几何非线性分析中的割线刚度矩阵与切线刚度矩阵及其关系

Secant and Tangent Stiffness Matrices and Their Relationship in Geometric Nonlinear Analysis

根据T、L描述法,详细推导了几何非线性分析中的割线刚度矩阵和切线刚度矩阵一般表达式,并给出了两者之间的数学关系。本文的结果对于结构的几何非线性问题具有重要的意义。

Based on the total Lagrangian formulation, the formulas of both secant and tangent stiffness matrices in geometric nonlinear analysis are derived in detail in this paper, and their mathematical relationship is given. The results obtained will be of great significance to the analysis of geometric nonlinearity for structures.