重物-桥吊耦合系统振动分析

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (15) : 127-132.

论文

重物-桥吊耦合系统振动分析

谢伟平，黄金，周家玲，何卫

作者信息 +

VIBRATION ANALYSIS OF THE SUSPENSION WEIGHT-BRIDGE CRANE COUPLING SYSTEM

XIE Wei-ping HUANG Jin ZHOU Jia-ling HE Wei

Author information +

文章历史 +

摘要

考虑吊重的摆动，将重物-桥吊耦合系统简化为移动质量+吊重在简支梁上运动模型，基于Lagrange方程，推导了移动质量+吊重-简支梁耦合系统运动微分方程。采用Runge-Kutta积分法对微分方程组进行数值求解，分析了移动质量加速度、吊重质量所占比重、吊绳长度等因素对梁体振动响应的影响。数值计算结果表明：对于重物-桥吊耦合系统，若不考虑吊重摆动，采用移动质量过桥模型将会低估梁体振动响应，并且在移动质量与吊重质量之和一定的情况下，吊重质量所占比重越大，梁体的振动响应越大；移动质量加速度对梁体的振动影响不能忽略，尤其是对梁体的加速度响应影响很大。

Abstract

Considering the swing of the suspension weight, the suspension weight-bridge crane coupling system is simplified to a model that the moving mass and the suspension weight moving on a simply supported beam and its motion differential equation is derived based on Lagrange equation. Runge-Kutta integration is used for numerical solution and some influence factors on system response are analyzed, such as the acceleration of the moving mass, the length of the wire and the mass ratio of the suspension weight. The results show without considering the swing of the suspension weight, vibration response of the beam will be underestimated by using the beam subjected to the moving mass model. When the mass sum of the moving mass and the suspension weight is a fixed value, the greater the mass ratio of the suspension weight,the greater the response of the beam that the acceleration of moving mass has great influence on the vibration of the beam.

导出引用

谢伟平，黄金，周家玲，何卫. 重物-桥吊耦合系统振动分析[J]. 振动与冲击, 2015, 34(15): 127-132

XIE Wei-ping HUANG Jin ZHOU Jia-ling HE Wei. VIBRATION ANALYSIS OF THE SUSPENSION WEIGHT-BRIDGE CRANE COUPLING SYSTEM[J]. Journal of Vibration and Shock, 2015, 34(15): 127-132

参考文献

[1] Fryba L. Vibration of solids and structures under moving load[M]. Noordhoff International Publishing, Groningen, The Netherlands, 1995.
[2] Michaltsos G T. Dynamic behavior of a single-span beam subjected to loads moving with variable speeds [J]. Journal of Sound and Vibration, 2002, 258(2): 359-372.
[3] 彭献, 刘子建, 洪家旺. 匀变速移动质量与简支梁耦合系统的振动分析[J]. 工程力学, 2006, 23(6):25-29.
PENG Xian, LIU Zi-jian, HONG Jia-wang. Vibration analysis of a simply supported beam under moving mass with uniformly variable speeds [J]. Engineering Mechanics, 2006,
23(6):25-29.
[4] 王少钦, 夏禾, 郭薇薇等. 变速移动荷载作用下简支梁桥的动力响应及共振分析[J]. 振动与冲击, 2010, 29(2):26-30.
WANG Shao-qin, XIA He, GUO Wei-wei, et, al. Dynamic response and resonance analyses for a simply supported bridge under speeds varying loads [J]. Journal of Vibration
and Shock, 2010, 29(2):26-30.
[5] 陈强, 杨国来，王晓峰等. 变速移动载荷作用下梁的动态响应数值模拟[J]. 南京理工大学学报, 2011, 35(2):204-208.
CHEN Qiang, YANG Guo-lai, WANG Xiao-feng, et, al.Numerical Analysis for Dynamic Response of Beams Subjected to Moving Loads with Non-uniform Motion [J].
Journal of Nanjing University of Science and Technology, 2011, 35(2):204-208.
[6] 王颖泽, 张小兵. 变速多移动质量耦合作用下柔性梁系统振动响应分析[J]. 振动与冲击, 2011, 30(8):56-60.
WANG Ying-ze, ZHANG Xiao-bing. Vibration analysis of Flexible beam under the action of multi-moving masses with variable speeds [J]. Journal of Vibration and Shock, 2011,
30(8):56-60.
[7] 杨予, 滕念管, 黄醒春, 滕延锋. 承受移动均布质量的简支梁振动反应分析[J]. 振动与冲击, 2005, 24(3):19-22.
YANG Yu, TENG Nian-guan, HUANG Xing-chun, et, al. Vibration Analysis of A Simply Supported Beam Traversed By Uniform Distributed Moving Mass [J]. Journal of
Vibration and Shock, 2011, 30(8):56-60.
[8] 盛国刚, 赵冰. 多个移动质量-弹簧-阻尼系统作用下梁的动力特性分析[J]. 振动与冲击, 2003, 22(1):43-46.
SHENG Guo-gang, ZHAO Bing. Dynamic characteristics of elastic beam under a series of moving oscillating loads [J]. Journal of Vibration and Shock, 2003, 22(1):43-46.
[9] 刘宁, 杨国来. 移动质量作用下轴向运动悬臂梁振动特性分析[J]. 振动与冲击, 2012,31(3):102-105.
LIU Ning, YANG Guo-lai. Vibration property analysis of axially moving cantilever beam considering the effect of moving mass [J]. Journal of Vibration and Shock, 2012,
31(3):102-105.
[10] 邹军, 陈志坚. 桥式起重机水平运行及抓斗防摆规律研究[J]. 山东大学学报（自然科学版）, 1998,33(4):393-397.
ZOU Jun, CHEN Zhi-jian. The research about horizontal moving rule of bridge crane and swing rule of grab, 1998, 33(4):393-397.