1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.

1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The governing equation of motion for a base motion system is given by (assume the
units are Newton)
mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t)
%3D
Given that m =
180 kg, c = 30 kg/s, Y = 0.02 m,
and
о, — 3.5 rad/s
%3|
1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the
transmissibility ratio less than 0.85
2. Using the value of the stiffness obtained in part (1), determine the transmitted
force to the base motion system using Matlab or Excel.
3. Display and discuss your results.

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