Q3. A steel frame supports a rotating machine which exerts a horizontal force at the girder level, [50 x 10³ sin(10t)] N. Assume 4% critical damping, determine steady state amplitude of vibration. I for columns is 150 x 10-6 m4. E = 210GP and m = 5000kg.

Q3. A steel frame supports a rotating machine which exerts a horizontal force at the girder level, [50 x 10³ sin(10t)] N. Assume 4% critical damping, determine steady state amplitude of vibration. I for columns is 150 x 10-6 m4. E = 210GP and m = 5000kg.

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

Q3. A steel frame supports a rotating
machine which exerts a horizontal force
at the girder level, [50 x 10³ sin(10t)] N.
Assume 4% critical damping, determine
steady state amplitude of vibration. I
for columns is 150 x 10-6 m4. E = 210GPa
and m = 5000kg.

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