东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (11): 1627-1630.DOI: -

• 论著 • 上一篇    下一篇

壳板叶片的固有特性分析

李红影;谢里阳;郭星辉;   

  1. 东北大学机械工程与自动化学院;东北大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    创新团队发展计划项目(IRT0816);;

Inherent characteristics of the cylindrical panel blade

Li, Hong-Ying (1); Xie, Li-Yang (1); Guo, Xing-Hui (2)   

  1. (1) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China; (2) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Guo, X.-H.
  • About author:-
  • Supported by:
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摘要： 提出一种计算壳板叶片固有特性的解析方法.将叶片简化成固定在轮盘上的悬臂开口薄壁圆柱壳,采用将已知的轴向悬臂梁的振型函数代入壳板的振型变分方程降为另一方向的常微分方程的方法,解此常微分方程可以求得叶片的静频、动频以及相应的振型函数,并与有限元结果进行了比较.结果表明:提出的求解方法具有较好的计算精度.利用求得的固有频率和振型函数可以进一步研究单叶片或组合叶片的非线性振动特性以及疲劳寿命.

关键词: 悬臂, 壳板, 叶片, 固有频率, 振型

Abstract: An analytical method for calculating the inherent characteristic of cylindrical panel blade was proposed. The blade was simplified as a cantilevered open cylindrical shell mounted on a disc. By making mode shapes function of cantilevered girder in the longitudinal direction substitute for variational equations so as to simplify it into a constant differential equation in the other direction, the natural frequencies and the mode shapes were thus achieved by solving the equation. The results were also compared with that of the FEM. It showed that the analytical method provides high calculation precision. The as-obtained natural frequencies and the mode shape function can be further used to study the nonlinear characteristics and fatigue life of single blade or multi-blades.

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