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The following is the equation of motion for forced damped vibration of a mass-damper system: mx + cx + kx = F₁ sin wt The magnification factor variation with respect to the frequency ratio is given in Figure Q5 for various damping ratio values. If it is known that for the system examined the damping ratio is 0.3 and the magnification factor takes the value 0.8, then how the vibration amplitude can be further reduced by only altering the mass, damping coefficient and stiffness coefficient? Amplitude ratio: M = 2.8 2.4 2.0 1.6 1.2 1.0 0.8 0.4 0 = 0.1 = 0.3 = 0.4 <=0.5._. = 1.5 -= 2.0 5.0 0.4 0.8 1.2 1.6 2.0 1.0 Frequency ratio: r = 3.0 2.4 2.8 3.2 @ Wn

The following is the equation of motion for forced damped vibration of a mass-damper system: mx + cx + kx = F₁ sin wt The magnification factor variation with respect to the frequency ratio is given in Figure Q5 for various damping ratio values. If it is known that for the system examined the damping ratio is 0.3 and the magnification factor takes the value 0.8, then how the vibration amplitude can be further reduced by only altering the mass, damping coefficient and stiffness coefficient? Amplitude ratio: M = 2.8 2.4 2.0 1.6 1.2 1.0 0.8 0.4 0 = 0.1 = 0.3 = 0.4 <=0.5._. = 1.5 -= 2.0 5.0 0.4 0.8 1.2 1.6 2.0 1.0 Frequency ratio: r = 3.0 2.4 2.8 3.2 @ Wn

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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The following is the equation of motion for forced damped vibration of a mass-damper system: mx + cx + kx Fo sin wt The magnification factor variation with respect to the frequency ratio is given in Figure Q5 for various damping ratio values. If it is known that for the system examined the damping ratio is 0.3 and the magnification factor takes the value 0.8, then how the vibration amplitude can be further reduced by only altering the mass, damping coefficient and stiffness coefficient? 4/1055 Amplitude ratio: M = 2.8 2.4 2.0 1.6 1.2 1.0 0.8 0.4 0 = 5.0 0.4 = 0.1 = 0.3 X = 0.4 -=0.5.-- = 1.5 = 2.0 0.8 1.2 1.6 2.0 1.0 Frequency ratio: r = = 3.0 2.4 2.8 3.2 W Wn
Transcribed Image Text:The following is the equation of motion for forced damped vibration of a mass-damper system: mx + cx + kx Fo sin wt The magnification factor variation with respect to the frequency ratio is given in Figure Q5 for various damping ratio values. If it is known that for the system examined the damping ratio is 0.3 and the magnification factor takes the value 0.8, then how the vibration amplitude can be further reduced by only altering the mass, damping coefficient and stiffness coefficient? 4/1055 Amplitude ratio: M = 2.8 2.4 2.0 1.6 1.2 1.0 0.8 0.4 0 = 5.0 0.4 = 0.1 = 0.3 X = 0.4 -=0.5.-- = 1.5 = 2.0 0.8 1.2 1.6 2.0 1.0 Frequency ratio: r = = 3.0 2.4 2.8 3.2 W Wn
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