Huang Hanzhou, Lin He. Study on Vibration of Damped Linear Systems with Multiple Eigenvalues[J]. Chinese Journal of Engineering, 1994, 16(S2): 75-80,85. DOI: 10.13374/j.issn1001-053x.1994.s2.017
Citation: Huang Hanzhou, Lin He. Study on Vibration of Damped Linear Systems with Multiple Eigenvalues[J]. Chinese Journal of Engineering, 1994, 16(S2): 75-80,85. DOI: 10.13374/j.issn1001-053x.1994.s2.017

Study on Vibration of Damped Linear Systems with Multiple Eigenvalues

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  • Received Date: February 28, 1994
  • Available Online: November 12, 2021
  • In this paper, the transfer function method in complex modal theory has been studied.The transfer function matrix and its residual matrices of a damped linear system are introduced. The expansion formula of the transfer function matrix is derived and proved, with which the real expressions are developed for vibration response of a damped linear system with multiple degrees of freedom. The expressions presented in the paper can be used to compute the vibration response of a damped linear system in which one or more multiple eigenvalues may exist, so the problem dealing with multiple eigenvalues is solved about the solution of the vibration response of a damped linear system. Finally one example is shown.
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