基于等效简化模型的柔性吊装多体系统动力响应分析  

Dynamics of a flexible multi-body hoisting system based on an equivalent simplified model

作　　者：颜世军[1] 彭剑[2] 任中俊[1] 王世鸣[1] YAN Shijun;PENG Jian;REN Zhongjun;WANG Shiming(School of Civil Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control,Hunan University of Science and Technology,Xiangtan 411201,China)

机构地区：[1]湖南科技大学土木工程学院,湖南湘潭411201 [2]湖南科技大学结构抗风与振动控制湖南省重点实验室,湖南湘潭411201

出　　处：《振动与冲击》2020年第18期255-261,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(11402085,51604109);湖南省教育厅项目(19C0752,19B192)。

摘　　要：针对大型吊装多体系统在回转作业时的刚柔耦合动力学行为,开展了简化模型构建和动态响应分析。利用等效弹簧质量阻尼系统描述吊臂臂头弹性振动,利用空间悬吊系统模拟吊物空间摆动;以浮动坐标系对系统各部件开展运动学描述,基于拉格朗日方程,采用递推列式推导并建立了吊装多体系统的等效简化分析模型,并给出相应数值计算方法。针对某大型轮式起重机开展了仿真分析,通过与实测数据对比分析表明,简化模型能较好地评价柔性吊装多体系统的非线性动力学行为;对柔性臂架振动频谱分析表明,在轻载长绳状态下,吊臂振动幅值受吊物偏摆激励和自身惯性激励的共同影响,但在重载短绳状态下,响应幅值主要取决于吊物偏摆激励,且系统刚柔耦合效应明显增强。The rigid-flexible dynamical characteristics of a flexible multi-body hoisting system were investigated during its slewing by using a simplified equivalent mathematical model.The boom head vibration structure was modeled by an equivalent spring mass damper system,while the sway motion of the payload was described as the vibration of a spatial suspending system.Based on the Lagrange equation,a simplified mathematic model was derived by using the recursive formulation with floating frames to describe the motions of bodies.The dynamics of a real large scale truck crane was analyzed with the proposed formulation and computational method.The comparisons between the simulation and test results show that the method is very effective and convenient for truck crane’s slewing simulation.The results of spectrum analysis reveal that with the increase of payload weight and the decrease of rope length,the contribution of the payload sway to the boom vibration increases,however,the influence of the self-excitation caused by inertial force is reduced,besides,under heavy load and short rope conditions,the coupling effect between the boom vibration and payload sway becomes significant.

关 键 词：吊装系统 动力学模型 多体动力学 响应分析 

分 类 号：Q313.7[生物学—遗传学]