The Forced Response of the Damping Dynamic Systems

Chang Wen

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Article Navigation > Applied Mathematics and Mechanics > 1980 > 1(3): 407-416

Chang Wen. The Forced Response of the Damping Dynamic Systems[J]. Applied Mathematics and Mechanics, 1980, 1(3): 407-416.

Citation:

Chang Wen. The Forced Response of the Damping Dynamic Systems[J]. Applied Mathematics and Mechanics, 1980, 1(3): 407-416.

Citation:

Chang Wen. The Forced Response of the Damping Dynamic Systems[J]. Applied Mathematics and Mechanics, 1980, 1(3): 407-416.

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The Forced Response of the Damping Dynamic Systems

Chang Wen

Fudan University, Shanghai

Received Date: 1980-02-20
Publish Date: 1980-06-15

Abstract

Abstract

This paper deals with the forced harmonie responses of the discrete or continuous damped systems to harmonic excitation, where the viscous damping matrix cannot be diagonalized. The explicit expressions of the response solutions are given. Hence, with these expressions, some general and analytical study of some phenomena in vibration is made. For example, the "fixed amplitude point" 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 common phase responses, are also discussed.The solutions deduced here only involve the inverse matrices of lower order. Thus, in the numerical computation for digital computers, the method is more simple, economical, and accurate than others.The method described here can be used in the analysis of unbalance responses of the rotor systems.

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References(17)

References

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