Question

Crank Link r 0.250 m L = 0.750 m 0.250 m Slider h e-45.00 120 ipm Figure 1: Crank-slider mechanism. You have been asked to design a crank-slider similar to that in the previous problem. The slider must have a maximum travel of 1 m to the left the crank center. The link length and crank radius are to be selected. The samee motor and crank position (i.e. h) are used. Answer the following: Plot the slider position as a function of crank angle 643 mm. If smooth operation is required, would you want a short or long link? Justify and explain your reason- ing. for 0°-360° for link lengths of 1,020, 928, 773, and a) b) c) What would happen if you assembled the mechanism with a crank and link of the same length?

Answer 1

나 ะ。。+0 360。 8 Hereconsid the tinks os vectors' 20 appllling ve ct0γ displa renen equali0n along x-axis → , 0 along y -axis squoring Both equation ond addi ng 2.

e (in deg 0 20 0 vs slider postion 1.2389 1.1981 1.1251 1.0319 0.9344 0.8476 0.7819 0.7421 0.7283 0.7390 0.7719 0.8248 0.8948 0.9770 1.0639 1.1449 1.2079 1.2417 1.2387 1.241683423 80 0.8 o0.6 0.4 0.2 100 0.728315469 140 160 180 200 220 240 260 280 300 320 50 100 250 300 e(in deg) に1.02 m 360

0(in deg d (m 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 1.1437 1.1001 1.0236 0.9271 0.8275 0.7406 0.6771 0.6406 0.6303 0.6438 0.6786 0.7325 0.8028 0.8850 0.9719 1.0528 1.1155 1.1483 1.1435 0 vs slider postion 1.4000 1.1483 一0.8000 0.6000 0.4000 0.2000 0.0000 0.6303 50 100 150 200 250 300 350 400 e(in deg) に0.928 m

0(in de 0 0.981457 0.93129 0.846304 0.74123 0.63597 0.549157 0.491258 0.463321 0.461503 0.481565 0.520564 0.576596 0.647648 0.730029 0.816886 0.897719 0.959646 0.990299 0.98124 20 θ vs slider postion 80 100 0.990299151 0.8 0.6 0.4 140 160 180 200 220 240 260 280 300 320 0.461502615 50 100 150 250 θ(in deg) L=0.773 m 360

0(in de 0 0.842409 0.783421 0.686171 0.56737 0.452185 0.365393 0.317445 0.303237 0.313673 0.342543 0.386888 0.445547 0.517503 0.600027 0.686885 0.767569 0.82858 0.856581 0.842141 20 0 vs slider postion 0.9 100 120 140 160 180 200 220 240 260 280 300 320 0.856580984 0.7 0.6 0.5 0.3 0.2 0.313672529 50 100 150 300 350 e(in deg) に0.643 m 360

b) Actording to the optuoded phs g beyon 1 nn taken Sa rrua万 graph is uploool ed sonu posi-tias ort imeginopy mechonism is h Smooth nary

θ(in deg 0 20 0.25 #NUM! #NUM! #NUM! #NUM! #NUM! #NUM! #NUM! #NUM! 0.23743 0.04626 0.042356 0.12314 0.20701 0.293866 0.373166 0.425212 0.422894 #NUM! 0 vs slider postion 80 100 120 140 160 180 200 220 240 260 280 300 320 0422893621 0.3 0.2 0.1 50 100 250 300 0.1 0.2 0.3 e(in deg) L 0.250 m 360