attributes of two-directional FGM (۲-FGM) nanobeam are changed along the thickness and length directions of nanobeam. The nonlocal Eringen parameter is taken into the nonlocal elasticity theory (NET). Uniform temperature rise (UTR), linear temperature rise (LTR), non-linear temperature rise (NLTR) and sinusoidal temperature rise (STR) during the thickness and length directions of nanobeam is analyzed. Third-order shear deformation theory (TSDT) is used to derive the governing equations of motion and associated boundary conditions of the two-directional FGM (۲-FGM) nanobeam via Hamilton’s principle. The differential quadrature method (DQM) is employed to achieve the natural frequency of two-directional FGM (۲-FGM) nanobeam. A parametric study is led to assess the efficacy of coefficients of two-directional FGM (۲-FGM), Nonlocal parameter, FG power index, temperature changes, thermal rises loading and temperature rises on the non-dimensional natural frequencies of two-directional FGM (۲-FGM) nanobeam.
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Authors
M Mahinzare
School of Engineering, Tehran University, Tehran, Iran
S Amanpanah
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
M Ghadiri
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
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