基于空间算子代数理论的传递矩阵法  

A Transfer Matrix Method Based on Spatial Operator Algebra Theory

作　　者：孙宏丽[1] 吴洪涛[1] 周毅钧[1,2] 缪群华[1] 田富洋[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016 [2]安徽理工大学机械工程学院,淮南232001

出　　处：《机械科学与技术》2010年第9期1126-1131,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：国防科工委"十一五"某预研基金项目资助

摘　　要：采用空间算子代数理论,利用模态移位算子和柔体模态坐标将系统特性参数在铰关节空间中进行传递,实现了刚、柔耦合的高效率动力学统一递推建模过程。空间算子代数动力学递推建模过程中,系统运动学的递推是从基座向末端进行的,而广义力的递推是从末端体向基座进行的,运动学递推是动力学递推建模的前提,所以系统运动学特性已隐含在广义力的递推过程中。鉴于此,笔者采用传递矩阵法,通过对原有映射在关节空间内的广义速度和广义力的递推方程进行缩聚,推导出基于空间算子代数表达的链式多体系统的传递矩阵,获得一种求解柔性多体系统固有振动特性的方法,为空间算子代数应用于受控多体系统提供了新思路。The efficient recursive dynamics algorithm of rigid-flexible coupling using spatial operator algebra theory is introduced to realize the uniform dynamics modeling process using finite element method and modal analysis to transfer the characteristics parameters of flexible system to the joint space through transformation operator and modal variables.The generalized force expression contains the system motion information in the recursive process which is in the opposite recursive direction.We derive the chain multibody system transfer matrix using transfer matrix method described by spatial operator algebra to obtain the free vibration characteristics of the system through reducing the generalized modal force and velocity in the joint mapping space.This is a new method for analyze the whole vibration characteristics of the system described by spatial operator algebra,and it provides a new idea for controlled multibody system based on spatial operator algebra.

关 键 词：多体动力学 空间算子代数 递推算法 传递矩阵法 

分 类 号：O327[理学—一般力学与力学基础]