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本文在对一阶变系数微分方程组的数值解分析的基础上, 提出了一种数值传递函数方法, 作为对传递函数方法的一种直接推广。利用这种方法可以很方便地把传递函数方法扩展到各种变系数微分方程问题, 本文以变截面梁为例进行了讨论, 并建立了一种通用单元以减少计算。数值算例表明本方法具有精度高、应用灵活的特点。
Based on the numerical solution of first order differential equations with variable coefficients, a numerical transfer function method is proposed as a direct extension of the transfer function method. The transfer function method can be easily extended to all kinds of variable coefficient differential equations by using this method. In this paper, a variable cross-section beam is discussed as an example, and a universal unit is set up to reduce the calculation. Numerical examples show that this method has the characteristics of high precision and flexible application.