偏心效应下大范围转动弹性梁振动特性分析  

Analysis on dynamic characteristics of elastic beam in large-scale rotation with eccentricity effect

作　　者：赵磊[1,2,3] 闫照方 赵新华[1,2,3] 刘培昌 ZHAO Lei;YAN Zhaofang;ZHAO Xinhua;LIU Peichang(School of Mechanic Engineering,Tianjin University of Technology,Tianjin 300384;Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control,Tianjin 300384;National Demonstration Center for Experimental Mechanical and Electrical Engineering Education,Tianjin University of Technology,Tianjin 300384)

机构地区：[1]天津理工大学机械工程学院,天津300384 [2]天津市先进机电系统设计与智能控制重点实验室,天津300384 [3]天津理工大学机电工程国家级实验教学示范中心,天津300384

出　　处：《机械设计》2024年第1期78-85,共8页Journal of Machine Design

基　　金：国家自然科学基金面上项目(51975412)。

摘　　要：计及转子偏心效应,借助转子动力学理论,应用Galerkin法和Hamilton原理建立电机-弹性梁系统动力学模型;采用Runge-Kutta法实现动力学解耦,解析不同速度下大范围转动弹性梁的动力学特性,对比分析电机转子动偏心、静偏心与转动梁振动特性的耦合关系。研究结果表明:转子动偏心与系统动力学响应呈现强耦合,动偏心距达到0.5 mm时,转动梁振幅高达2 mm;而静偏心距由0 mm增至0.5 mm时,其振幅均为0.178 mm,后续研究可忽略静偏心因素;随着角速度提高至150 rad/s时,在转子动偏心的作用下,弹性梁振动由周期振动变为非周期振动,也是该类机构高速下呈现不同程度的突发性或间歇性振动的主要原因之一。In this article,with the rotor eccentricity effect taken into account,efforts are made to applied the rotor dynamics theory,the Galerkin method and the Hamilton principle to set up the dynamic model of the motor-elastic beam system.The Runge-Kutta method is used to realize dynamic decoupling,explore the dynamic characteristics of the elastic beam in large-scale rotation at different speeds,as well as compare and analyze the coupling relationship between the motor rotor’s dynamic eccentricity and static eccentricity on one hand and the rotating beam’s vibration characteristics on the other hand.The results show that the rotor’s dynamic eccentricity and the system’s dynamic response are strongly coupled.When the dynamic eccentricity reaches 0.5 mm,the rotating beam’s amplitude is as high as 2 mm.When the static eccentricity increases from 0mm to 0.5 mm,the amplitude remains at 0.178 mm,and the static eccentricity factor can be ignored in the subsequent studies.When the rotating speed increases to 150 rad/s,the vibration of the elastic beam changes from periodic vibration to non-periodic vibration,under the influence of the rotor’s dynamic eccentricity.It is also one of the main reasons why such mechanisms exhibit varying degrees of sudden or intermittent vibration at high speeds.

关 键 词：大范围转动 弹性梁 动偏心 静偏心 动静混合偏心 

分 类 号：TH113[机械工程—机械设计及理论] O326[理学—一般力学与力学基础]