Solving the Kinematics of Planar Mechanisms-Reference-Cited by-同舟云学术

Solving the Kinematics of Planar Mechanisms

Published:1999-09-01 Issue:3 Volume:121 Page:387-391
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Wampler C. W.¹

Affiliation:

1. Enterprise Systems Laboratory, General Motors Research and Development, 30500 Mound Road, Warren, Michigan 48090-9055

Abstract

This paper presents a general method for the analysis of planar mechanisms consisting of rigid links connected by rotational and/or translational joints. After describing the links as vectors in the complex plane, a simple recipe is outlined for formulating a set of polynomial equations which determine the locations of the links when the mechanism is assembled. It is then shown how to reduce this system of equations to a generalized eigenvalue problem, or in some cases, a single resultant polynomial. Both input/output problems and tracing-curve equations are treated.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/121/3/387/5920773/387_1.pdf

Reference19 articles.

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2. Cayley A. , 1876, “On Three-bar Motion,” Proc. London Math. Soc., Vol. VII, pp. 136–166.

3. Darboux, G., 1879, “De l’emploi des fonctions elliptiques dans la the´orie du quadrilate`re plan,” Bull. des Sciences, math. et astronom. 2e serie T. III, pp. 109–128.

4. Dhingra, A. K., Almadi, A. N., and Kohli, D., 1998, “A Framework for Closed-form Displacement Analysis of 10-link 1-dof Mechanisms,” Proc. ASME Des. Eng. Tech. Conf., Sept. 13–16, Atlanta, GA, paper DETC98/MECH-5885.

5. Groenman, J. T., 1950, “Behandeling van de koppelkromme met behulp van isotrope coo¨rdinaten,” Ph.D. Thesis, Technische Hogeschool te Delft.

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