流体作用下正交各向异性圆锥壳的自由振动

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (11) : 95-100.

论文

流体作用下正交各向异性圆锥壳的自由振动

曹雄涛;华宏星

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Free vibration of orthotropic conical shell interacting with fluid

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摘要

给出了流体载荷作用下正交各向异性圆锥壳体的自由振动理论模型。通过波传播法和Galerkin法得到了流体载荷作用下截锥壳体自由振动的解。流体载荷作用下的锥壳被划分为好几段，并且每个小圆锥段被当作一个小圆柱段。通过确定每个小圆柱段的流体载荷，来确定锥壳的流体载荷。这样，作用在锥壳上的流体载荷逐段加载。流体载何以及没有流体载荷作用的各向同性和正交各向异性圆锥壳的数值结果被计算出来阐述求解过程的有效性。

Abstract

A theoretical model for free vibration of orthotropic truncated conical shell with fluid load is presented. The solution for free vibration of truncated conical shell with fluid load is found by use of wave propagation approach and Galerkin method. The fluid loaded conical shell is divided into several segments and each small strip of conical shell is treated as circular cylindrical shell. The fluid load of conical shell is obtained by determining the fluid load of each cylinder. Thus, the fluid load acts on conical shell by parts. Numerical results for isotropic and orthotropic conical shells with fluid load or without fluid load are computed to illustrate the validity of the presented solution procedures.