A schematic diagram of a dynamic vibration absorber is shown: F m1 k2 m2 X2 The disturbing vibration is a sinusoidal force acting on mass m1, and the dynamic absorber consists of the mass m2 and the spring k2. The transfer function from disturbance force to height x1 of mass m1 is X1(s) %3D F(s) m2s+k2 mim2st+m2c1 3+(m,k2+m2(k1+k2))s²+k2c18+kj k2 How should the mass m2 and the stiffness k, be chosen to eliminate a sinusoidal oscillation with frequency wo ?

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vibrations
A schematic diagram of a dynamic vibration absorber is shown:
m1
m2
The disturbing vibration is a sinusoidal force acting on mass m1, and the dynamic absorber consists
of the mass m2 and the spring k2. The transfer function from disturbance force to height x1 of mass
m1 is
X1(s)
F(s)
m2s²+k2
mim2st+m2c1s3+(m1k2+m2(k1+k2))s² +k2c18+k, k2
How should the mass m2 and the stiffness k, be chosen to eliminate a sinusoidal oscillation with
frequency wo ?
O k2 /m2 = w
O vk2/(m1 + m2) = wo
O X1 (iwo)
F(iwo)
+ 00
O V(kı + k2)/m2 = wo
MAR
13
etv A A
MacBook Pro
000
DII
DD
F4
F5
F6
F7
F8
F9
F10
Transcribed Image Text:A schematic diagram of a dynamic vibration absorber is shown: m1 m2 The disturbing vibration is a sinusoidal force acting on mass m1, and the dynamic absorber consists of the mass m2 and the spring k2. The transfer function from disturbance force to height x1 of mass m1 is X1(s) F(s) m2s²+k2 mim2st+m2c1s3+(m1k2+m2(k1+k2))s² +k2c18+k, k2 How should the mass m2 and the stiffness k, be chosen to eliminate a sinusoidal oscillation with frequency wo ? O k2 /m2 = w O vk2/(m1 + m2) = wo O X1 (iwo) F(iwo) + 00 O V(kı + k2)/m2 = wo MAR 13 etv A A MacBook Pro 000 DII DD F4 F5 F6 F7 F8 F9 F10
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