The degree of static indeterminacy and its spatial distribution characterize load-bearing structures independent of a specific load case. The redundancy matrix stores the distribution of the static indeterminacy on its main diagonal, and thereby offers the possibility to use this property for the assessment of structures. It is especially suitable to be used in early planning stages for design exploration. In this paper, performance indicators with respect to robustness and assemblability are derived from the redundancy matrix. For each of the performance indicators, a detailed matrix-based derivation is given and the application is showcased with various truss examples.
翻译:静不定度及其空间分布表征了承载结构在特定荷载工况下的独立性。冗余矩阵的主对角线存储了静不定度的分布信息,从而为利用该特性进行结构评估提供了可能。该矩阵尤其适用于早期规划阶段的设计探索。本文从冗余矩阵推导出与鲁棒性和可装配性相关的性能指标。针对每个性能指标,给出了详细的矩阵推导过程,并通过多种桁架实例展示了其应用。