Synthesis of Planar Four-Bar for Generating Path with Prescribed Arc

Article Preview

Abstract:

This paper demonstrates the synthesis of planar four-bar for path generation. The feature is that the path includes an arc segment. The users can prescribe coordinates of arc center, a precision point on the arc, and the corresponding pole. The four-bar is synthesized mainly with the aid of the Bobillier theorem. The tasks that the paths or coupler curves pass through at most two additional precision points are also considered. Several nonlinear equations thus have to be derived and combined to find the coordinates of the pivots in synthesizing the four-bar.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

808-812

Citation:

Online since:

March 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] C. S. Suh and C. W. Radcliffe, Kinematics and Mechanisms Design (1978).

Google Scholar

[2] K. Russell and J. Shen: Planar Four-Bar Motion and Path Generation with Order and Branching Conditions, Journal of Advanced Mechanical Design, Systems, and Manufacturing, Vol. 5, No. 4, pp.264-273 (2011).

DOI: 10.1299/jamdsm.5.264

Google Scholar

[3] J. A. Cabrera, A. Ortiz, F. Nadal, J. J. Castillo, An evolutionary algorithm for path synthesis of mechanisms, Mechanism and Machine Theory, Vol. 46, pp.127-141 (2011).

DOI: 10.1016/j.mechmachtheory.2010.10.003

Google Scholar

[4] W. Y. Lin, A GA-DE hybrid evolutionary algorithm for path synthesis of four-bar linkage, Mechanism and Machine Theory, Vol. 45, p.1096–1107 (2010).

DOI: 10.1016/j.mechmachtheory.2010.03.011

Google Scholar

[5] F. Peñuñuri, R. Peón-Escalante, C. Villanueva, D. Pech-Oy, Synthesis of mechanisms for single and hybrid tasks using differential evolution, Mechanism and Machine Theory, Vol. 46, p.1335–1349 (2011).

DOI: 10.1016/j.mechmachtheory.2011.05.013

Google Scholar

[6] S. B. Matekar, G. R. Gogate, Optimum synthesis of path generating four-bar mechanisms using differential evolution and a modified error function, Mechanism and Machine Theory, Vol. 52, pp.158-179 (2012).

DOI: 10.1016/j.mechmachtheory.2012.01.017

Google Scholar

[7] R. Beyer, The kinematic synthesis of mechanisms, Chapman & Hall (1963).

Google Scholar

[8] C. H. Chiang, Kinematics and design of planar mechanisms, Krieger Pub (2000).

Google Scholar