A single degree of freedom system with viscous damper is shown in Figure 2. a) Determine the natural frequency and damping ratio if M 1 kg, kı = 11 N/m, k2 = 14 N/m, c1= 3 N.s/m and c2= 2 N.s/m.

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
icon
Related questions
Question

Mechanical Vibration

QUESTION 2
A single degree of freedom system with viscous damper is shown in Figure 2.
a) Determine the natural frequency and damping ratio if M = 1 kg, ki = 11 N/m, k2 = 14
N/m, c1= 3 N.s/m and c2= 2 N.s/m.
b) Derive an expression for the transient displacement of the system if x(0) =0 and
*(0) = vo -
c) If you are asked to replace the viscous dampers, determine the viscous dampers to
avoid oscillation. Justify your answer.
C1
k,
m
Figure 2
Transcribed Image Text:QUESTION 2 A single degree of freedom system with viscous damper is shown in Figure 2. a) Determine the natural frequency and damping ratio if M = 1 kg, ki = 11 N/m, k2 = 14 N/m, c1= 3 N.s/m and c2= 2 N.s/m. b) Derive an expression for the transient displacement of the system if x(0) =0 and *(0) = vo - c) If you are asked to replace the viscous dampers, determine the viscous dampers to avoid oscillation. Justify your answer. C1 k, m Figure 2
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Free Damped Vibrations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY