Approximate Velocities in Mixed Exact-Approximate Position Synthesis of Planar Mechanisms

Author:

Holte Jennifer E.1,Chase Thomas R.1,Erdman Arthur G.1

Affiliation:

1. Mechanical Engineering Department, 111 Church Steet S.E., University of Minnesota, Minneapolis, MN 55455

Abstract

Abstract A new approach to the synthesis of planar linkage mechanisms with approximate velocity constraints is proposed. The paper presents the first closed-form complex-number dyad solution to the ground pivot specification problem for two precision positions with velocity specified at one of the positions. The solution is then manipulated in order to add approximate velocity constraints to design methods for two exact positions and an unlimited number of approximate positions. The approximate position and velocity constraints facilitate more realistic representation of design objectives. Solution spaces are presented using two-dimensional ground-pivot maps. Computer implementation of the proposed methodologies would allow designers with little or no knowledge of the synthesis techniques to interactively explore maps of solutions for four-bar motion generation.

Publisher

ASME International

Subject

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

Reference12 articles.

1. Holte, J. E., Chase, T. R., and Erdman, A. G., 2000, “Mixed Exact-Approximate Position Synthesis of Planar Mechanisms,” ASME J. Mech. Des., 122, No. 3, pp. 287–293.

2. Ahn, S., 1993, “Optimization Enhanced Synthesis of Planar Four-Bar Motion Generation Linkages,” University of Minnesota, Ph.D. Thesis.

3. Johnson, L. G., 1995, “Complex-Number Based Multiply Separated Precision Position Synthesis of Planar Linkages,” M. S. Thesis, University of Minnesota.

4. Tesar, D. , 1968, “The Generalized Concept of Four Multiply Separated Positions in Coplanar Motion,” J. Mec., 3, No. 21, pp. 11–23.

5. Tesar, D., and Eschenbach, P. W., 1967, “Four Multiply Separated Positions in Coplanar Motion,” ASME J. Eng. Ind., 89, Series B, No. 2, pp. 231–234.

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