中南大学学报（自然科学版）2017，Vol.48Issue(5)：1168-1174,7.DOI:10.11817/j.issn.1672-7207.2017.05.007
基于Rayleigh-Ritz法旋转薄壁圆盘行波特性分析
Travelling wave analysis of rotating thin disks via rayleigh-ritz method
摘要
Abstract
The analysis method, experimental method and finite element method were imported to obtain the traveling wave vibration characteristics of the rotating disk with the center fixed. Based on the Kirchoff thin plates theory and Lagrange equation, the energy equations of the central fixed rotating disk were derived. Secondly, by taking the polynomial functions as the admission function, the Rayleigh-Ritz method was introduced to derive the dynamic equations of rotating disk, in which the characteristics of no-rotating disk and the traveling wave characteristics of rotating disk were considered at the same time. The results of the test and finite element analysis are verified by the proposed method of this paper. The natural characteristic of no-rotating disk and the traveling wave characteristics of rotating disk with different rotating speeds are calculated. The results show that the vibration mode of forward traveling wave increases gradually with rotating speed while the frequency of backward traveling wave decreases at first and then increases, the standing wave phenomena is produced and the disk is easily destroyed when the frequency of backward traveling wave equals zero.关键词
薄壁圆盘/固有特性/行波振动特性/Rayleigh-Ritz法Key words
thin disk/natural characteristic/travelling wave vibration characteristic/Rayleigh-Ritz method.分类
数理科学引用本文复制引用
任红军,张景奇,于晓光,孙伟..基于Rayleigh-Ritz法旋转薄壁圆盘行波特性分析[J].中南大学学报（自然科学版）,2017,48(5):1168-1174,7.基金项目
国家自然科学基金资助项目(11472068) (Project(11472068) supported by the National Natural Science Foundation of China) （11472068）
