Cylindricity errors evaluation with a hybrid optimization algorithm

Based on the analysis of existent evaluation methods for cylindricity errors, a hybrid evaluation method is provided in this paper The optimum model and the calculation process are introduced in detail. The hybrid global optimization algorithm based on chaos optimization and simplex search. By the use of the properties of ergodicity, stochastic property, and "regularity" of chaos, a chaos optimization algorithm (COA) is proposed The efficiency of COA is much higher than some stochastic algorithms such as simulated anneal algorithm and genetic algorithm (GA) when COA is used to a kind of continuous problems., The chaos optimization algorithm can improve the efficiency of searching in the whole field by gradually shrinking the area of optimization variable. By integrating simplex search the precision of chaos optimization result is evidently improved. From this, the cylindricity error evaluation is discussed. Finally, a control experiment is carried out, and the simulation result shows that the hybrid evaluation method is feasible and satisfactory in the evaluation of form and position errors.