中文摘要：

有限质点法是以向量式结构力学为基础的崭新的结构分析方法。该文以该方法为基础,综合考虑结构的几何非线性、材料非线性和构件断裂,研究单层球面网壳结构在地震作用下的连续倒塌破坏全过程。该文介绍了有限质点法的基本理论,提出了该方法分析结构非线性问题和断裂问题的具体思路。采用直接输入法输入地震波,利用自编程序实现了单层球面网壳结构倒塌全过程模拟。研究了矢跨比对球面网壳强震作用下倒塌性能的影响,讨论了结构的倒塌时间和倒塌模式,并基于结构的倒塌模式通过局部加强法对单层球面网壳结构进行了抗倒塌设计。

英文摘要：

A Finite Particle Method（FPM） based on vector mechanics is proposed. Utilizing the new structural analysis method, the framework of the seismic progressive collapse analysis of single-layer reticulated domes is performed by taking the geometric nonlinearity, material nonlinearity, and member fracture into account. The theoretical fundamentals of the FPM are derived. The method and algorithm to handle nonlinearities and member fracture are developed. The direct input method is adopted to consider seismic actions. The whole seismic progressive collapse procedure for a single-layer reticulated dome is simulated using self-coded programs. The effects of rise-span ratios on the anti-collapse performance of single-layer reticulated domes are investigated. The collapse times and modes are also discussed. Local strengthening is used in the anti-collapse design of a singlelayer reticulated dome based on different collapse modes of space domes.