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Nonlinear dynamic characteristics and stability of composite orthotropic plate on elastic foundation under thermal environment

机译：热环境下弹性正交各向异性正交异性板的非线性动力特性和稳定性

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摘要

An analytical computational scheme for nonlinear dynamic characteristics and stability of an eccentrically composite orthotropic plate on Winkler-Pasternak elastic foundation subjected to different axial velocities is proposed with the incorporation of mercurial damping effects under thermal environment. Incorporating the classical plate theory and Von-Karman strain-displacement relation, the nonlinear compatibility equation is derived. The Galerkin method and Airy's stress function are implemented to establish the nonlinear dynamic buckling equation accommodating the thermal and damping effects. Then the developed nonlinear differential equations are solved numerically by the fourth-order RungeKutta method. The characteristics of natural frequency, linear and nonlinear vibration, frequency amplitude curve and nonlinear dynamic responses are investigated by the developed approach with validations by other literatures. The nonlinear dynamic budding loads are determined by using BudianskyRoth criterion. Additionally, various effects of velocity, damping ratio, temperature change, buckling mode, initial imperfection and foundation parameter on nonlinear dynamic buckling of the orthotropic plate are discussed. (C) 2017 Elsevier Ltd. All rights reserved.
机译：提出了一种在轴向温度不同的情况下，结合Werler阻尼效应对温克勒-帕斯泰纳克弹性地基上的偏心复合正交各向异性板的非线性动力特性和稳定性的解析计算方案。结合经典板理论和Von-Karman应变位移关系，推导了非线性相容性方程。运用Galerkin方法和Airy应力函数，建立了考虑热效应和阻尼效应的非线性动力屈曲方程。然后用四阶RungeKutta方法数值求解所开发的非线性微分方程。通过开发的方法研究了固有频率，线性和非线性振动，频率振幅曲线和非线性动态响应的特性，并得到了其他文献的验证。使用BudianskyRoth准则确定非线性动态萌芽载荷。此外，还讨论了速度，阻尼比，温度变化，屈曲模式，初始缺陷和基础参数对正交异性板非线性动力屈曲的各种影响。 （C）2017 Elsevier Ltd.保留所有权利。

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