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本文根据弹性力学基本方程式,运用“递推回代法”由有关的线性代数方程组解出了N层(N为任意正整数)弹性连续体系各层应力、位移积分公式中积分常数的表达式。通过对表达式的分析以及相应的数学运算,得到了适用于N层体系的应力、位移积分计算的一系列公式。在此基础上编制了N层连续体系的电算程序。文中列出了部分试算结果。
Based on the basic equations of elastic mechanics, this paper uses the “recursive back generation method” to solve the expression of the integral constants in the stress and displacement integral formulas of N layers (N is any positive integer) elastic continuous system from the related linear algebraic equations. . Through the analysis of the expressions and the corresponding mathematical operations, a series of formulae for calculating the stress and displacement integrals of the N-layer system are obtained. On this basis, a computer program for N-layer continuous systems was developed. Some trial results are listed in the article.