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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 ?

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 ?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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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