论文标题
通过光谱和优化方法来定位最小的刚度及其均匀结构的方向
Localising the Smallest Stiffness and its Direction of a Homogeneous Structure by Spectral and Optimisation Approaches
论文作者
论文摘要
结构刚度在工程设计中起着重要作用。刚度的分析需要精确的实验和计算模型，这些模型可能很困难或耗时。本研究引入了基于模态分解的模态和静态刚度之间的新型关系。这种关系允许分析最小的结构刚度及其方向。此外，证明可以使用基于结构合规性最大化的优化算法找到最小的刚度。在几个计算示例上比较了两种方法，从而在最小的刚度及其方向方面取得了相似的结果。提出的方法是用于分析结构刚度的定量/定性工具，尤其是在结构健康监测中。
Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time-consuming to procure. A novel relation between modal and static stiffness based on modal decomposition is introduced in this study. This relation allows analysing the smallest structural stiffness and its direction. Further, it is shown that the smallest stiffness can be found using an optimisation algorithm that is based on the maximisation of structural compliance. Both approaches are compared on several computational examples leading to similar results in terms of smallest stiffness and its direction. The proposed approaches serve as quantitative/qualitative tools for the analyses of structural stiffness, particularly in structural health monitoring.
