Minimization of Shaking Force and Shaking Moment in Multiloop Planar Mechanisms

摘要

This paper presents an optimization method to dynamically balance the complex multiloop planar mechanisms. The shaking force and shaking moment transmitted to the ground are balanced through optimization to improve the mechanism's dynamic performance. The pareto optimal conditions are proposed considering the shaking force and shaking moment as two objective functions. First, the force balancing of the mechanism is obtained numerically. The shaking moment was found increased for a force balanced mechanism. To reduce both the shaking force and shaking moment, a multi-objective optimization problem is formulated and solved using conventional and genetic algorithm (GA) techniques. The genetic algorithm produces several optimum solutions (pareto optimal points) and the best solution can be chosen from this set of optimum solutions. The optimization method presented in this paper is general and can be applied to any mechanism whereas the analytical solutions already available are for the specific mechanisms. The effectiveness of the proposed method is shown considering a Stephenson six-bar mechanism.