Nonlinear travelling wave vibrations of a rotating thin cylindrical shell

被引：47

作者：

Sun, Shupeng ^{[1
]}

Liu, Lun ^{[2
]}

Cao, Dengqing ^{[3
]}

机构：

[1] Hubei Aerosp Technol Acad, Inst Overall Design, Wuhan 430000, Hubei, Peoples R China

[2] Shandong Normal Univ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China

[3] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2018年 / 431卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Nonlinear; Travelling wave vibration; Rotating; Cylindrical shell; LARGE-AMPLITUDE VIBRATION; RAYLEIGH-RITZ METHOD; THERMAL ENVIRONMENTS; BOUNDARY-CONDITIONS; ELASTIC-FOUNDATION; FORCED VIBRATION;

D O I：

10.1016/j.jsv.2018.05.042

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Nonlinear travelling wave vibrations of a rotating thin cylindrical shell are studied in the paper. Taking into account the effects of centrifugal and Coriolis forces as well as the initial hoop tension due to rotation, governing equations of the nonlinear rotating cylindrical shell with simply supported conditions are derived by using Lagrange equations. The model described by the governing equations is exact, which means no simplification procedures like neglecting all inertia terms on in-plane directions are carried out. Based on the exact model, numerical simulations are carried out to reveal some complex dynamic characteristics of nonlinear travelling wave vibrations, which are different from nonlinear (standing wave) vibrations in generic stationary shells. These results are presented in detail, including amplitude-frequency curves, bifurcation diagrams, time histories, phase portraits, poincare maps and frequency spectrums. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：122 / 136

页数：15

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