Analytical and numerical analysis of mobility and kinematic bifurcation of planar linkages

被引：6

作者：

Wang, Yutao ^{[1
]}

Zhang, Qian ^{[1
]}

Zhang, Xiaohui ^{[1
]}

Cai, Jianguo ^{[1
]}

Jiang, Chao ^{[1
]}

Xu, Yixiang ^{[2
]}

Feng, Jian ^{[1
]}

机构：

[1] Southeast Univ, Natl Prestress Engn Res Ctr, Key Lab C & PC Struct, Minist Educ, Nanjing 211189, Peoples R China

[2] Univ Nottingham Ningbo China, Sch Aerosp, Ningbo, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2022年 / 145卷

基金：

中国国家自然科学基金;

关键词：

Mobility; Kinematic bifurcation; Analytical and numerical analysis; Planar linkages; INFINITESIMAL MOBILITY; STABILITY CONDITIONS; MATRIX ANALYSIS; SYSTEMS; EQUILIBRIUM; STIFFNESS;

D O I：

10.1016/j.ijnonlinmec.2022.104110

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Mobility analysis of linkage systems remains a topic of extensive research. Some criteria were proposed to determine whether a system is a moveable mechanism, such as the Maxwell criterion. However, the most frequently used criteria at a given configuration are not sufficient and necessary conditions for a finite mechanism. For the kinematic analysis, many researchers proposed numerical methods rather than using analytical approaches. In this paper, the mobility and kinematic bifurcation of mechanisms can be determined by analytical and numerical analysis of system constraint equations. If the solution of system constraint equations exists and the system constraint equations are continuous, the system is moveable. The kinematic bifurcation and the limit point in the kinematic path of mechanisms are also discussed. Finally, all the motion paths can be obtained by this method considering bifurcation and limit point in the kinematic paths at any

引用

页数：12

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