单层球面网壳失稳区域的平衡扰动

Research on the Equivalence Perturbation of Instability Regions of Single-Layer Spherical Latticed Domes

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 principle of instability for latticed Domes,the equivalent state of instability region at the critical point is perturbed by the methods of singular value decomposition, and the structural geometrical shapes after losing stability are attained to make the structures be transferred to the post-buckling equivalent state. The improved displacement perturbation methods could reasonably reflect the instability process and it is important in promoting the stability analysis of latticed shells.