论文标题
有效更新桁架和框架结构的冗余矩阵
Efficient Update of Redundancy Matrices for Truss and Frame Structures
论文作者
论文摘要
冗余矩阵提供了有关静态不确定结构的负载行为的见解。 This information can be employed for the design and analysis of structures with regard to certain objectives, for example reliability, robustness, or adaptability.在这种情况下，通常会借助轻微的调整对结构进行迭代检查。但是，由于需要昂贵的矩阵操作，因此此过程通常需要高度计算工作来重新计算冗余矩阵。本文通过提供通用代数配方来有效地更新冗余矩阵（及相关矩阵）来解决此问题。该配方包括各种修改，例如添加，删除和交换元素，并且适用于桁架和框架结构。通过几个示例，我们证明了公式与它们的机械解释之间的相互作用。最后，提出了可缩放结构的性能测试。
Redundancy matrices provide insights into the load carrying behavior of statically indeterminate structures. This information can be employed for the design and analysis of structures with regard to certain objectives, for example reliability, robustness, or adaptability. In this context, the structure is often iteratively examined with the help of slight adjustments. However, this procedure generally requires a high computational effort for the recalculation of the redundancy matrix due to the necessity of costly matrix operations. This paper addresses this problem by providing generic algebraic formulations for efficiently updating the redundancy matrix (and related matrices). The formulations include various modifications like adding, removing, and exchanging elements and are applicable to truss and frame structures. With several examples, we demonstrate the interaction between the formulas and their mechanical interpretation. Finally, a performance test for a scaleable structure is presented.
