Chaotic vibrations of flexible infinite length cylindrical panels using the Kirchhoff–Love model

Treated as continuous deformable systems with an infinite number of degrees of freedom, flexible infinite length cylindrical panels subject to harmonic load are studied. Using the finite difference method with respect to spatial coordinates, the continuous system is reduced to lumped one governed by...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 12; no. 4; pp. 519 - 542
Main Authors Awrejcewicz, J., Krysko, V.A., Nazar’iantz, V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2007
Subjects
Chaos
Differential equations
Flexible panels
Shells
46.70.De
Chaos
02.70.Bf
05.45.Ac
Flexible panels
Differential equations
02.60.Lj
Shells
02.60.Cb
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Summary:Treated as continuous deformable systems with an infinite number of degrees of freedom, flexible infinite length cylindrical panels subject to harmonic load are studied. Using the finite difference method with respect to spatial coordinates, the continuous system is reduced to lumped one governed by ordinary differential equations. These equations are transformed to a normal form and then solved numerically using the fourth order Runge–Kutta method. In order to trace and explain vibrational behaviour, dependencies w max( q 0) and Lyapunov exponents are calculated for panels with parameter value k x = 48. The corresponding charts of the control parameters { q 0, ω q } are also reported. Novel scenarios yielding chaotic dynamics exhibited by cylindrical panels are illustrated and discussed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2005.04.002