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Which option is not correct about free vibration analysis problem KX= λMX, where X represents the amplitude of displacement x?

(a) The displacements are harmonic

(b) X represent mode shapes or Eigen vectors

(c) λ represent Eigen value

(d) ω represents Eigen value

I had been asked this question in semester exam.

The question is from Eigen Value and Time Dependent Problems topic in chapter Single Variable Problems of Finite Element Method

1 Answer

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Best answer
Right option is (d) ω represents Eigen value

The best explanation: In a free vibration analysis KX= λMX, the external load vector is zero and the displacements are harmonic x=Xe^iωt where X represents the amplitude of displacement x called Eigen vectors and λ= ω^2 represent Eigen value.

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