Abstract This article concerns numerical simulations of glass plates loaded by a force impulse caused by a low velocity impact. Three types of numerical models of different complexity – the spring-mass system, the modal decomposition based model, and the conventional finite element method – all exploiting the Hertz contact law are compared and their advantages and limitations are discussed. Their performance is verified against the results provided by the commercial software LS-DYNA and validated by two full scale experiments. It is observed that the accuracy of the spring-based model decreases with increasing dimension of the plate and increasing stiffness of the impactor. Nevertheless, the models based on modal decomposition and finite element methods deliver results reasonably close to experimental measurements.

中文翻译：

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低速冲击下弹性玻璃板的降阶模型

摘要 本文涉及由低速冲击引起的力脉冲加载的玻璃板的数值模拟。三种不同复杂度的数值模型——弹簧质量系统、基于模态分解的模型和传统的有限元方法——都利用赫兹接触定律进行了比较，并讨论了它们的优点和局限性。它们的性能根据商业软件 LS-DYNA 提供的结果进行了验证，并通过两个全尺寸实验进行了验证。据观察，基于弹簧的模型的精度随着板尺寸的增加和冲击器刚度的增加而降低。然而，基于模态分解和有限元方法的模型提供的结果与实验测量相当接近。