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Volume 16 Issue S2
Nov.  2021
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Article Contents
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

doi: 10.13374/j.issn1001-053x.1994.s2.017
  • Received Date: 1994-03-01
    Available Online: 2021-11-13
  • 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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      沈陽化工大學材料科學與工程學院 沈陽 110142

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