非线性分析中的全量刚度矩阵与增量刚度矩阵

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The Increment Stiffness Matrix and Total Quantum Stiffness in Nonlinear Analyses

摘要: 本文详细导出了非线性分析中的全量(割线)刚度矩阵和增量(切线)刚度矩阵的一般表达式,并由此进一步讨论了它们二者之间的数学关系.本文的结果对于非线性方程的求解,及非线性、线性稳定性分析都具有重要帮助作用.

Abstract: In this paper, the expressions of both increment stiffness matrix and total quantum stiffness matrix in nonlinear analyses are derived in detail, and their relationship is discussed in mathematical meaningThe results given in our paper will be of great importance to the analyses of nonlinear numerical and nonlinear stability in finite element methods.

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