Modeling and performance analysis of elastostatic stiffness of kinematically redundant parallel mechanisms

被引:1
作者
Wu, Zhen [1 ,2 ]
Chen, Qiaohong [3 ]
Ye, Wei [1 ,4 ]
机构
[1] Zhejiang Sci Tech Univ, Sch Mech Engn, Hangzhou, Peoples R China
[2] Zhejiang Inst Commun, Hangzhou, Peoples R China
[3] Zhejiang Sci Tech Univ, Sch Comp Sci & Technol, Hangzhou, Peoples R China
[4] Zhejiang Sci Tech Univ, Sch Mech Engn, 928 2nd St, Hangzhou 310018, Peoples R China
关键词
Parallel mechanism; kinematically redundant; elastostatic stiffness; stiffness performance; KINETOSTATIC-MODEL; MANIPULATOR; OPTIMIZATION; DESIGN; DYNAMICS;
D O I
10.1177/09544062231167023
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
An analytical elastostatic stiffness modeling approach for kinematically redundant parallel mechanisms (KR-PMs) according to screw theory and the second theorem of Castigliano is proposed. The 2-UPR/PRPU and 2-PUPR/PRPU KR-PMs are used as two examples of KR-PMs to validate the precision of the proposed approach. The relative error is less than 1.55% when the theoretical model is compared to the FEA model. The PM's stiffness performance is assessed using the minimum linear displacement stiffness performance index, which is based on the theoretical model. By integrating Particle Swarm Optimization (PSO) with polynomial fitting technology, an analytical mapping model of the response surface between the optimal actuating distances and the moving platform (MP)'s given position and orientation is established. It is demonstrated that 2-UPR/PRPU and 2-PUPR/PRPU KR-PMs can significantly enhance the stiffness performance when compared to the stiffness performance of 2-UPR/RPU PM.
引用
收藏
页码:123 / 137
页数:15
相关论文
共 40 条
[1]   Kinematic modeling of Exechon parallel kinematic machine [J].
Bi, Z. M. ;
Jin, Y. .
ROBOTICS AND COMPUTER-INTEGRATED MANUFACTURING, 2011, 27 (01) :186-193
[2]  
BOOK WJ, 1984, INT J ROBOT RES, V3, P87, DOI 10.1177/027836498400300305
[3]   Multi-stability of the hexagonal origami hypar based on group theory and symmetry breaking [J].
Chen, Yao ;
Xu, Ruizhi ;
Lu, Chenhao ;
Liu, Ke ;
Feng, Jian ;
Sareh, Pooya .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2023, 247
[4]   Lower-order symmetric mechanism modes and bifurcation behavior of deployable bar structures with cyclic symmetry [J].
Chen, Yao ;
Feng, Jian ;
Sun, Qiuzhi .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2018, 139 :1-14
[5]   Kinematic analysis and path planning of a new kinematically redundant planar parallel manipulator [J].
Ebrahimi, Iman ;
Carretero, Juan A. ;
Boudreau, Roger .
ROBOTICA, 2008, 26 :405-413
[6]   3-PRRR redundant planar parallel manipulator: Inverse displacement, workspace and singularity analyses [J].
Ebrahimi, Iman ;
Carretero, Juan A. ;
Boudreau, Roger .
MECHANISM AND MACHINE THEORY, 2007, 42 (08) :1007-1016
[7]   A family of kinematically redundant planar parallel manipulators [J].
Ebrahimi, Iman ;
Carretero, Juan A. ;
Boudreau, Roger .
JOURNAL OF MECHANICAL DESIGN, 2008, 130 (06) :0623061-0623068
[8]   Multiobjective reliability-based optimization for design of a vehicledoor [J].
Fang, Jianguang ;
Gao, Yunkai ;
Sun, Guangyong ;
Li, Qing .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2013, 67 :13-21
[9]   Design, analysis, and stiffness optimization of a three degree of freedom parallel manipulator [J].
Gao, Zhen ;
Zhang, Dan ;
Hu, Xiaolin ;
Ge, Yunjian .
ROBOTICA, 2010, 28 :349-357
[10]   Redundancy in Parallel Mechanisms: A Review [J].
Gosselin, Clement ;
Schreiber, Louis-Thomas .
APPLIED MECHANICS REVIEWS, 2018, 70 (01)