基于粒子群算法的曲柄摇块机构轨迹综合

Path Synthesis of Crank Swing Block Mechanism Based on Particle Swarm Optimization

曲柄摇块机构连杆上任意点的轨迹为高次封闭曲线,适用于对轨迹有严格要求的场合。本文对曲柄摇块机构进行了分析,将经过有限点的轨迹综合问题转化为最优化问题进行处理,并引入粒子群算法进行了求解。程序运行结果表明,粒子群算法能够获得多组优化求解结果,且适应值保持在0.1甚至0.01以下。通过对求解结果的优选,可得到不同拓扑构成的布置方案,从而实现机械设计的多样化。

The trajectory of any link point on oscillating slider mechanism is a kind of high-order closed curve, which is suitable for occasions with strict requirement on trajectory. In the paper, the mechanism analysis is conducted first, then the finite-point path synthesis problem is transformed into an optimization problem, and finally Particle Swarm Optimization （ PSO ） algorithm is adopted to solve the problem. Experiments show that particle swarm optimization algorithm can obtain different optimized solutions, with each adaptive value remaning below 0.1, some even below 0.01, which fulfills the practical usage. By optimized selection of solutions, different layout schemes of topologies can be obtained, which promotes the diversification of mechanical design.