Self-locking analysis in closed kinematic chains

被引:20
作者
Leonesio, Marco [1 ]
Bianchi, Giacomo [1 ]
机构
[1] CNR, Inst Ind Technol & Automat, I-20133 Milan, Italy
关键词
Self-locking; Friction; Closed kinematic chains; Kinematic singularity; BODY CONTACT PROBLEMS; COULOMB-FRICTION; SYSTEMS; CONSTRAINTS; DYNAMICS;
D O I
10.1016/j.mechmachtheory.2009.05.005
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Self-locking analysis in closed kinematic chains is sometimes likened to kinematic singularity analysis, especially when mechanisms are characterized by more than one degree of freedom. Although in singular configurations a mechanism is obviously locked-up since joint constraint reactions and friction forces rise to infinity, this approach identifies only a condition sufficient for self-locking, while the phenomenon actually occurs in a larger domain, the size of which depends on the values of friction coefficients. The paper proposes a definition of self-locking for multi degrees of freedom mechanisms and presents an algorithm for computing the geometrical locus that corresponds to a specific self-locking configuration. This methodology is then demonstrated on a simple parallel kinematic mechanism with two degrees of freedom. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2038 / 2052
页数:15
相关论文
共 20 条
[1]   A SURVEY OF MODELS, ANALYSIS TOOLS AND COMPENSATION METHODS FOR THE CONTROL OF MACHINES WITH FRICTION [J].
ARMSTRONGHELOUVRY, B ;
DUPONT, P ;
DEWIT, CC .
AUTOMATICA, 1994, 30 (07) :1083-1138
[2]   SINGULARITY ANALYSIS OF CLOSED-LOOP KINEMATIC CHAINS [J].
GOSSELIN, C ;
ANGELES, J .
IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 1990, 6 (03) :281-290
[3]  
Grigoryan S.S., 2001, DOKL ROSS AKAD NAUK, V379, P54
[4]   Singularities in the dynamics of systems with non-ideal constraints [J].
Ivanov, AP .
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2003, 67 (02) :185-192
[5]   The non-smooth contact dynamics method [J].
Jean, M .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 177 (3-4) :235-257
[6]  
KLEIN F, 1954, PAINLEVE CRITICISM C
[7]  
LEONESIO M, 2007, 12 IFTOMM WORLD C BE
[8]  
LEONESIO M, 2001, 32 INT S ROB ISR2001
[9]   COULOMB-FRICTION IN TWO-DIMENSIONAL RIGID BODY SYSTEMS [J].
LOTSTEDT, P .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1981, 61 (12) :605-615
[10]   MECHANICAL SYSTEMS OF RIGID BODIES SUBJECT TO UNILATERAL CONSTRAINTS [J].
LOTSTEDT, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (02) :281-296