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A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams

机译:部分动态加载对非局部功能分级材料束动态响应的影响综述

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摘要

With the use of differential quadrature method (DQM), forced vibrations and resonance frequency analysis of functionally graded (FG) nano-size beams rested on elastic substrate have been studied utilizing a shear deformation refined beam theory which contains shear deformations influence needless of any correction coefficient. The nano-size beam is exposed to uniformly-type dynamical loads having partial length. The two parameters elastic substrate is consist of linear springs as well as shear coefficient. Gradation of each material property for nano-size beamhas been defined in the context of Mori-Tanaka scheme. Governing equations for embedded refined FG nanosize beams exposed to dynamical load have been achieved by utilizing Eringen's nonlocal differential law and Hamilton's rule. Derived equations have solved via DQM based on simply supported-simply supported edge condition. It will be shown that forced vibrations properties and resonance frequency of embedded FG nano-size beam are prominently affected by material gradation, nonlocal field, substrate coefficients and load factors.
机译:通过使用差分正交方法(DQM),利用剪切变形精制光束理论研究了在弹性基板上的功能梯度(FG)纳米尺寸光束的强制振动和共振频率分析,该剪切变形精制光束理论包含剪切变形的剪切变形影响任何校正系数。纳米尺寸光束暴露于具有部分长度的均匀型动力负载。两个参数弹性基板由线性弹簧以及剪切系数组成。在Mori-Tanaka计划的背景下定义了纳米尺寸横梁的每个材料性质的渐变。通过利用eringen的非局部差分法和汉密尔顿的规则,已经实现了暴露于动态负荷的嵌入式精制FG纳米尺寸梁的控制方程。基于简单支持的简单的支持的边缘条件,通过DQM解决了衍生方程。结果表明,嵌入式FG纳米尺寸光束的强制振动性能和共振频率突出地受到材料灰度,非本场,衬底系数和负载因子的影响。

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