Nonlinear analysis of rotor dynamics by using the method of multiple scales

被引：10

作者：

Yabuno, H. ^{[1
]}

Kunitho, Y. ^{[1
]}

Inoue, T. ^{[2
]}

Ishida, Y. ^{[2
]}

机构：

[1] Univ Tsukuba, Grad Sch Syst & Informat Engn, Tsukuba, Ibaraki 3058573, Japan

[2] Nagoya Univ, Grad Sch Engn, Nagoya, Aichi, Japan

来源：

IUTAM SYMPOSIUM ON DYNAMICS AND CONTROL OF NONLINEAR SYSTEMS WITH UNCERTAINTY | 2007年 / 2卷

关键词：

rotor dynamics; nonlinear; whirling motion; the method of multiple scales;

D O I：

10.1007/978-1-4020-6332-9_17

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The method of multiple scales is modified to nonlinear analysis in rotor systems. Amplitude equations for forward and backward whirling modes are directly derived and the method makes it easier to understand resonance mechanism. As an example, we analyze near the major critical speed the nonlinear dynamics of a horizontally supported Jeffcott rotor and show that nonlinear and gravity effects cause the backward whirling mode in addition to the forward one. Some experiments are performed and the validity of the theoretical results is confirmed.

引用

页码：167 / +

页数：2