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VIbration subject. State 4 methods that can be used to control vibration.

VIbration subject. State 4 methods that can be used to control vibration.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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VIbration subject.

State 4 methods that can be used to control vibration.

6 Principles of Vibration Attenuation Am Vibrations Notes # 2 Luqmaan Sulaiman O Separation Y=F cos (w+Aw)t T=X/Y r*1 > T< Tmax => + X Resonance region Tmax Ampz Separate the excitation frequency and natural frequency to avoid the resonance region. mm Ak 1- r= w/Wn 1 12 2 Dissipation T=X/Y 15 > T< Tmax → I X Y = F cos wt Low damping High damping X Tmax Dissipate vibration energy away from the system by increasing the damping property. 1- →r =w/Wn +C 3) Isolation T=x/Y r > 2 → T<1 → 4X Isolation region Y= F cos wt Tmax Isolate the system from the excitation source using isolator with very low natural frequency. 1- w。く r= w/wn (4) Reduction T=X/Y Y= LF cos wt Tmax Reduce the amplitude of the excitation source to reduce the the response. 1- r = w/wn 5 Absorption A = X/dst X' = -X > X = 0 Y= F cos wt Without DVA Amax Absorb the response of the system using dynamic vibration absorbers (DVA). with DVA Amin r= w/wn 6) Restriction T=x/Y X' = -X > X = 0 Y= F cos wt Unconstrained Tmax Restrict the motion of the system response by imposing motion constraints. Constrained 1+ >r= w/wn X: System response Y: Excitation source F: Excitation amplitude W: Excitation frequency t: Time T: Transmissibility A: Amplitude ratio r: Frequency ratio Wn: Natural frequency m: Mass C: Damping k: Stiffness
Transcribed Image Text:6 Principles of Vibration Attenuation Am Vibrations Notes # 2 Luqmaan Sulaiman O Separation Y=F cos (w+Aw)t T=X/Y r*1 > T< Tmax => + X Resonance region Tmax Ampz Separate the excitation frequency and natural frequency to avoid the resonance region. mm Ak 1- r= w/Wn 1 12 2 Dissipation T=X/Y 15 > T< Tmax → I X Y = F cos wt Low damping High damping X Tmax Dissipate vibration energy away from the system by increasing the damping property. 1- →r =w/Wn +C 3) Isolation T=x/Y r > 2 → T<1 → 4X Isolation region Y= F cos wt Tmax Isolate the system from the excitation source using isolator with very low natural frequency. 1- w。く r= w/wn (4) Reduction T=X/Y Y= LF cos wt Tmax Reduce the amplitude of the excitation source to reduce the the response. 1- r = w/wn 5 Absorption A = X/dst X' = -X > X = 0 Y= F cos wt Without DVA Amax Absorb the response of the system using dynamic vibration absorbers (DVA). with DVA Amin r= w/wn 6) Restriction T=x/Y X' = -X > X = 0 Y= F cos wt Unconstrained Tmax Restrict the motion of the system response by imposing motion constraints. Constrained 1+ >r= w/wn X: System response Y: Excitation source F: Excitation amplitude W: Excitation frequency t: Time T: Transmissibility A: Amplitude ratio r: Frequency ratio Wn: Natural frequency m: Mass C: Damping k: Stiffness
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