10) In a forced damped vibratory system, why does the maximum vibration amplitude shift to the right as the damping ratio decreases? (e.g., why higher damping ratio cases need lower frequency to exhibit their maximum amplitude?) 11) Consider a 2-DOF undamped system, (e.g., m1= m2 with k1=k2=k3=k). What are the two modes of vibration? (e.g., modals) 12) If you are to approximate the vibration of your car by only two degrees of freedom, what Would they be?

10) In a forced damped vibratory system, why does the maximum vibration amplitude shift to the right as the damping ratio decreases? (e.g., why higher damping ratio cases need lower frequency to exhibit their maximum amplitude?) 11) Consider a 2-DOF undamped system, (e.g., m1= m2 with k1=k2=k3=k). What are the two modes of vibration? (e.g., modals) 12) If you are to approximate the vibration of your car by only two degrees of freedom, what Would they be?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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330.4691 kg, the stiffnesses K1=546103.6157 N/m, K2 = 417004.9619 N/m, the damping constant C =14789.1815 N.s/m and the length L = 0.3215 m. The damped natural frequency of the free vibration of this system is:
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For a damped oscillator with a mass of 390 g, a spring constant 66 N/m and a damping coefficient of 75 g/s, what is the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of 14 cycles? Number i Units
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3. A spring-mass-damper system is subjected to a harmonic force. The amplitude is found to be 20 mm at resonance and 10 mm at a frequency 0.75 times the resonant frequency. Find the damping ratio of the system. A. 0.2180 C. 0.1180 B. 0.1080 D. 0.0180
5. A load of 5000 N resulted in a static displacement of 0.05 m in a composite structure. A harmonic force of amplitude 1000 N is found to cause a resonant amplitude of 0.1 m. Find (a) the hysteresis-damping constant of the structure, (b) the energy dissipated per cycle at resonance, (c) the steady-state amplitude at one-quarter of the resonant frequency, and (d) the steady-state amplitude at thrice the resonant frequency. A. B = 0.1, AW = 314.16- cycle ,X = 0.010161 m, X = 0.00125 m B. B = 1.1, AW = 314.16- cycle ,X = 0.010161 m, X = 0.00125 m C. B = 0.1, AW = 414.16. cycle ,X = 0.110161 m, X = 0.00225 m D. B = 1.1, AW = 414.16- сycle -,X = 0.110161 m, X = 0.00225 m
. (10) Calculate the ratio of the amplitude of the first cycle to that of the second cycle for an oscillating system that has a damping ratio of 0.10. If the initial deflection of the system is 0.75 inches, what is the deflection on the second cycle?
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Figure 1 shows the vibration response of a spring-mass system (Figure 2) under initial disturbance. The response was recorded using an accelerometer (g = 9.81 m/s?). a) Determine the natural frequency of the system in rad/s. b) Determine maximum velocity and displacement. c) If another spring with equivalent stiffness is attached to the system, calculate the period of oscillation. 0.1 0.05 -0.05 -0.1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Time(s) Figure 1 k m Figure 2 (6)epnyduy
5. A load of 5000N resulted in a static displacement of 0.05 m in a composite structure. A harmonic force of amplitude 1000 N is found to cause a resonant amplitude of 0.1 m. Find (a) the hysteresis-damping constant of the structure, (b) the energy dissipated per cyde at resonance, (c) the steady-state amplitude at one-quarter of the resonant frequency, and (d) the steady-state amplitude at thrice the resonant frequency. A. B = 0.1, AW = 314.16- cycle X = 0.010161 m, X = 0.00125 m B. B = 1.1, AW = 314.16, X = 0.010161 m, X = 0.00125 m cycle C. B = 0.1, AW = 414.16- X0.110161 m, X = 0.00225 m cycle D. B = 1.1, AW = 414.16- -,X = 0.110161 m, X = 0.00225 m cycle