﻿ 考虑轴向均布载荷时线弹性支承压杆的稳定性计算

# 考虑轴向均布载荷时线弹性支承压杆的稳定性计算Stability Calculation of Long Column under Linear Elastic Supports and Extra Axial Uniform Load

Abstract: For calculating the stability of long column under linear elastic supports and extra axial uniform load, first of all, with the static equilibrium conditions of the micro section of long column, the ap-proximate equations of deformations and internal forces are established; The next, by the boundary conditions of deformations and internal forces, and the relationship between internal forces and external forces, and the relationship between external forces and deformations, the homogeneous linear equations of containing 12 initial parameters are established, by the conditions of equations with non-zero solution, the characteristic equation of critical load are derived; The last, taking 6 linear elastic supports long columns as example, the stability is calculated, the approximate relation curves between axial uniform load and concentrated load are drawn, and the numerical solutions of intercepts on Cartesian coordinate system are given, and found that the trend of each curve, and the relationship of sorting to stability represented by them, are more consistent with theoretical expectations.

[1] 刘协权, 倪新华 (2003) 支承弹性对压杆临界载荷的影响. 军械工程学院学报, 3, 73-77.

[2] 叶学林, 周瑞忠 (2003) 半刚性连接压杆的稳定计算公式. 福建建筑, 85, 21-23.

[3] 宣海洋 (2010) 弹性介质上等截面压杆稳定分析. 山西建筑, 9, 45.

[4] 黄开志, 陈小亮 (2014) 两端任意线弹性支承的压杆稳定性研究. 四川理工学院学报(自然科学版), 5, 22-24.

[5] 黄开志, 陈小亮 (2014) 任意线弹性支承的双跨压杆稳定性计算. 武汉工程大学学报, 9, 7-11.

[6] 田炜烽, 郝际平, 丁戈, 等 (2012) 任意分布轴力作用下框架柱弹性稳定的实用解法. 工程力学, 2, 74-79.

[7] 吴晓, 杨立军, 郑长成 (2008) 轴向载荷和均布载荷作用下压杆的屈曲研究. 四川建筑科学研究, 5, 34, 35, 65.

[8] 张平占 (1995) BHA受压失稳的模型及临界钻压公式. 煤田地质与勘探, 5, 59-62.

[9] 马肖, 韩春民 (2009) 具有较大初始位移的拼组柱在分布与集中荷载共同作用下的承载能力分析. 四川建筑科学研究, 3, 27-29.

Top