O Calculake the equvaleut sh/nees ay the two spaings dagreu oy the system niere o the

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O Calculake the equvaleut shf/mees ay the
two spring
Draw free body dagreu dy he systeu
Composed by the pully aud the prele of the
belt in conlaet with the puley (cosidering
only the dynarmicterun)
wute the uteral equatrin oy the little
ascullatons
and O:
Caleulate the nahural tircular frequency
Wn and the damping Jaiter2
Systeum
of the
9 calculate the steady te responte of the
System (maguitude Oo cend phase dolay Q)
Transcribed Image Text:O Calculake the equvaleut shf/mees ay the two spring Draw free body dagreu dy he systeu Composed by the pully aud the prele of the belt in conlaet with the puley (cosidering only the dynarmicterun) wute the uteral equatrin oy the little ascullatons and O: Caleulate the nahural tircular frequency Wn and the damping Jaiter2 Systeum of the 9 calculate the steady te responte of the System (maguitude Oo cend phase dolay Q)
The mechanism shown in figure is laying on a horizontal plane. The pulley 1, having massm and mass moment of
inertia Io, is pivoted in O. A belt is wrapped around the pulley 1 and is connected to the free end C by means of two
parallel springs having stiffness k, and k,.
The other end of the rope is fixed to the frame by means of a damper with damping coefficient b.
A periodical horizontal motion y=Y,sin(nt) is imposed to the free point C, and so the pulley is oscillating about O.
The belt is in adherence condition on the pulley.
k2
Data:
m= 50 kg (mass of pulley 1)
lo=0,25 kg m (moment of inertia of pulley 1),
r= 100 mm (radius of pulley 1)
k, = 800 N/m
k, = 1200 N/m
B= 80 Ns/m
Yo = 4 mm
n= 8,5 rad/s
Transcribed Image Text:The mechanism shown in figure is laying on a horizontal plane. The pulley 1, having massm and mass moment of inertia Io, is pivoted in O. A belt is wrapped around the pulley 1 and is connected to the free end C by means of two parallel springs having stiffness k, and k,. The other end of the rope is fixed to the frame by means of a damper with damping coefficient b. A periodical horizontal motion y=Y,sin(nt) is imposed to the free point C, and so the pulley is oscillating about O. The belt is in adherence condition on the pulley. k2 Data: m= 50 kg (mass of pulley 1) lo=0,25 kg m (moment of inertia of pulley 1), r= 100 mm (radius of pulley 1) k, = 800 N/m k, = 1200 N/m B= 80 Ns/m Yo = 4 mm n= 8,5 rad/s
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