A dynamical structure having mass 20 kg is installed on the elastic foundation. This structure could be excited by a sinusoidal force of 20 N. From the frequency waveform of its output response, it is observed that the maximum steady-state amplitude X of 0.0012 m takes place when the time period T of the output response is 0.20 s. Determine the following: (i) The natural frequency, Wn (ii) The equivalent stiffness of the foundation (iii) The approx. damping ratio { of the foundation among the range of damping ratio, i.e. 0<

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
100%
Subject: mom and vibrations
A dynamical structure having mass 20 kg is installed on the elastic foundation.
This structure could be excited by a sinusoidal force of 20 N. From the frequency waveform of
its output response, it is observed that the maximum steady-state amplitude X of 0.0012 m takes
place when the time period T of the output response is 0.20 s.
Determine the following:
(i) The natural frequency, wn
(ii) The equivalent stiffness of the foundation
(iii) The approx. damping ratio § of the foundation among the range of damping ratio, i.e. 0 <
Transcribed Image Text:A dynamical structure having mass 20 kg is installed on the elastic foundation. This structure could be excited by a sinusoidal force of 20 N. From the frequency waveform of its output response, it is observed that the maximum steady-state amplitude X of 0.0012 m takes place when the time period T of the output response is 0.20 s. Determine the following: (i) The natural frequency, wn (ii) The equivalent stiffness of the foundation (iii) The approx. damping ratio § of the foundation among the range of damping ratio, i.e. 0 <
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Free Undamped 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