摘 要: | This paper deals with the forced harmonie responses of the discrete or continuous dampedsystems to harmonic excitation,where the viscous damping matrix cannot be diagonalized.Theexplicit expressions of the response solutions are given.Hence,with these expressions,some generaland analytical study of some phenomena in vibration is made.For example,the“fixed amplitudepoint”phenomena in the single damped systems have been demonstrated generally.The conditions,under which all forces that exert on the system and possess common phase,which will excite com-mon phase responses,are also discussed.The solutions deduced here only involve the inverse matrices of lower order.Thus,in thenumerical computation for digital computers,the method is more simple,economical,and accuratethan others.The method described here can be used in the analysis of unbalance responses of the rotorsystems.
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