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旋转功能梯度圆柱壳的固有频率计算

项松 李广超 张魏 杨明绥

应用数学和力学2012,Vol.33Issue(3):332-341,10.
应用数学和力学2012,Vol.33Issue(3):332-341,10.DOI:10.3879/j.issn.1000-0887.2012.03.006

旋转功能梯度圆柱壳的固有频率计算

Natural Frequency of Rotating Functionally Graded Cylindrical Shells

项松 1李广超 2张魏 2杨明绥2

作者信息

  • 1. 沈阳航空航天大学通用航空重点实验室,沈阳110136
  • 2. 沈阳航空航天大学航空航天学部,沈阳110136
  • 折叠

摘要

Abstract

Love' s first approximation theory was used to analyze the natural frequency of rotating functionally graded cylindrical shell. In order to verify the validity of the present method, natural frequencies of the simply supported non-rotating isotropic cylindrical shell and functionally graded cylindrical shell were compared with the available published results and good agreement was obtained. The effect of power law index, the wave number along the x and 6 direction , thickness to radius ratio on natural frequencies of the simply supported rotating functionally graded cylindrical shell was investigated by several numerical examples. It is found that the fundamental frequencies of the backward waves increased with the increasing rotating speed while those of forward waves decreased with the increasing rotating speed, the forward and backward waves frequencies increased with the increasing thickness to radius ratio.

关键词

固有频率/旋转/功能梯度材料/圆柱壳

Key words

natural frequency/ rotating/ functionally graded material/ cylindrical shells

分类

数理科学

引用本文复制引用

项松,李广超,张魏,杨明绥..旋转功能梯度圆柱壳的固有频率计算[J].应用数学和力学,2012,33(3):332-341,10.

应用数学和力学

OA北大核心CSCDCSTPCD

1000-0887

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