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FUNDAMENTAL OF VIBRATIONS
NUMERICAL PROBLEMS
DR ANIL KUMAR
DEPARTMENT OF MECHANICAL AND INDUSTRIAL ENGINEERING
1
CONTENTS
 ADDITION OF TWO SHMs
 FOURIER SERIES
 COMBINED STIFFNESS
2
ADDITION OF TWO SHMs
 Split up the harmonic motion x = 10 sin(t+/6), into two harmonic motions, one of
them having a phase angle of zero and the other having a phase angle of 45
degrees.
3
FOURIER SERIES
Write expressions for the periodic function for one cycle.
4
COMBINED STIFFNESS
 Find the equivalent stiffness of the shown
system using the displacement of the block
as the generalized coordinate?
5

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