A hydraulic pump mechanism is modeled as shown in the Figure 2. Consider the motion of the mechanism corresponding to full cycle rotation of the link 2 (0° < 012 < 360°). Spring is unstretched when s34 is maximum. Mass centers of each link is also shown in the figure. a) Perform a position analysis of the mechanism for input joint variable 012 and express position variables 013 and s34 in terms of 012. b) Derive the torque expression (T) which is required to maintain static equilibrium. Use the virtual work method. +y S34 013

Elements Of Electromagnetics
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A hydraulic pump mechanism is modeled as shown in the Figure 2. Consider the motion of the
mechanism corresponding to full cycle rotation of the link 2 (0°< 012 < 360°). Spring is
unstretched when s34 is maximum. Mass centers of each link is also shown in the figure.
a) Perform a position analysis of the mechanism for input joint variable 0,2 and express
position variables 013 and s34 in terms of 0,12.
b) Derive the torque expression (T) which is required to maintain static equilibrium. Use
the virtual work method.
+y
S34
013
O G3
k
e12
Во, Ga
+x
Ao,G2
(4)
TTTM
Figure 2
= 80mm G3C| = b2 = 20mm
|A0A| = a1 = 20mm JA,Bol = a, = 140mm |AG3| = bị
100N/m
m2 = 2kg m3 = 1kg m4 = 1.2kg k
Transcribed Image Text:A hydraulic pump mechanism is modeled as shown in the Figure 2. Consider the motion of the mechanism corresponding to full cycle rotation of the link 2 (0°< 012 < 360°). Spring is unstretched when s34 is maximum. Mass centers of each link is also shown in the figure. a) Perform a position analysis of the mechanism for input joint variable 0,2 and express position variables 013 and s34 in terms of 0,12. b) Derive the torque expression (T) which is required to maintain static equilibrium. Use the virtual work method. +y S34 013 O G3 k e12 Во, Ga +x Ao,G2 (4) TTTM Figure 2 = 80mm G3C| = b2 = 20mm |A0A| = a1 = 20mm JA,Bol = a, = 140mm |AG3| = bị 100N/m m2 = 2kg m3 = 1kg m4 = 1.2kg k
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