Rigid-Body Guidance Synthesis of Four-Bar Linkages with Use of the Relative Displacement Differences of Monad Vectors

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This paper innovatively use the relative displacement differences of monad vectors to model equations for synthesizing linkages. Two types of monads are analyzed and the dyads are also presented. Several synthesis examples are illustrated to validate the effective applications of the monads to modeling and solving rigid body guidance synthesis problems. Because the monads have better modularity than the dyads used before, could be directly applied to formulating the synthesizing equations for multi-bar linkages, and then the equations could be directly solved by some corresponding numerical methods, the method is particularly suitable to automatically model and solve the synthesizing problems with computer.

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437-443

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June 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] C. H. Suh, C. W Radcliffe, Synthesis of plane linkages with use of the displacement matrix, ASME Journal of Engineering for Industry, 89B(1967), pp.206-214.

DOI: 10.1115/1.3610029

Google Scholar

[2] Tong Yang, Jianyou Han, Lairong Yin, A unified synthesis method based on solution regions for four finitely separated and mixed "Point-Order" positions, Mechanism and Machine Theory, Val. 46(11)(2011), pp.1719-1731.

DOI: 10.1016/j.mechmachtheory.2011.06.008

Google Scholar

[3] A. G. Erdman: Three and four precision point kinematic synthesis of plane linkages. Mech. Mach. Theory, Vol. 16(3)(1979), pp.227-245.

DOI: 10.1016/0094-114x(81)90038-0

Google Scholar

[4] Marco Ceccarelli, Teun Koetsier. Burmester and Allievi: A Theory and Its Application for Mechanism Design at the End of the 19th Century. In: Proceedings of International Design Engineering Technical Conference & Computers and Information in Engineering Conference (IDECT/CIE 2006), Philadelphia, Pennsylvania, USA(2006), pp.1-10

DOI: 10.1115/detc2006-99165

Google Scholar

[5] C. W. Wampler, A. P. Morgan, A. J. Sommese, Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics. Journal of Mechanical Design, Vol. 112(1)(1990), pp.59-68

DOI: 10.1115/1.2912579

Google Scholar

[6] Yixiong Feng, Jin Cheng, Jianrong Tan, New approach for mechanism synthesis based on the chaotic property of Newton iteration, Journal of Zhejiang University(Engineering Science), Vol. 42(3)(2008), pp.369-372.

Google Scholar

[7] Bo Dong, Bo Yu, Homotopy method for solving mixed trigonometric polynomial systems, Journal of Information and Computational Science, Vol. 4(2)(2007), pp.505-513.

Google Scholar