矩阵递归法的基本理论与应用

APPLICATION OF MATRIX RECURRENCE METHODTO STRUCTURE ANALYSIS

结构分析的数值方法最终归结为代数方程组的求解。工程中相当广泛的一类结构,其定解方程为矩阵三对角式。本文的矩阵递归法解决上述结构的力学计算问题。矩阵递归法推广了三对角方程组的递推法,以矩阵作为递归元,不须形成整体方程组,从而大大地节省内存,又简化了一系列的复杂计算。本文的最后通过实例说明了这种方法的优越性。

<ABSTRACT>:The application of numerical value method to structure analysis leads to solving a set of algebraic equation. The Governing algebraic equations of many structures in engineering are matrix-triple diagonal onse. In this paper,MRM is proposed to solve the matrix-triple diagonal equations. The way to solute algebraic equation is spread by this method. Complicated calculating process is simplified. To illustrate this,an example is given-