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在非线性分析的基础上,基于单层网壳结构的失稳机理,对临界点时的失稳区域进行平衡扰动。具体利用奇异值分解法对失稳区域进行几何稳定性判定,并得到相应可能发生的机构位移模态,根据最小势能原理求出失稳后的几何形态,使其进入后屈曲平衡路径。本文的方法是基于网壳结构失稳时的不稳定运动进行的,较为合理地反映了结构失稳的过程,对网壳结构稳定分析方法的进一步研究具有重要意义。
Based on the nonlinear analysis, based on the instability mechanism of the single-layer reticulated shell structure, the disturbed area in the critical point is balanced and disturbed. Specifically, the singular value decomposition method is used to determine the geometric stability of the instability zone, and the corresponding displacement mechanism can be obtained. According to the principle of minimum potential energy, the geometry after instability is obtained and enters the post-buckling equilibrium path. The method in this paper is based on the unsteady movement of the reticulated shell structure, which reflects the process of structural instability reasonably. It is of great significance to further study the stability analysis of the reticulated shell structure.