Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach

Abstract

The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.

Original language	English
Pages (from-to)	495-504
Number of pages	10
Journal	Archive of Applied Mechanics
Volume	73
Issue number	7
DOIs	https://doi.org/10.1007/s00419-003-0303-8
Publication status	Published - 1 Dec 2003
Externally published	Yes

Keywords

Bubnov-Galerkin method
Chaotic vibration
Lyapunov exponent
Poincaré section
Runge-Kutta method
Shell

ASJC Scopus subject areas

Mechanics of Materials
Computational Mechanics

Access to Document

10.1007/s00419-003-0303-8

Fingerprint Dive into the research topics of 'Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach'. Together they form a unique fingerprint.

Cite this

@article{9f47e168a69d4ef1bada4104c784de48,

title = "Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach",

abstract = "The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.",

keywords = "Bubnov-Galerkin method, Chaotic vibration, Lyapunov exponent, Poincar{\'e} section, Runge-Kutta method, Shell",

author = "J. Awrejcewicz and Krys'ko, {A. V.}",

year = "2003",

month = dec,

day = "1",

doi = "10.1007/s00419-003-0303-8",

language = "English",

volume = "73",

pages = "495--504",

journal = "Archive of Applied Mechanics",

issn = "0939-1533",

publisher = "Springer Verlag",

number = "7",

}

TY - JOUR

T1 - Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach

AU - Awrejcewicz, J.

AU - Krys'ko, A. V.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.

AB - The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.

KW - Bubnov-Galerkin method

KW - Chaotic vibration

KW - Lyapunov exponent

KW - Poincaré section

KW - Runge-Kutta method

KW - Shell

UR - http://www.scopus.com/inward/record.url?scp=0346972521&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346972521&partnerID=8YFLogxK

U2 - 10.1007/s00419-003-0303-8

DO - 10.1007/s00419-003-0303-8

M3 - Article

AN - SCOPUS:0346972521

VL - 73

SP - 495

EP - 504

JO - Archive of Applied Mechanics

JF - Archive of Applied Mechanics

SN - 0939-1533

IS - 7

ER -