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Nonlinear dynamic response of FGM beams with Winkler-Pasternak foundation subject to noncentral low velocity impact in thermal field

机译:温场中非中心低速冲击下具有Winkler-Pasternak基础的FGM梁的非线性动力响应

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摘要

In this paper a nonlinear investigation is presented for noncentral low-velocity impact analysis of functionally graded material beams which are resting on Winkler-Pasternak elastic foundation with simply supported boundary condition. A Reddy's higher order shear deformation beam theory with a von Korman-type of kinematic nonlinearity is implemented in order to derive the governing equations of the beam. Moreover, the effect of heat conduction is considered and material properties of panels are assumed to be temperature dependent and vary along the thickness according to Voigt model. In addition, by using a modified Hertz's contact law, the influence of material properties of the substrate layers on impact response and a general case of impact with different indenter's axial position is taken into account. The equations of motion are solved via an asymptotic procedure. The effects of elastic foundation, indenter's initial velocity, indenter's axial position, thermal field and geometry are discussed. (C) 2017 Elsevier Ltd. All rights reserved.
机译:本文提出了一种非线性研究方法,对功能梯度材料梁的非中心低速冲击分析进行了研究,该梁位于具有简单支撑边界条件的Winkler-Pasternak弹性基础上。运用具有von Korman型运动非线性的Reddy高阶剪切变形梁理论,以导出梁的控制方程。此外,考虑了热传导的影响,并且根据Voigt模型,假定面板的材料属性与温度有关,并且会沿厚度变化。另外,通过使用修改的赫兹接触定律,考虑了衬底层的材料性质对冲击响应的影响以及具有不同压头轴向位置的冲击的一般情况。运动方程通过渐近过程求解。讨论了弹性地基,压头的初始速度,压头的轴向位置,热场和几何形状的影响。 (C)2017 Elsevier Ltd.保留所有权利。

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