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Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

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mechanism these parameters are finally set: R b b=35mm and L=50 mm.The campr<strong>of</strong>ile is shown in Figure 5. The 3Dmodel <strong>of</strong> the designed cam mechanism is illustratedin Figure 6.Figure 5. Cam pr<strong>of</strong>ile.Figure6: 3D model <strong>of</strong> the cam mechanism.5. FORCEANALYSISS OF CAM MECHANISSMCONSIDERING FRICTION FORCESIn this section the dynamic forceanalysis <strong>of</strong>f thedesigned mechanism considering the friction forcebetween follower and its guide and the frictionforce between cam and flat face followerr isinvestigated.The force transmission <strong>of</strong> a radial cam with areciprocating flat-faced follower is shown in figure7, where P is the external load on the follower, μ isthe coefficient <strong>of</strong> friction between the follower stemand its guide, μ o the coefficient <strong>of</strong> friction f betweenthe cam andthe flat facefollower and d is the guidediameter.13 th International Conference on Tribology – Serbiatrib’13Figure 7: Forcee transmissionn <strong>of</strong> cam mechanism withtranslating flat-face follower.From the equilibrium e equations <strong>of</strong> horizontalandvertical forces and moments about the point Adandassuming that t difference the between μ N12dandμ N2is negligible, the forces Fc, N 1 and N 22are determined [1]:withandΝ2N1FCbPΓ aμ0ξb PΓ 0 a μ b 1 ξ PΓΓ b2aμ μμ0b12ξP ms cskwhere m is thee follower mass, s, s an nd s are thedisplacement,velocity and acceleration <strong>of</strong> thefollower respectively, c is the dampingcoefficient,k isthe spring constant, c s 0 is the initial compression<strong>of</strong> the spring and F b is the follower weight.Furthermore, the friction forces arewritten as:Qμ F(11)0 Q 1Q 2μ μNμ μNandthe cam shaft torque due to the frictionis given by:d dTf Q 0 Rb s Q1 Q2(14)2 20ss F012b(8)(9)(10)(12)(13)273

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