A recursive formula for the inverse of the inertia matrix of a parallel manipulator

被引:33
作者
Bhattacharya, S [1 ]
Nenchev, DN [1 ]
Uchiyama, M [1 ]
机构
[1] Tohoku Univ, Fac Engn, Dept Aeronaut & Space Engn, Aoba Ku, Sendai, Miyagi 98077, Japan
关键词
D O I
10.1016/S0094-114X(97)00105-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The dynamic equations of a parallel manipulator have a parallel structure. This paper shows that this parallelism gives rise to a recursive formula for the inverse of the inertia matrix of the manipulator. The formula generally requires no numerical methods, which are often used for calculating the inverse of the matrix; therefore, the formula is expected to yield high numerical accuracy. It is also shown that in some special cases, the formula does not involve ally matrix inversion at all. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:957 / 964
页数:8
相关论文
共 24 条
[1]   An on-line parameter estimation scheme for generalized stewart platform type parallel manipulators [J].
Bhattacharya, S ;
Hatwal, H ;
Ghosh, A .
MECHANISM AND MACHINE THEORY, 1997, 32 (01) :79-89
[2]  
DO DEQ, 1986, P ASME DES ENG TECHN
[3]  
FEATHRSTONE R, 1987, ROBOT DYNAMIC ALGORI
[4]   A STEWART PLATFORM-BASED MANIPULATOR - GENERAL-THEORY AND PRACTICAL CONSTRUCTION [J].
FICHTER, EF .
INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH, 1986, 5 (02) :157-182
[5]  
Geng Z., 1992, Robotics and Autonomous Systems, V9, P237, DOI 10.1016/0921-8890(92)90041-V
[6]  
GOSSELIN C, 1993, P IEEE INT C ROB AUT, V1, P883
[7]  
HOFFMAN R, 1979, P 5 WORLD C THEOR MA, P603
[8]  
HUANG Z, 1985, P 4 IFTOMM S LINK CA
[9]   DYNAMICS DECOMPOSITION FOR STEWART PLATFORMS [J].
JI, ZM .
JOURNAL OF MECHANICAL DESIGN, 1994, 116 (01) :67-69
[10]  
KLEINFINGER JF, 1986, 16TH P INT S IND ROB, P401