Abstract Frames structures are systems made of connected elements and are widely diffused in civil and industrial engineering. Like other structural types, they can suffer damages. Element removal can cause the collapse of the whole structure. Alternate load path is a strategy to prevent collapse through the redistribution of the forces to the safe elements. Although this approach is largely adopted in the design of robust structures, the knowledge on how the redistribution mechanism act is still limited. To understand the mechanisms that raise, the strain energy in each structural component is considered as indicator. Two dimensionless quantities, i.e., beam-to-column flexural stiffnesses and transposed-to-proper column inertia are found to be the two relevant terms that rule the patterns of strain energy on the damaged frame. A relationship between the patterns, the increment of energy and the two dimensionless quantities is found, providing interesting insights into the behavior of such statically indeterminate structure. The results can be used for new approaches to robustness-oriented structural design.

中文翻译：

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受损弹性框架中的能量再分配模式

摘要 框架结构是由相互连接的元素组成的系统，广泛应用于土木和工业工程。像其他结构类型一样，它们可能会遭受损坏。元素移除会导致整个结构的倒塌。交替加载路径是一种通过将力重新分配到安全元件来防止崩溃的策略。尽管这种方法在健壮结构的设计中被广泛采用，但关于再分配机制如何起作用的知识仍然有限。为了理解产生的机制，每个结构部件中的应变能被视为指标。发现两个无量纲量，即梁到柱的弯曲刚度和转置到适当的柱惯量是两个相关术语，它们决定了损坏框架上的应变能模式。发现了模式、能量增量和两个无量纲量之间的关系，为这种静态不确定结构的行为提供了有趣的见解。结果可用于面向稳健性的结构设计的新方法。