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弹性支撑阶梯柱侧向位移与稳定性的精确分析

都亮 陆念力 兰朋

哈尔滨工程大学学报Issue(8):993-996,4.
哈尔滨工程大学学报Issue(8):993-996,4.DOI:10.3969/j.issn.1006-7043.201305059

弹性支撑阶梯柱侧向位移与稳定性的精确分析

Precise analysis for lateral displacement and stability of stepped column with elastically restrained

都亮 1陆念力 1兰朋1

作者信息

  • 1. 哈尔滨工业大学 机电工程学院,黑龙江 哈尔滨150001
  • 折叠

摘要

Abstract

In order to get the precise solution for the stiffness and stability problems of the stepped column that is e-lastically restrained in a plane, a reasonable equivalence of the in-plane force model for the box stepped column was given. Based on the vertical and horizontal bending theory, this paper establishes the deflection differential e-quations of the variable cross-section stepped columns elastically restrained. Combining the proper boundary condi-tions, the precise recurrence expression of the flexibility and structural buckling characteristic equations of the arbi-trary sectioned stepped column on the top are represented, and as a result the explicit expression of the commonly used box telescopic boom in practice was given. The stability analysis results obtained in this paper were compared with ANSYS. The comparison shows that the results obtained through ANSYS and the buckling characteristic equa-tions are consistent with each other, which also verifies the correctness of this method. This method offers a simple, convenient and precise way to determine the deflection and buckling critical force of the variable cross-section stepped column.

关键词

微分方程法/稳定性分析/箱形伸缩臂/弹性约束/二阶效应/阶梯柱/侧向位移

Key words

differential equation method/stability analysis/box telescopic boom/elastically restrained/second or-der effect/stepped column/lateral displacement

分类

机械制造

引用本文复制引用

都亮,陆念力,兰朋..弹性支撑阶梯柱侧向位移与稳定性的精确分析[J].哈尔滨工程大学学报,2014,(8):993-996,4.

基金项目

国家自然科学基金资助项目(11172076). ()

哈尔滨工程大学学报

OA北大核心CSCDCSTPCD

1006-7043

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