Kinetostatic Analysis of 4-R(CRR) Parallel Manipulator with Overconstraints via Reciprocal-Screw Theory

Advances in Mechanical Engineering - Tập 2 - 2010
Zhen Huang1, Yan Zhi Zhao1, Jingfang Liu1
1Robotics Research Center, Yanshan University, Qinhuangdao, 066004, China

Tóm tắt

The paper proposes a new approach based on reciprocal screw theory to analyze kinetostatics of lower-mobility parallel mechanisms with overconstraints and static indeterminacy. For force analysis of parallel mechanisms, the main reactions should be solved firstly, and then all other constraint reactions are easy to be obtained. The approach can remarkably reduce the number of unknowns and keep the number of simultaneous equilibrium equations not more than six each time. For static indeterminacy, it also needs to set some complementary equations. All active forces and constraint reactions of the kinematic pairs can be simultaneously obtained by analyzing the equilibrium of everybody one by one. A 4-R(CRR) parallel manipulator with collinear-force static indeterminacy is taken to introduce the method, which indicates that the method is simple and effective.

Từ khóa


Tài liệu tham khảo

Tsai L. W., 1999, Robot Analysis, the Mechanics of Serial and Parallel Manipulators

Merlet J. P., 2006, Parallel Robots, 2

10.1115/1.1370976

10.1016/S0094-114X(02)00011-3

10.1016/S0094-114X(03)00054-5

10.1016/j.mechmachtheory.2004.05.007

10.1115/1.1992511

10.1016/j.mechmachtheory.2004.06.011

10.1016/j.mechmachtheory.2006.05.004

10.1016/j.mechmachtheory.2006.06.011

10.1115/DETC2007-35894

10.1016/j.mechmachtheory.2007.10.009

10.3901/JME.2008.06.169

Beyer R., 1960, Proceedings of the Transactions of the 6th Conference on Mechanisms, 94

10.1115/1.3670801

10.1115/1.2917044

Asada H., 1986, Robot Analysis and Contol

Huang Z., 2003, International Journal of Robotics Research, 22, 59

10.1115/1.3258713

Huang Z., 1997, Mechanism Theory and Control of Parallel Manipulators

10.1007/978-1-84800-147-3_3

Ball R., 1990, A Treatise on the Theory of Screws

Hunt K. H., 1978, Kinematic Geometry of Mechanisms

10.1016/0094-114X(92)90062-M

Timoshenko S. P., 1961, Theory of Elastic Stability, 2

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Advances in Mechanical Engineering

Tập 2

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