计及支座柔性的双拉杆起重臂平面外稳定性

王腾飞 兰朋 陆念力

doi:10.3969/j.issn.1000-565X.2015.06.011

华南理工大学学报(自然科学版) >

2015 , Vol. 43 >Issue 6: 71 - 76

DOI: https://doi.org/10.3969/j.issn.1000-565X.2015.06.011

机械工程

计及支座柔性的双拉杆起重臂平面外稳定性

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哈尔滨工业大学机电学院，黑龙江哈尔滨 150001

王腾飞(1990-)，男，博士生，主要从事结构稳定与非线性研究．

收稿日期: 2014-10-08

修回日期: 2015-03-13

网络出版日期: 2015-05-04

基金资助

国家“十二五”科技支撑计划项目(2011BAJ02B01-02)

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Out-of-Plane Stability of Crane Jib with Double Ｒods Considering Flexibility of Fixed Joint

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School of Mechatronics Engineering，Harbin Institute of Technology，Harbin 150001，Heilongjiang，China

王腾飞(1990-)，男，博士生，主要从事结构稳定与非线性研究．

Received date: 2014-10-08

Revised date: 2015-03-13

Online published: 2015-05-04

Supported by

Supported by the National Key Technology Research and Development Program of the Ministry of Science and Techology of China during the“12th Five-Year Plan”(2011BAJ02B01-02)

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摘要

针对双拉杆起重臂的平面外稳定性分析问题，提出了一种解析方法．该方法考虑拉杆固支点侧向柔性对臂架稳定性的影响，引入无量纲侧向刚度系数表征固支点对臂架牵索的侧向约束，由临界状态臂架变形微分方程导出臂架平面外失稳特征方程及其临界力，解析结果与 ANSYS 数值结果完全吻合．文中还进一步探讨了在固支点侧向刚度两种极限情况下以及双拉杆起重臂向单拉杆退化时失稳特征方程的表达形式，分析了固支点侧向刚度对臂架稳定性的影响．结果表明，适度增大吊臂固支点侧向刚度可显著提高起重臂的稳定承载能力，但刚度增大到一定程度时，固支点侧向刚度对臂架稳定性的影响趋于平稳．

关键词： 双拉杆起重臂; 平面外稳定性; 微分方程法; 固支点; 侧向柔性

本文引用格式

王腾飞兰朋陆念力 . 计及支座柔性的双拉杆起重臂平面外稳定性[J]. 华南理工大学学报(自然科学版), 2015 , 43(6) : 71 -76 . DOI: 10.3969/j.issn.1000-565X.2015.06.011

Abstract

Proposed in this paper is an analytical method for the out-of-plane stability analysis of crane jib with double rods． In this method，the effect of lateral flexibility of the fixed joint on the jib stability is considered，and a dimensionless lateral stiffness coefficient is introduced to measure the lateral constraint． Then，by establishing the deformation differential equation in the critical state，the characteristic equations of out-of-plane instability and the corresponding critical force are deduced． It is found that the analytical results are completely consistent with the ANSYS simulation results． Moreover，the expressions of the characteristic equations，respectively in two limited lateral stiffness conditions of the fixed joint and in the degradation case of the jib to single rod，are discussed，and the influence of lateral stiffness of the fixed joint on the stability of the jib is analyzed． The results show that a suitable increment of the lateral stiffness may significantly improve the stability of the jib until the lateral stiffness reaches a certain value．

Key words： double-rod crane jib; out-of-plane stability; differential equation method; fixed joint; lateral flexibility

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