Post Buckling Behavior And Imperfection Sensitivity Of Space Trusses With Multiple Eigenmodes

拟议的研究将开发一种方法来确定任何格子型结构的最差缺陷形状，以及缺陷大小与相应的承载能力下降之间的简单关系，对于小缺陷来说，这是一个渐近准确的关系。这将通过Lyapunov-Schmidt-Koiter分解和渐近结果，以及迭代数值技术来实现，该技术允许跟踪缺陷结构的极限点，同时改变缺陷(或其他设计参数)的大小和/或形状。

The proposed investigation will develop a methodology to determine the worst shape of imperfection for any lattice type structure, as well as a simple relationship between the magnitude of the imperfection and the corresponding drop in a load carrying capacity that is a asymptotically exact for small imperfections. This will be achieved by means of the Lyapunov-Schmidt-Koiter decomposition followed by asymptotic results, as well as by an iterative numerical technique which allows the limit point for the imperfect structure to be traced while changes in the size and/or shape of the imperfection (or other design parameter) are made.