三激振器振动系统的振动同步传动  

Vibratory Synchronization Transmission in the Vibrating System of Three Exciters

作　　者：刘云山 顾大卫[1] 张居乾 张学良 闻邦椿[1] LIU Yunshan;GU Dawei;ZHANG Juqian;ZHANG Xueliang;WEN Bangchun(School of Mechanical Engineering & Automation,Northeastern University Shenyang,110819,China;Department of Mechanical Engineering,Guidaojiaotong Polytechnic Institute Shenyang,110023,China)

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]辽宁轨道交通职业学院机械工程系,沈阳110023

出　　处：《振动．测试与诊断》2019年第2期249-254,439,共7页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(51375080;51675090);中央高校基本科研业务费研究生科研创新资助项目(N150306002;N150304010)

摘　　要：在振动同步理论研究中,存在着一种特殊现象,无直接驱动源的激振器仍能跟随其他有源驱动的激振器进行同步运转,称之为振动同步传动。针对三机驱动水平放置的振动试验台,应用Lagrange能量方程建立动力学模型,根据线性叠加原理得到系统稳定时的响应,利用时间双尺度法获取系统的平均力矩平衡方程,并给出了系统实现振动同步和振动同步传动的同步性判据及同步状态与振动同步传动状态下的稳定性判据。在供电频率50Hz的试验条件下,测得电机2及电机3断电前后系统稳态时的激振器相位差,验证了理论推导的正确性,为振动同步传动理论在多机振动同步机械上的应用提供了依据。The principle that a non-powered motor rotates synchronously as a powered motor is called vibratory synchronization transmission.A dynamics model is set up for a vibrating bedstand of three homodromy exciters,,and then the steady-state response and average torque equilibrium equations of system are derived.Finally,the synchronization criterion,the stability criterion of vibratory synchronization and the vibratory synchronization transmission state are obtained.Meanwhile,the experiments proceed on the condition of 50 Hz power-supply frequency,with the hall sensor measuring system.The image of phase differences is acquired before and after cutting off motor No.2 and No.3.The experimental results verify the effectiveness of the theory and method,which provides the basis for the application of multi-exciters vibratory synchronization machines in vibratory synchronization transmission.

关 键 词：自同步 振动同步传动 无量纲频率俘获力矩 同步性能力指数 同步性 稳定性 

分 类 号：TH113.1[机械工程—机械设计及理论]