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可调球面三自由度并联机构的位置分析与动态仿真
引用本文:张济,林光春,徐礼钜,杨志刚.可调球面三自由度并联机构的位置分析与动态仿真[J].机床与液压,2007,35(6):176-179.
作者姓名:张济  林光春  徐礼钜  杨志刚
作者单位:四川大学制造科学与工程学院,四川成都,610065
摘    要:基于Groebner基法和计算机符号处理技术对可调球面三自由度并联机构的位置进行了符号求解.该法通过对变量排序、建立多项式对的集合、求SP多项式和约简等运算,将非线性方程组化简为等价的三角化方程组,得到了封闭形式的解析解.在此基础上,研究了调节构件几何参数对欧拉角的变化规律,并应用Pro/E软件建立了机构动态仿真模型,进行了运动学和动力学仿真分析.

关 键 词:Groebner基  并联机构  位置分析  动态仿真  球面  三自由度并联机构  位置分析  动态仿真  Parallel  Mechanism  Spherical  Adjustable  Dynamic  Simulation  仿真分析  动力学  运动学  仿真模型  软件  应用  变化规律  欧拉角  几何参数  构件  调节  研究
文章编号:1001-3881(2007)6-176-4
修稿时间:2006-07-10

Positional Analysis and Dynamic Simulation of Adjustable Spherical Three-DOF Parallel Mechanism
ZHANG Ji,LIN Guangchun,XU Liju,YANG Zhigang.Positional Analysis and Dynamic Simulation of Adjustable Spherical Three-DOF Parallel Mechanism[J].Machine Tool & Hydraulics,2007,35(6):176-179.
Authors:ZHANG Ji  LIN Guangchun  XU Liju  YANG Zhigang
Affiliation:College of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065, China
Abstract:Symbolic solutions were acquired concerning the positional analysis issues of adjustable spherical three-DOF parallel mechanism based on Groebner base method and computer symbolic manipulating technique.A set of nonlinear polynomial equations were transformed into a set of equivalent triangularization equations in order to obtain the close formed analytical solution through the following a series of processes:ordering of variables,making up of all pairs of polynomial,seeking SP polynomial,reduction and so on.Then the variety regularity of the Euler's angle was researched when adjusting geometric parameters.Dynamic simulation model of the adjustable spherical three-DOF parallel mechanism was established,and simulation analysis of kinematics and dynamics were made by Pro/E software.
Keywords:Groebner base  Parallel mechanism  Position analysis  Dynamic simulation
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