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T: FR H To B/ GORENT Cestatem De M W FUL ND Wu GS ** NA NA *** FIGURESA Constant acceleration motion curves
Types of follower motions Uniform motion (Rise) Uniform motion (Fall) Uniform motion for a translating follower rising to h for Uniform motion for a translating follower returning from 0 to 8 from h for from 0 to R - 90 20 Parabolic motion (Rise) Parabolic motion (Fall) Parabolic motion for a translating follower rising to h for Parabolic motion for a translating follower returning O from 0 to from h for from 0 to A for OSOS./2 $4-01 for ose sr/2 { 1-261-10 y = y- for R/2 SUSR for B,/2 SO SB 2 62 6.8=2/2 OK Harmonic motion (Rise) Harmonic motion (Fall) Harmonic motion for a translating follower rising to fo Harmonic motion for a translating follower returning o from 0 to from h for from 0 to y = -COS y = »=[1+ - 0 24 U Cycloidal motion (Rise) Cycloidal motion (Fall) Cieloidal motion for a translating follower rising to le for Cycloidal motion for a translating follower returning e from 0 to 8 from ht for from 0 to 8 ly in 1 A 2 +in 1992 21 y 1 1 TA - . y is the follower displacement, is maximuum follower displacement (lit) Note: the value of in the above expressions of should be shifted to match the initial and final positions,
a Problem 1 Consider the follower has the following motion characteristics: • Rise to h= 30 mm with a harmonic motion for e=0° to 120°, • Dwell at h= 30 mm for 0= 120° to 0= 180° • Return (fall) to 0 mm with a parabolic motion for 0= 180 to 0 = 300° • Dwell at h=0 mm for 0= 300 to 0= 360 (a) Fill the following table 0 30 60 90 120 180 210 240 270 300 360 y (mm) 0 0 (b) Sketch roughly the following diagrams (versus cam angle (6) where 0S 0 < 360): o follower displacement diagrams o follower velocity diagram o follower acceleration diagram, (b) If o=10 rad/s (constant), find the velocity and acceleration at 0-60 and 240°