电液3-UPS/S并联稳定平台参数振动特性分析  

Parametric vibration characteristics analysis of electrohydraulic 3-UPS/S parallel stable platform

作　　者：袁晓明[1,2] 王维锜 庞浩东 张立杰[1,2] YUAN Xiaoming;WANG Weiqi;PANG Haodong;ZHANG Lijie(Hebei Provincial Key Lab of Heavy Machinery Fluid Power Transmission and Control,Yanshan University,Qinhuangdao 066004,China;MOE Key Lab of Advanced Forging&Stamping Technology and Science,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学河北省重型机械流体动力传输与控制实验室,河北秦皇岛066004 [2]燕山大学先进锻压成形技术与科学教育部重点实验室,河北秦皇岛066004

出　　处：《振动与冲击》2024年第5期52-61,共10页Journal of Vibration and Shock

基　　金：国家重点研发计划(2019YFB2005303);国家自然科学基金面上项目(52175066);河北省自然科学基金面上项目(E2020203090);河北省高等学校科学技术重点项目(ZD2022052)资助项目。

摘　　要：针对电液3-UPS/S并联稳定平台驱动液压缸的压力脉动所产生的参数振动,建立了稳定平台的参数振动方程并利用多尺度法求解了主共振响应与组合共振响应的一次近似解;分析了主共振与组合共振响应特性以及振动幅值在初始工作空间内的变化规律,最后采用四阶龙格库塔法与模态试验对参数振动模型进行验证。结果表明:数值解与理论解之间的最大误差为4.20%,固有频率理论值与试验值之间的最大误差为4.66%,可验证参数振动模型的正确性。Here,aiming at parametric vibration generated by pressure pulsation of driving hydraulic cylinder of electro-hydraulic 3-UPS/S parallel stable platform,parametric vibration equations of the stable platform were established,and first-order approximate solutions to main resonance and combined resonance responses were solved using the multi-scale method.Response characteristics of main resonance and combined resonance as well as variation law of vibration amplitude in initial workspace were analyzed.Finally,the 4-order Runge-Kutta method and modal tests were used to verify the proposed parametric vibration model.The results showed that the maximum error between numerical solution and theoretical solution is 4.20%,the maximum error between theoretical and test values of natural frequency is 4.66%,they can verify the correctness of the proposed parametric vibration model.

关 键 词：电液3-UPS/S并联稳定平台 压力脉动 参数振动 多尺度法 振动特性 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3