Forced Vibration Analysis of Functionally Graded Anisotropic Nanoplates Resting on Winkler/Pasternak-Foundation
作者机构：Department of Mechanical EngineeringMarvdasht BranchIslamic Azad UniversityMarvdashtIran Institute of Research and DevelopmentDuy Tan UniversityDa NangViet Nam
出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)
年 卷 期：2020年第62卷第2期
页 面：607-629页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Functionally graded materials dynamic deflection nonlocal train gradient theory Winkler-Pasternak elastic foundation
摘 要：This study investigates the forced vibration of functionally graded hexagonal nano-size plates for the first time.A quasi-three-dimensional(3D)plate theory including stretching effect is used to model the anisotropic plate as a continuum one where small-scale effects are considered based on nonlocal strain gradient ***,the plate is assumed on a Pasternak foundation in which normal and transverse shear loads are taken into *** governing equations of motion are obtained via the Hamiltonian principles which are solved using analytical based methods by means of Navier’s *** influences of the exponential factor,nonlocal parameter,strain gradient parameter,Pasternak foundation coefficients,length-to-thickness,and length-to-width ratios on the dynamic response of the nanoplates are *** addition,the accuracy of an isotropic approximate instead of the anisotropic model is *** dynamic behavior of the system shows that mechanical mathematics-based models may get better results considering the anisotropic model because the dynamic response can cause prominent differences(up to 17%)between isotropic approximation and anisotropic model.
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