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首页> 外文期刊>Journal of thermal stresses >Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation
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Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation

机译:功能梯度压电单层纳米片的非局部瞬态电热机械振动和弯曲分析,基于粘-帕斯泰纳克基础

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摘要

This study develops the transient thermoelectromechanical vibration and bending analysis of a functionally graded piezoelectric nanosheet rest on visco-Pasternak's foundation. Nonlocal elasticity theory as well as classical plate theory is used to implement basic equations of the nanosheet. The plate is resting on visco-Pasternak's foundation and subject to mechanical, thermal, and electrical loadings. Hamilton's principle is used for derivation equations of motion in terms of displacement components. As a first case study and for validation of the responses of the system, nonlocal vibration analysis of nanosheet is studied. The effects of nonlocal parameter and nonhomogeneous index of nanosheet are studied on the fundamental frequencies of the system. As the main objective of this study, the electrothermal bending results of the nanosheet are studied. The effects of some important parameters such as nonlocal parameter, nonhomogeneous index, thickness, distribution of electric potential, and damping are calculated on the maximum deflection of the sheet under various thermal and electrical loadings.
机译:这项研究开发了基于粘滞式Pasternak基础的功能梯度压电纳米片的瞬态热机电振动和弯曲分析。非局部弹性理论以及经典的板理论被用来实现纳米片的基本方程。该板放置在粘胶Pasternak的基础上,并承受机械,热和电负荷。汉密尔顿原理用于根据位移分量推导运动方程。作为第一个案例研究并验证系统的响应,研究了纳米片的非局部振动分析。研究了非局部参数和纳米片非均匀指数对系统基本频率的影响。作为本研究的主要目的,研究了纳米片的电热弯曲结果。计算了一些重要参数的影响,例如非局部参数,不均匀指数,厚度,电势分布和阻尼,这些都是在各种热和电负荷下,片材的最大挠度。

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