Nonlinear modes of snap-through motions of a shallow arch

被引：22

作者：

Breslavsky, I. ^{[2
]}

Avramov, K. V. ^{[1
,2
]}

Mikhlin, Yu. ^{[3
]}

Kochurov, R. ^{[2
]}

机构：

[1] AN Podgornogo Inst Problems Engn Mech NAS Ukraine, Dept Nonstationary Vibrat, UA-61046 Kharkov, Ukraine

[2] Natl Tech Univ KhPI, Dept Gas & Fluid Mech, UA-61002 Kharkov, Ukraine

[3] Natl Tech Univ KhPI, Dept Appl Mech, UA-61002 Kharkov, Ukraine

来源：

JOURNAL OF SOUND AND VIBRATION | 2008年 / 311卷 / 1-2期

关键词：

Acoustic waves - Computer simulation - Natural frequencies - Vibrations (mechanical);

D O I：

10.1016/j.jsv.2007.09.015

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Nonlinear modes of snap-through motions of a shallow arch are analyzed. Dynamics of shallow arch is modeled by a two-degree-of-freedom system. Two nonlinear modes of this discrete system are treated. The methods of Ince algebraization and Hill determinants are used to study stability of nonlinear modes. The analytical results are compared with the data of the numerical simulations. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：297 / 313

页数：17

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