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Analytical Solution for Low-Velocity Impact Response of Composite Plates

机译:复合板低速冲击响应的解析解

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摘要

An analytical model for the impact response of laminated composite plates is presented. The governing equations, which apply to small deflection elastic response of specially orthotropic laminates, include the combined effects of shear deformation, rotary inertia, and the nonlinear Hertzian contact law. For simply supported boundary condi- tions, a Fourier series solution is presented that, in contrast to previously published work, retains the frequencies associated with rotary inertia effects throughout the analysis. Errors that are incurred in the analysis of impact events, where the contact force history is obtained as part of the solution process, are investigated and guidelines to achieve converged solutions are recommended.
机译:提出了复合材料层合板冲击响应的分析模型。适用于特殊正交各向异性层压板的小挠曲弹性响应的控制方程式包括剪切变形,旋转惯性和非线性赫兹接触定律的综合影响。对于简单支持的边界条件,提出了一种傅立叶级数解,与先前发表的工作相反,在整个分析过程中保留了与旋转惯性效应相关的频率。研究在冲击事件分析中产生的误差,在该误差事件中,在解决过程中会获取接触力历史记录,并建议实现收敛解决方案的准则。

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