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I want to know about the advantages and disadvantages of displaying viscous damping free vibration response...

I want to know about the advantages and disadvantages of displaying viscous damping free vibration response with natural frequency and dimensionless damping ratio

specifically by using [ X**+2(zetta)W(n)X*+W(n)^2X=0 ] instead of [ mX**+cX*+kx=0 ], what is the advantages and disadvantages?

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Ne vbraom フtL . 4 、ハら.rafı 0 n in.ro ny eases, lik..tag.AJaha

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