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Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

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considering thee spring force greater than inertiaforce corresponding to maximum deceleration, inorder to avoid the jump phenomenon.The parameter ξ is determined with the relation:ξ= (15-s)/b.The diagramm <strong>of</strong> friction forces versus cam angleis illustrated in Figure 9.In Figure 100 is inserted the diagram <strong>of</strong> the inputtorque with andd without friction.6.CONCLUSIONFigure 8. Constructed cam mechanism.Figure 9. Friction forces <strong>of</strong> cam mechanism withtranslatingflat-face followerFigure 10. Input torque with and without friction.In the designed and constructed mechanism(Figure 8) the data used in dynamic analysis are:μ=0.78, μ 0 =0.15, m=1 kg, k=3004 N/m, s 0 =13 mm,d= 50 mm and b=50 mm.1000k mThe damping coefficient is c 2ζ1000with ζ=0.1. The spring constant k is chosen274In this paper the optimization <strong>of</strong> f the designparameters <strong>of</strong> a cam mechanism with a flat-facedfollower is approached. For this taskthe multi-objective optimization with genetic algorithm isapplied using the high levell programming language<strong>of</strong> MATLAB. The T optimization satisfies constraintsswhich are made in order to operate a cammechanism properly. This procedure is automatic,gives results fast and it appears to be reliable. r Thefinal results provide usefull informationn for a cammechanism synthesis and can be used as a basis <strong>of</strong>final preference dependingg on the objectives thatthave to be succeeded.Subsequently,after the cam mechanismmsynthesis, the applied a friction forces arecalculated.Themost important conclusion is the fact that thefriction forces are a analogous with the action <strong>of</strong> thefollower movement. This means that inthe areas <strong>of</strong>dwell the friction forces aresteady, whereas in theareas <strong>of</strong> rise or return the friction forces alter in analmost similar way. wREFERENCES[1][2][3][4][5][6]Chen Y. F., Mechanics and Design <strong>of</strong> CamMechanisms,Pergamon Press, USA, 1982.Norton R. ., Cam design and manufacturinghandbook, Industrial I Press, Inc., New York, 2002Bouzakis K. K D., Mitsi S., Tsiafis I., Computeraided optimum design and NC milling <strong>of</strong> planarcam mechanisms, International Journal <strong>of</strong> MachineTools and Manufacture, ,Vol. 37, No 8, pp 1131-1142, 1997. .Mitsi, S., Bouzakis, B K. -D., Tsiafis, J., Mansour,G.,Optimal synthesis <strong>of</strong> cam mechanism usingcubic spline interpolation for cam NC milling.Journal <strong>of</strong> the Balkan Tribological Association,Vol. 7, No 4, 4 2001, pp. 225-233.Tsiafis, I., Paraskevopoulou, R., Bouzakis, K.-D.,Selectionn <strong>of</strong> optimal design parameters for acam mechanism usingg multi-objective geneticalgorithm, Annals <strong>of</strong> the “Constantin Brancusi”University <strong>of</strong> TarguJiu, Engineering series, nr. 2,Romania, 2009, pp. 57- 66.Coley D., An A introductionon to genetic algorithms forscientists and engineers, World Scientific Press, 1999.13 th International Conference C onn Tribology – Serbiatrib’13

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