Question

Kinematics of Mechanisms CH, 6 OJKShim Homework #3: Cam-follower mechanisms Design A cam is to drive its follower as follows: 0° < 90°: dwell at zero lift 90° 180°: rise 10mm with cycloidal motion 180° 270°: return 10mm with cycloidal motion 2700 360°: dwell at zero lift. 1. Determine the equations and plot, S(ø), the displacement diagram for this motion, and their drivatives, S()=dS(¢)/d¢ S"(dP S(/d, and S"() d S(/d Mechanical Design and CAD Lab., Korea University

Answer 1

Given that data A Cam i to daive iEs folloujer as followS: 9o : dwell af zero Lift O 1Bo: xi^e tOmm with (ucoidal motion 90 Iso ¢£2+o : Teturn lom) oiik Cycloidal Motien a 360 dwel at zero lifFt Motion analy sik Ex pre ss ed by Cyctoid mohon A TTe LSin 2 TT where cam RotaHon angle angle of ascent CRise) or) angle of descent (Retuvn) V dy dy xde de dt dt de dy x X dt de 2 Tre Sin h re 2 d e Cos hw COS

t 2ho dt ) Vmax We Knoio that a du dv de dt dt dv uO do 2TTE Sin huo 2TI 2huTT 94 at amax ahTT at e 2TO in we Know that de X da dt da dE da Jer k dt 1 2TT 211e COS d3y 2TTe COg de3 rerk) e o T h max The corresponding graphs below J

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