Optimization of Force Balancing Mechanisms

摘要

A theory and computer code for design optimization of force-balancing mechanisms is developed. The force-balancing mechanisms treated in this report use linear elastic force elements. A constrained, multi-element formulation is introduced to analyze kinematics of mechanisms. Two joint formulations, revolute and translational, are introduced. The optimal design problem is formulated as a descretized problem. The objective of the optimization problem is to minimize the largest force required to move the mechanism through its path. A gradient projection method is adopted for optimization. Example calculations are presented for a mechanical spring Weapon Equalibrator. A substantial reduction (60%) of the cost function is demonstrated, compared with conventional equalibrator design methods. (Author)