Five-Bar Path Generation Synthesis by Continuation Methods

Abstract

This paper demonstrates the synthesis of a geared five-bar path generating mechanism using continuation methods. The gear ratio can be varied resulting in a solution set of geared five-bars passing through seven prescribed path positions. The development differs from past approaches in that convergence of the synthesis equations is not dependent on the choice of initial values and, furthermore, the method can be employed by a designer to select a geared-five-bar path generator with a wide range of possible gear ratios. Two examples demonstrate the method.

Kinematical synthesis of 1-dof mechanisms using finite elements and genetic algorithms

“…This phenomenon has occurred mainly due to two factors: they are applicable to complex mechanisms and can manage any number of constraints, reaching a solution which, although not precise, results in a good compromise of all the optimization targets [6][7][8][9][10]. Another factor influencing this development is the increase in computer efficiency.…”

Optimized five-bar linkages with non-circular gears for exact path generation

“…Zhang et al [14] proposed an algorithm for the optimal synthesis of a symmetric GFBM as a path generating mechanism. Starns and Flugrad [15] used continuation methods to synthesize a GFBM for a path generation task defined by seven precision positions. Nokleby and Podhorodesky [16] proposed a method for the optimal synthesis of GFBM, based on a quasi-Newton optimization routine.…”

Optimum Synthesis of Path Generating Adjustable Mechanisms With Improved Slope Continuity of the Control Parameter

“…As far as exact synthesis is concerned, however, the four-bar mechanism has limitations in terms of the number of precision points or poses that can be satisfied, due to the small number of design parameters it has. Researchers have proposed the use of five-bar mechanisms [1][2][3][4], and of adjustable mechanisms [5][6][7][8][9], to overcome this problem.…”