柔性梁与带摆动荷载小车的耦合动力学分析

刘华森; 程文明; 尹皓

doi:10.3969/j.issn.0258-2724.2017.02.025

柔性梁与带摆动荷载小车的耦合动力学分析

doi: 10.3969/j.issn.0258-2724.2017.02.025

基金项目:

国家自然科学基金资助项目(51175442)

四川省应用基础研究计划资助项目(2013JY0136)

详细信息

作者简介:
刘华森(1988-),男,博士研究生,研究方向为结构优化设计、自动化控制技术,E-mail:dylhs63@163.com

通讯作者:
程文明(1963-),男,教授,博士生导师,研究方向为数字物流装备与控制技术,E-mail:wmcheng@swjtu.edu.cn

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出版历程
- 收稿日期: 2015-01-20
- 刊出日期: 2017-04-25

Coupled Dynamics Analysis for a Flexible Beam with a Trolley Subjected to Pendulum Payload

摘要

摘要: 起重机桥架结构的振动以及荷载的摆动会使桥架结构产生疲劳损伤并影响荷载的精确定位。基于荷载、起重小车组成的椭圆摆与移动质量通过桥梁模型，起重机柔性梁与带摆动荷载的移动小车多体刚柔耦合动力学系统，并采用拉格朗日方程推导了耦合系统的运动微分方程组。采用Newmark-逐步积分方法进行数值求解，分析了起重小车的运动速度、荷载质量等参数对桥架结构振动以及荷载摆动的影响。研究结果表明：起重小车的运行速度会影响桥架结构的振型，桥架结构的最大振动幅度与荷载质量成正比；耦合系统桥架结构中点的挠度比采用ANSYS软件计算的静挠度增大4%；荷载的摆动导致起重小车的驱动力与驱动功率周期性地改变，起重小车驱动力以及驱动功率变化的幅度范围正相关于起重小车的加速度值。
- 柔性梁 /
- 摆动荷载 /
- 移动质量 /
- 耦合振动 /
- 残余摆动
Abstract: The vibration of the crane beam and the residual swing of the payload cause fatigue damage of crane and affect the precise positioning of the payload. In this paper, a crane flexible beam with a moving trolley subjected to pendulum payload multibody coupled dynamic system was set up based on an elliptical pendulum constituted by payload with trolley and moving mass passing a bridge model. The differential equations of motions of the coupled system were deduced based on Lagrange equation. The numerical solution was derived by using the Newmark- step-by-step integration method. The effects of the crane speed and the payload mass on the vibration of the beam and the load swing were analyzed. Numerical analysis results indicate that the crane speed affects the vibration mode of the beam overhead crane, and vibration amplitude is proportional to the mass of payload. The bend at the beam midpoint is 4% larger than the results calculated by ANSYS. The swing of payload leads to periodic changes of the driving force and driving power of the overhead crane. The payload acceleration is positively related to the crane driving force and driving power range.
- flexible beam /
- pendulum payload /
- moving mass /
- coupling vibration /
- residual swing

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参考文献(18)

?IM ?EK M, KOCATRK T, AKBA ??D. Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load[J]. Composite Structures, 2012, 94(8):2358-2364.

AMBRUS Z, KOVCS L L, STPN G. Computed torque control of an under-actuated service robot platform modeled by natural coordinates[J]. Communications in Nonlinear Science and Numerical Simulation, 2011, 16(5):2205-2217.

[WB]刘志刚,宋洋,刘煜铖. 电气化高速铁路接触网微风振动特性[J]. 西南交通大学学报,2015,50(1):1-6.[DW]LIU Zhigang, SONG Yang, LIU Yucheng. Aeolian vibration characteristics of electrified high-speed railway catenary[J]. Journal of Southwest Jiaotong University, 2015, 50(1):1-6.

[WB]谢伟平,黄金,周家玲,等. 重物-桥吊耦合系统振动分析[J]. 振动与冲击,2015,34(15):127-132.[DW]XIE Weiping, HUANG Jin, ZHOU Jialing, et al. Vibration ananlysis of a suspension weight-bridge crane coupled system[J]. Journal of Vibration and Shock, 2015, 34(15):127-132.

[WB]刘雷,杨国来. 受移动质量作用的一类变截面梁横向振动分析[J]. 工程力学,2015,32(4):212-219.[DW]LIU Lei, YANG Guolai. Transverse vibration analysis for a type of variable cross-section beam subjected to moving mass[J]. Engineering Mechanics, 2015, 32(4):212-219.

MICHALTSOS G T. Dynamic behaviour of a single-span beam subjected to loads moving with variable speeds[J]. Journal of Sound and Vibration, 2002, 258(2):359-372.

[WB]雷虎军,李小珍. 非一致地震激励下列车-轨道-桥梁耦合振动模型[J]. 西南交通大学学报,2013,48(5):803-809.[DW]LEI Hujun, LI Xiaozhen. Dynamic model for train-track-bridge coupling system subjected to non-uniform seismic excitation[J]. Journal of Southwest Jiaotong University, 2013, 48(5):803-809.

[WB]李克飞,刘维宁,吴宗臻. 变速移动质量作用下轨道动力响应解析解研究[J]. 工程力学,2014,31(7):162-169.[DW]LI Kefei, LIU Weining, WU Zongzhen. Analytical study on the vibration response of the track subjected to the moving mass with variable speeds[J]. Engineering Mechanics, 2014, 31(7):162-169.

[WB]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.[DW]PENG Xian, LIU Zijian, HONG Jiawang. Vibration analysis of a simply supported beam under moving mass with uniformly variable speeds[J]. Engineering Mechanics, 2006, 23(6):25-29.

[WB]李小珍,刘桢杰,辛莉峰,等. 列车荷载作用下矮塔斜拉桥索梁振动的相关性[J]. 西南交通大学学报,2015,50(5):817-822.[DW]LI Xiaozhen, LIU Zhenjie, XIN Lifeng, et al. Cable-Beam vibration correlation of railway low-pylon cable-stayed bridge subjected to train load[J]. Journal of Southwest Jiaotong University, 2015, 50(5):817-822.

[WB]雷虎军,李小珍. 拟静力分量对列车-轨道-桥梁系统地震响应的影响[J]. 西南交通大学学报,2015,50(1):124-130.[DW]LEI Hujun, LI Xiaozhen. Effects of structural quasi-static components on seismic responses of train-track-bridge system[J]. Journal of Southwest Jiaotong University, 2015, 50(1):124-130.

KARIMI A H, ZIAEI-RAD S. Vibration analysis of a beam with moving support subjected to a moving mass travelling with constant and variable speed[J]. Communications in Nonlinear Science and Numerical Simulation, 2015, 29(1/2/3):372-390.

[WB]孔宪仁,杨正贤,叶东,等. 基于输入成形的柔性航天器振动闭环抑制方法研究[J]. 振动与冲击,2010,29(3):72-76.[DW]KONG Xianren, YANG Zhengxian, YE Dong, et al. Feedback control in conjunct ion with input shaping for flexible spacecraft vibration suppression[J]. Journal of Vibration and Shock, 2010, 29(3):72-76.

WU J J, WHITTAKER A R, CARTMELL M P. The use of finite element techniques for calculating the dynamic response of structures to moving loads[J]. Computers Structures, 2000, 78(6):789-799.

[WB]刘华森,程文明,易嘉伟. 欠驱动的倒三角铁路集装箱门式起重机吊具动力学建模与分析[J]. 中国铁道科学,2015,36(2):103-110.[DW]LIU Huasen, CHENG Wenming, YI Jiawei. Dynamics modeling and analysis on under-actuated and inverted triangle-shaped spreader of tail mounted container gantry crane[J]. China Railway Science, 2015, 36(2):103-110.

DAQAQ M F, MASOUD Z N. Nonlinear input-shaping controller for quay-side container cranes[J]. Nonlinear Dynamics, 2006, 45(1/2):149-170.

[WB]程文明,邓斌,王金诺. 小车架为弹性结构时门式起重机的动态特性研究[J]. 西南交通大学学报,2001,36(2):144-148.[DW]CHENG Wenming, DENG Bin, WANG Jinnuo. Dynamic characteristics of gantry cranes with an elastic trolley frame[J]. Journal of Southwest Jiaotong University, 2001, 36(2):144-148.

[WB]秦仙蓉,张立冬,张氢,等. 移动质量-梁耦合系统的动态响应分析[J]. 中国工程机械学报,2014,12(4):283-286.[DW]QIN Xianrong, ZHANG Lidong, ZHANG Qing, et al. Dynamic response analysis on mobbing mass-beam coupling system[J]. Chinese Journal of Construction Engineering, 2014, 12(4):283-286.

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