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Dynamic response of composite laminated beams under asynchronous/repeated low-velocity impacts of multiple masses

机译：多质量异步/反复低速冲击下复合层合梁的动力响应

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摘要

This paper presents a theoretical method for low-velocity impact analysis of composite laminated beams with arbitrary lay-ups and various boundary conditions subjected to asynchronous/repeated impacts of multiple masses. The analysis is based on the higher-order shear deformation beam theory and the modified Hertzian contact law is used for modeling the interaction between the laminated beam and the impactors. Non-linear second-order partial differential equations of the motion are derived using the Lagrangian equations of the second kind. According to the Ritz method, simple polynomials are assigned to the shape functions of the displacement field of the laminated beam in order to satisfy arbitrary boundary conditions. The validity of the formulation is confirmed by comparing the present solutions with results available in the literature. Numerical examples showed that the time of impact play an important role on contact forces, beam displacements, absorbed energies by the beam and normal and shear stresses by positive and negative superposition of induced waves. (C) 2015 Elsevier Ltd. All rights reserved.
机译：本文提出了一种理论分析方法，该方法对任意层数和多种边界条件承受多质量异步/反复冲击的复合层合梁进行低速冲击分析。该分析基于高阶剪切变形梁理论，并使用修正的赫兹接触定律对叠层梁与冲击器之间的相互作用进行建模。使用第二种拉格朗日方程，可以得出运动的非线性二阶偏微分方程。根据Ritz方法，简单的多项式被分配给层压梁的位移场的形状函数，以便满足任意边界条件。通过将本发明的溶液与文献中可获得的结果进行比较，可以确认制剂的有效性。数值算例表明，冲击时间对接触力，梁位移，梁吸收的能量以及感应波的正负叠加的正应力和剪应力起着重要作用。 （C）2015 Elsevier Ltd.保留所有权利。

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