4680

4411

كارشناسي ارشد

طراحي كاربردي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده مكانيك

1387

نه،129،[II]ص.: مصور،جدول،نمودار

ص.ع.به فارسي و انگليسي

عليرضا شهيدي

حسن موسوي

88/7/14

مهدي كشميري، حسن نحوي

مهندسي مكانيك

ID4411

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Topology Optimization of Elliptical Plate for Maximize the Natural Frequency Sayed Ahmad Musavi a musavi@gmail com 1387 12 18 Department of Mechanical Engineering Isfahan University of technology Isfahan 84156 8311 IranDegree M Sc Language FarsiDr Alireza Shahidishahidi@cc iut ac irAbstractPlates are One of the most useful parts and pieces of industrial systems and structures which are under loadso that most important and extended usage of them is producing structures for example airplanes aircrafts sea structures in mechanical and structural engineering One of the important point in designing suchstructures which are under dynamic loads is forbidding resonance So for designing in this parts increasethe natural frequency has been offered In this thesis try to achieve optimum distribution of mass and stiffness for achieving maximum amount fornatural frequency with use optimization science in designing optimum thickness of elliptical plate which inthat s vibration analysis we need to solve an eignvalue problem Because of complicated geometry andboundary conditions for an elliptical plate solution of this problem has some difficulty To achievingoptimum thickness topology for elliptical plate generate mesh and assume that thickness is design variable So that fundamental natural frequency as a objective function will be maximized Two types of constraintsare in this problem 1 some of the masses for all of the elements are constant 2 thickness of everyelements has a constraint on their thickness Solution of this problem has been solved in two steps In first step we solve natural vibration problem forelliptical plate with constant and variable thickness under different boundary conditions In this step we usetwo way for solve the problem Reyleigh Ritz Method and standard finite element In analysis of secondstep results of last step has been optimized and at last with use one of the optimization numerical methods optimum distribution of mass and stiffness for achieving maximum fundamental natural frequency underdifferent boundary conditions In this step for sensitivity analysis calculate sense of natural frequencyaccording to design variables So that optimum topology of elliptical plate with different radius ratio underFree Simple Clamp Clamp Simple Clamp Free and Free Simple boundary conditions To maximize thefundamental natural frequency with accurate to constraints and effect of different arguments to optimumtopology Key WordsOptimization Reyleigh Ritz finite element natural frequency elliptical plate

عليرضا شهيدي

حسن موسوي

مهدي كشميري، حسن نحوي