﻿ 基于精细积分法和传递矩阵法的变截面压杆临界力

# 基于精细积分法和传递矩阵法的变截面压杆临界力Critical Loads of Variable Cross-Section Compressive Rods Based on Precise Integration Method and Transfer Matrix Method

Abstract: A combination method of critical load of variable cross-section compressive rods was put forward based on precise integration method and transfer matrix method. First of all, the rod was divided into many sections and every section was viewed as uniform cross-section; the transfer matrixes of all the compressive sections were deduced according to theory of material mechanics, equilibrium principle and theory of matrix. Then the transfer matrix of whole variable cross-section compressive rod was obtained by means of deformation and internal force relationships between adjacent sections. Finally, a characteristic equation to solve the critical load of the variable cross-section compressive rod was presented. Results show that the present method is an easy one to program, control precisely and use conveniently.

[1] 马宝平, 郭树起, 冯自进. 变截面压杆的临界荷载计算[J]. 石家庄铁道大学学报(自然科学版), 2003, 26(2): 106- 110.

[2] 刘庆潭, 倪国荣. 变截面压杆稳定计算的传递矩阵法[J]. 长沙铁道学院学报, 1995, 13(3): 60-66.

[3] 郑建军, 刘兴业. 任意变截面压杆稳定计算的传递矩阵法[J]. 天津城建学院学报, 1994(1-2): 52-54.

[4] 张煜. 变截面压杆稳定性分析的矩阵传递法[J]. 贵州工业大学学报(自然科学版), 2000, 29(5): 7-12.

[5] 谢海, 寿开荣, 李龙, 李剑敏. 基于最小势能原理的变截面压杆临界压力的计算方法[J]. 浙江理工大学学报, 2013, 30(1): 87-89.

[6] 卞敬玲, 王小岗. 变截面压杆稳定计算的有限单元法[J]. 武汉大学学报(工学版), 2002, 35(4): 102-104.

Top