Research On Reverse Optimization Of Globoidal Cam Characteristic Curve

Spatial indexing cam mechanism has a compact structure， reliableperformance，and many other advantages．It has been widely applied inautomated machinery，such as automatic tool changing systems，packagingmachinery，automatic production line，automatic switching system．A varietyof drive and control unit with the core components of arc cam has beendeveloped currently．Arc cam indexing mechanism is to achieve high-speed，high-precision gear new batch indexing movement，widely used and researchedby the growing number of domestic and foreign scholars，and has made asignificant achievement．Currently its theoretical research has matured．However，due indexing cam profile surface is non-expandable helicalsurface space， which brings much inconvenience to the design andmanufacturing of globoidal cam．When confronting arc cam damage and notknow the original design parameters，only by measuring the limited data can weobtain the solution to the original arc cam profile．In the original parametricdesign method，arc convex contour surface is determined by the movement ofthe follower，if we can get the movement of the follower，then we will be able todetermine the arc cam profile curve in reverse．So to solve the arc cam profile(line) problem can be transformed into obtaining laws of follower’s motion，which can meet the requirements．Therefore，this article will focus on theoptimization of the characteristic curve of arc cam，by exploring the geneticalgorithm to optimize arc cam reverse characteristic curve,we can come to theconclusion that the way by applying genetic algorithm to optimize the design ofthe characteristic curve of arc cam is feasible，and can achieve more satisfactoryresults．The main content of this paper can be formulated as follows:（1）Described the structure and the related theory of globoidal indexingcam，cited the common movement of the cam curve，highlighted the universalharmonic motion trapezoid rule．And arc movement of the cam curve selection principles were described．From traditional design methods deduced theories arccam profile equation using the coordinate transformation method．（2）Introduced several commonly used methods of curve interpolationand curve fitting，and illustrated their respective characteristics and advantagesand disadvantages with specific examples．（3）Applied genetic algorithm to the study of reverse optimal design ofthe globoidal cam characteristic curve．Introduced the characteristics and thespecific operational procedures of genetic algorithm in details，using the penaltyfunction to deal with constraint conditions．Demonstrated the feasibility of usingreal-coded genetic algorithm to optimize the arc cam characteristic curve withspecific examples．Compared the results of different optimization goal, and theresults were evaluated，pointed out that the use of genetic algorithm for this isfeasible，and had its unique advantages．The main work of the thesis was launched in Matlab，through compilingthe M-file，the optimal solutions to arc cam characteristics curve based ongenetic algorithms was given，indicated the feasibility and benefits of itsapplication. It laid a foundation for the follow-up study．...