Answered: 1. Determine the natural frequencies…

1. Determine the natural frequencies and mode shapes for the undamped system with two degrees of freedom in the figure. mi-2 kg; m: -6 kg k₁ = 4000 N/m; k:= 2000 N/m Base m₂ my (0) *(1)

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 undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

1. Determine the natural frequencies and mode shapes for the undamped system with
two degrees of freedom in the figure.
mi = 2 kg; m₂ = 6 kg
kı = 4000 N/m; k2= 2000 N/m
Base
0000000000 €
1
(0)
*₂(1)

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