朱大同. 充液弹性薄壳的自振分析[J]. 工程力学, 1988, 5(1): 62-68.
引用本文: 朱大同. 充液弹性薄壳的自振分析[J]. 工程力学, 1988, 5(1): 62-68.
Zhu Datong. STUDY OF FREE VIBRATION OF A ELASTIC THIN SHELL CONTAINING LIQUID[J]. Engineering Mechanics, 1988, 5(1): 62-68.
Citation: Zhu Datong. STUDY OF FREE VIBRATION OF A ELASTIC THIN SHELL CONTAINING LIQUID[J]. Engineering Mechanics, 1988, 5(1): 62-68.

充液弹性薄壳的自振分析

STUDY OF FREE VIBRATION OF A ELASTIC THIN SHELL CONTAINING LIQUID

  • 摘要: 本文从流体-弹性薄壳耦合振动观点出发,分析充液薄壳自振特性,证明水动力学解是唯一的,以及耦合算子为对称的积分算子。指出结构算子与耦合算子是不可对易的,于是阐明了空壳与充液壳不能用同一振型函数逼近的原因。文中以圆柱壳为例,对用同一振型函数所带来的误差进行对比,表明精度尚好可以在工程中采用。

     

    Abstract: From the point of view of coupling the liquid and a thin elastic shell, free vibration1 of a shell containing liquid was analysed briefly in this pa-per.First,the general solutions were obtained by Ritz's Method and Green's function.It proved that the result of hydrodynamic port is unique,the int-eractionof the structure and the liquid can be expressed as a symmetrical Fredholm's integral operator,and both the structure and the coupling ope-rators can not be reciprocal.Then,the approximate frequency formulas of a circular cylindric al shell fixed or supported on the two ends have been obtained.The result of the numerical calculation has shown consistency of the theory with the experiment.

     

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