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A new finite element model for low-velocity impact analysis of sandwich beams subjected to multiple projectiles

机译：一种新的有限元模型，用于多弹丸夹心梁的低速冲击分析

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摘要

In this paper, a new finite element formulation is presented for high-order impact analysis of sandwich beams with any boundary conditions subjected to simultaneous multiple small projectiles. The contact of the projectiles may occur on arbitrary places on both faces of the beam. Hamilton's principle is used for driving the governing partial differential equations of motion. The effect of each projectile is modeled by a one degree of freedom spring-mass system with variable stiffness by assuming the Hertzian contact law. The appropriate elemental matrices are derived for a sandwich beam element that carrying four sprung masses on both face sheets. Based on the presented formulation, an FE code is developed using the New-mark method with direct iteration process. The various cases are used to validate the predictions of the presented higher order theory and FE formulation shows good agreement with available results in the open literature and exact solution. Furthermore, numerical examples are presented to investigate effects of various parameters on the response of the structure.
机译：在本文中，提出了一种新的有限元公式，用于在任意边界条件下同时承受多个小弹丸的夹层梁的高阶冲击分析。射弹的接触可能发生在梁两面上的任意位置。汉密尔顿原理用于驱动控制运动的偏微分方程。通过假设赫兹接触定律，通过具有可变刚度的一自由度弹簧-质量系统对每个弹丸的作用进行建模。对于在两个面板上承载四个弹簧质量的夹心梁单元，得出适当的元素矩阵。基于提出的公式，使用具有直接迭代过程的New-mark方法开发了FE代码。各种情况用于验证所提出的高阶理论的预测，有限元公式与公开文献中的可用结果和精确的解决方案显示出很好的一致性。此外，还提供了数值示例来研究各种参数对结构响应的影响。

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