This paper presents a methodology for characterizing the responses of elastic-plastic beams to low-energy impacts. The objective is to construct a new full impact characterization diagram by considering the effects of multiple impacts. The diagram shows the relationship between normalized maximum impact force and non-dimensional parameters. It is applied to fast identify the types of impact responses for selecting adequate simple models and to fast predict the maximum impact force for designing safer structures and operations. Through the asymptotic solutions and numerous finite element simulations, the full impact characterization diagram is first constructed. It consists of the new relationship of non-dimensional parameters, characteristic curves and regional boundaries. It is found to be intrinsically different from the plate impact characterization diagram. Some conflicts have been revealed without considering the effect of multiple impacts as was done for plate impacts. A jump region is first observed between the region of infinite beam impacts and the regions of transition impacts and quasi-static impacts. Several new distinct evolution modes of response types are observed as well. These new phenomena are caused by the nature of beam impact responses and the effects of multiple impacts. The full impact characterization diagram is validated by the numerous experimental data and intensive numerical results of a wide range of the complicated beam impacts. The validations show that the full impact characterization diagram is a powerful analytical prediction tool to minimize the enormous computational and experimental efforts in tests and analyses.

中文翻译：

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考虑多重冲击的梁弹塑性冲击响应表征


本文提出了一种表征弹塑性梁对低能冲击响应的方法。目标是通过考虑多重影响的影响来构建新的完整影响特征图。该图显示了归一化最大冲击力与无量纲参数之间的关系。它用于快速识别冲击响应的类型，以选择足够的简单模型，并快速预测最大冲击力，以设计更安全的结构和操作。通过渐近解和大量的有限元模拟，首先构建了完整的冲击特性图。它由无量纲参数、特征曲线和区域边界的新关系组成。发现它与板块冲击特性图有着本质上的不同。一些冲突的揭示没有像板块撞击那样考虑多重撞击的影响。首先在无限光束冲击区域与过渡冲击和准静态冲击区域之间观察到跳跃区域。还观察到了几种新的、独特的反应类型进化模式。这些新现象是由梁冲击响应的性质和多重冲击的影响引起的。完整的冲击特性图经过大量实验数据和各种复杂梁冲击的密集数值结果的验证。验证表明，完整的影响表征图是一种强大的分析预测工具，可以最大限度地减少测试和分析中的大量计算和实验工作。