摘要
本文应用有限差分法，把求解变截面梁挠度的微分方程组变成了特殊的三对角线性方程组。由于该方程组的系数矩阵为对角占优阵，从而实现了用中小型计算机解算大型矩阵的目的。运用该方法能够方便地算出变截面梁的挠度。
This paper uses the finite differentiation method to turn the solution of the varying acrossing-section beam into a special tridiagonal linear equations set .As the coefficient matrices of the linear equation set are tridiagonal matrices.Resolution of large matrices by Micro-computers can be realized.We use this method conveniently to work out the deflection of the varying acrossing section beam .
关键词
材料力学
挠度
有限差分法
三对角矩阵
变截面梁
mechanics of materials, deflection,finite differentiation method,tridiagonal matrices,Lu method
