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Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

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An important issue in genetic algorithms is thetreatment <strong>of</strong> constraints. For each solution <strong>of</strong> f thepopulation, the objectivefitnessvalues arecalculated. Furthermore, every solution is checkedfor constraints violation.4. NUMERICAL APPLICATIONThe introduced methodology is applied to findthe design parameters <strong>of</strong> a cam mechanism withtranslating flat-face follower where the follower<strong>of</strong>fset is set equal to zero (e=0).Figure 2 shows the kinematic equirements pertransient region <strong>of</strong> the indicated in this figurefollower displacement diagram.The functional requirements and the t materialproperties usedd in this investigation areinserted inFigure 3.The parameters involved in all tests, mainly in GAprocedure, are the same and selected as optimumsthroughmanyyapplied tests: population<strong>of</strong>individuals=20,cross probability=80%, elite count=2andthe maximum number <strong>of</strong>f generations is 100.Consideringgkinematicrequirementsthedisplacement,velocity and acceleration <strong>of</strong> thefollower are determined (Figure 4).Figure 2. Kinematic requirements.Figure3. Materials properties andfunctionalrequirements.Figure 4. The follower motion diagrams.In general the weighting factors α, β and γ <strong>of</strong> thefitness functionn (1) are selected considering theimportance <strong>of</strong> the objectives that must beachieved bythe mechanism. A high value <strong>of</strong> the weighting factorα increases the importance <strong>of</strong>f first part <strong>of</strong> the objectiveefunction (F 1 ) that is to obtainn a small camsize. Afterseveral tests the followingg weighting factors arechosen: α=0.1, , β=0.1 and γ=0.8. Running theMATLAB codes with above mentionedparameters,the following design parameters are obtained:R b =32.67 mm and L=53.21 mm. Forr constructed27213 th International Conference C onn Tribology – Serbiatrib’13

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