机器-基础耦合振动功率流传递最优控制  

LQR CONTROL OF POWER FLOW TRANSMISSION FOR A MOTOR-FOUNDATION DYNAMIC COUPLED SYSTEM

作　　者：孙玉国[1] 宋孔杰[2] 

机构地区：[1]上海理工大学光学与电子信息学院,上海200093 [2]山东大学机械工程学院,济南250061

出　　处：《振动与冲击》2007年第1期117-120,共4页Journal of Vibration and Shock

基　　金：中船总公司预研项目(10.6.2.2)

摘　　要：建立了机器-基础耦合振动状态空间方程,对系统的耦合振动特性与模型降阶进行了研究。给出了状态观测器构造的一般方法。从功率流传递的角度,对模态耦合振动线性二次调节器(LQR)控制效果进行了评估。数值计算表明:机器-基础的耦合振动主要表现为机器Z向模态与基础第一阶弯曲模态的耦合振动。以模态速度为LQR控制指标可有效地衰减共振频率处功率流传递、阶跃响应收敛时间较短。In aircraft and submarine engineering,a vibrating motor is usually mounted on a flexible foundation.The dynamic coupled characteristic of the motor-foundation is studied in the state space.The model simplification and modal displacement measurement methods are presented.The power flow transmission from the motor to the foundation is then controlled by a linear quadratic regular(LQR).The numerical calculation results show that the power flow transmission is mostly attributed by the motor rigidbody mode and the first bend mode of the foundation.In the low frequency band,the dynamic behavior of the coupled system could be described by a eight order state equation.The power flow transmission in the resonance bands could be reduced effectively with modal velocity being objective index of LQR.

关 键 词：功率流 主动隔振 线性二次调节器 模态速度 

分 类 号：H113.1[语言文字—汉语]