A New Approach to Shape Optimization for Closed Path Synthesis of Planar Mechanisms

Author:

Smaili Ahmad1,Diab Nadim1

Affiliation:

1. Department of Mechanical and Mechatronics Engineering, Hariri Canadian University, P. O. Box 10 Damour, Chouf 2010, Lebanon

Abstract

A method for the synthesis of four-bar mechanisms to generate closed paths through shape optimization is herein introduced. The objective function is not based on Fourier descriptors, but rather on the cyclic angular deviation (CAD) vector associated with a set of desired points on the curve. A simple method is introduced to account for the starting point shift between the desired CAD and the generated one. Following shape optimization, a simple mathematical approach is devised to properly scale, rotate, and translate the mechanism to the desired configuration. Two case studies are presented to demonstrate the effectiveness and robustness of the proposed method.

Publisher

ASME International

Subject

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

Reference36 articles.

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2. Optimization Technology as Applied to Mechanism Design;Fox;ASME J. Eng. Ind.

3. Bagci, C., and In-Ping, J. L., 1975, “Optimum Synthesis of Plane Mechanism for the Generation of Paths and Rigid-Body Positions via the Linear Superposition Technique,” ASME J. Eng. Ind.0022-0817, pp. 340–346.

4. Optimum Synthesis of Planar Function Generators by the Linear Partition of the Dyadic Loop Equations;Bagci;Mech. Mach. Theory

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