山西建筑2025,Vol.51Issue(3) :50-56.DOI:10.13719/j.cnki.1009-6825.2025.03.010

不考虑几何刚度的桁架结构非线性分析方法

Nonlinear analysis method of truss structures with no consideration of geometric stiffness

范秀娟 陈安全 张颖 杨耀
山西建筑2025,Vol.51Issue(3) :50-56.DOI:10.13719/j.cnki.1009-6825.2025.03.010

不考虑几何刚度的桁架结构非线性分析方法

Nonlinear analysis method of truss structures with no consideration of geometric stiffness

范秀娟 1陈安全 1张颖 1杨耀1
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作者信息

  • 1. 内江师范学院建筑工程学院,四川 内江 641100
  • 折叠

摘要

一般进行结构非线性分析时,需特别考虑在大变形情况下结构刚度的变化,但切线刚度或几何刚度的推导过程较为复杂,众多研究关注于结构单元刚度矩阵的推导而忽略了非线性分析的整体过程.基于增量迭代非线性分析的力学机制,在保证桁架单元节点恢复力求解精度的情况下,仅考虑弹性或弹塑性刚度而不考虑桁架结构的几何刚度也可以分析桁架结构的非线性行为.通过与常规考虑几何刚度的情况进行对比分析,计算结果十分吻合,只是增加了少量的计算时间与迭代次数.此不考虑几何刚度的桁架结构非线性计算过程物理意义清晰,可推广至其他类型的结构.

Abstract

The change of structural stiffness in the case of large deformation should be specially considered in the nonlin-ear analysis of structures,However,the derivation process of tangential stiffness or geometric stiffness is complicated,so many researches focus on the derivation of structural element stiffness matrix and ignore the whole process of nonlinear a-nalysis.Based on the mechanical mechanism of incremental iterative nonlinear analysis,the nonlinear behavior of the truss structure can be analyzed by using only elastic or elastic-plastic stiffness without considering the geometric stiffness of the truss structure while ensuring the solution accuracy of the element node recovery force.By comparison and analysis with the conventional geometrical stiffness,the calculated results are in agreement,but the calculation time and iteration times are increased slightly.The nonlinear calculation process of truss structure without considering geometrical stiffness has clear physical meaning and can be extended to other types of structures.

关键词

桁架结构/几何非线性/材料非线性/增量迭代法/几何刚度

Key words

truss structures/geometric nonlinearity/material nonlinearity/incremental iteration method/geometric stiff-ness

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出版年

2025
山西建筑
山西省建筑科学研究院

山西建筑

影响因子:0.714
ISSN:1009-6825
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