Page - 96 - in 3D Printing of Metals

Metals 2016,6, 280 3.2.2. RectangularFramewithBendingMoment Thecuboidappliedbendingmomentwasanalyzedinthissection.Accordingto thefollowing conditions, theoptimaldesignof the frameworkwascarriedout. (1) Objective function:minimumstructuremass (2) Condition: cuboidbearingbending load (3) Boundaryconditions: the left surface isfixedandtherightsurface isappliedto thesurface force (4) Designspace: brownregion ingraph (5) Minimumthickness: 0.006m (6) Designconstraints:meetingthestrengthrequirementswithminimummass Accordingto the topologyoptimizationconditionsabove, theoriginalpartmodelwasdefinedas showninFigure13a. The topologyoptimizationmethodwasused toget the frameworkshownin Figure13b. Thefinalstructureafteroptimizationcanbeseen inFigure13c. Thethicknessof frameη wastakenasadesignparameter togetpartswithdifferentperformances. Figure13.Theoriginal cuboidmodel (a), rectangular frameobtainedbytopologyoptimization (b), thefinal rectangular frameafteroptimization(c). 3.2.3. RingFramewithTorque Thebidirectional torsionalmomentwasapplied to the ring. Theoptimal conditionswere set as follows. (1) Objective function:minimumstructuremass (2) Condition: innerracebearingtorsion load (3) Boundaryconditions: theouter ring isfixedandthe innerrace isappliedto torque (4) Designspace: brownregion ingraph (5) Minimumthickness: 0.006m (6) Designconstraints:meetingthestrengthrequirementswithminimummass Thetraditionalpartmodel isshowninFigure14a. Thepreliminaryframeworkcanbeobtainedby the topologyoptimizationmethodasshowninFigure14b. Thefinalpart structureafteroptimization canbeseen inFigure14c. Figure14.Theoriginal ringmodel (a), ring frameobtainedbytopologyoptimization (b), thefinal ring frameafteroptimization(c). 96