引用本文: | 刘士明,陆念力,孟丽霞.牵绳非保向力作用下的起重臂稳定性分析[J].哈尔滨工业大学学报,2014,46(3):26.DOI:10.11918/j.issn.0367-6234.2014.03.005 |
| LIU Shiming,LU Nianli,MENG Lixia.Stability analysis of telescopic booms under pull-rope follower force[J].Journal of Harbin Institute of Technology,2014,46(3):26.DOI:10.11918/j.issn.0367-6234.2014.03.005 |
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摘要: |
为准确地分析牵绳非保向力作用下的起重机伸缩臂起升平面外稳定性问题,建立牵绳作用下的多节伸缩臂的挠曲微分方程,引入适当的边界条件,获得多节伸缩臂平面外失稳特征方程的递推表达式,并给出工程起重机常用臂节起升平面外失稳特征方程的显示表达式;讨论牵绳在吊臂方向的投影长度a与吊臂长度l的比值a/l对起重臂失稳临界力的影响. 对典型4节起重机伸缩臂进行稳定性分析,与ANSYS密分单元的计算结果比较表明:推导的失稳特征方程是完全正确的;起重臂的抗失稳能力随着a/l比值的逐渐增大而逐渐减弱,并趋于定值. |
关键词: 起重机 稳定性分析 失稳特征方程 多节伸缩臂 变截面阶梯柱 |
DOI:10.11918/j.issn.0367-6234.2014.03.005 |
分类号: |
基金项目:国家科技支撑计划资助项目 (2008BAJ09B01-03). |
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Stability analysis of telescopic booms under pull-rope follower force |
LIU Shiming, LU Nianli, MENG Lixia
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(School of Mechatronics Engineering, Harbin Institute of Technology, 150001 Harbin, China)
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Abstract: |
To solve the out-of-plane stability problem of the telescopic boom subjected follower forces, the deflection differential equations of the multi-telescopic boom model which under actions of pull-rope are established. With proper boundary conditions, the recurrence formulas of buckling characteristic equations are presented, and the explicit expressions of the boom in some practical applications are given. The influence on destabilizing critical force of telescopic boom due to the ratio of a/l is discussed in detail, where a is the length of wire projected to telescopic boom, and l is the length of telescopic boom. In comparison with the ANSYS method, the results show that the buckling characteristic equations are completely correct. As the ratio of a/l increases, the capacity of anti buckling reduces and tends to be a constant value. |
Key words: Crane Stability analysis Buckling characteristic equation Multi-section telescopic boom Stepped column |