A Measurement Method of Roundness Error Based on Improved Frog Leaping Algorithm

To overcome the shortcomings of easily to fall into local optimal and affect the accuracy of measurement for the traditional method of roundness error evaluation,a measurement method of roundness error based on improved frog leaping algorithm is brought forward in this paper.Firstly,the basic principle of roundness error evaluation as minimum zone circle method,least squares mean circle method,maximum inscribed circle method and minimum circumscribed circle method are introduced,and the mathematical model of nonlinear optimization is established respectively.Secondly,an improved leapfrog algorithm comebied with neighborhood search operation is enunciated after the basic idea of frog leaping algorithm is introduced.Besides,the concrete steps of measurement of roundness error using this algorithm are given.Finally,the simulation experiment is performed to prove the validity of the new algorithm.The simulation results have shown that the new optimization method can evaluate roundness error effectively and correctly,which provides a new method and means for roundness error evaluation research.