等截面梁有限变形的传递函数增量算法

本文介绍了一种计算等截面梁有限变形的新方法－传递函数增量算法，它是一种半解析数值计算方法。此算法充分利用增量失空法Ｇａｕｓｓ求积公式计算非线性有限变形的特点，并将这些特点与传递函数方法，有效地结合起来，既避免了数值方法计算量大的困难，又使得求解高阶非线性微分方程的解析解成为可能，算例分析表明，这是一种易编程，计算量小，收敛快，求解精度高的行之有效的计算方法。

THE FINITE DEFORMATION OF UNIFORM BEAMS BY THE INCREMENT METHOD OF DISTRIBUTED TRANSFER FUNCTION

In this paper, a new method called the increment method of distributed transfer function is presented to compute the finite deformation of uniform beams. This method is classified as one of the quasianalytic numerical method. As the characteristics of the increment method and Gaussian quadrature formulas are combined effectively with the method of distributed transfer function to evaluate the nonlinear finite deformation, thus the use of the method not only avoids large scale calculation in the numerical method , but also makes it possible to evaluate higher order differential equations. Numerical examples show that this method has merits that it has good convergence,high precision,much less amount of numerical work and is convenient for computer coding.