Dynamic stability and sensitivity to geometric imperfections of strongly compressed circular cylindrical shells under dynamic axial loads

被引：42
|
作者：
Pellicano, Francesco [1 ]
机构：
[1] Univ Modena & Reggio Emilia, Dipartimento Ingn Meccan & Civile, I-41100 Modena, Italy
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 08期
关键词：
Circular cylindrical shells; Stability; Dynamics; Buckling; NONLINEAR DYNAMICS; PARAMETRIC RESONANCE; FLOWING FLUID; VIBRATION; INSTABILITY; MODELS; EMPTY;
D O I：
10.1016/j.cnsns.2009.01.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, the dynamic stability of circular cylindrical shells is investigated; the combined effect of compressive static and periodic axial loads is considered. The Sanders-Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration; Lagrange equations are used to reduce the nonlinear partial differential equations to a set of ordinary differential equations. The dynamic stability is investigated using direct numerical simulation and a dichotomic algorithm to find the instability boundaries as the excitation frequency is varied; the effect of geometric imperfections is investigated in detail. The accuracy of the approach is checked by means of comparisons with the literature. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：3449 / 3462
页数：14
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