Abstract
Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.
| Original language | English |
|---|---|
| Article number | 59709 |
| Pages (from-to) | 1-8 |
| Number of pages | 8 |
| Journal | Differential Equations and Nonlinear Mechanics |
| Volume | 2006 |
| DOIs | |
| Publication status | Published - 16 Oct 2006 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Analysis
- Mechanics of Materials
- Applied Mathematics
Cite this
Dynamics of flexible shells and Sharkovskiy's periodicity. / Krysko, Vadim A.; Awrejcewicz, Jan; Saveleva, Natalya E.; Krysko, Anton V.
In: Differential Equations and Nonlinear Mechanics, Vol. 2006, 59709, 16.10.2006, p. 1-8.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Dynamics of flexible shells and Sharkovskiy's periodicity
AU - Krysko, Vadim A.
AU - Awrejcewicz, Jan
AU - Saveleva, Natalya E.
AU - Krysko, Anton V.
PY - 2006/10/16
Y1 - 2006/10/16
N2 - Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.
AB - Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.
UR - http://www.scopus.com/inward/record.url?scp=33749550463&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33749550463&partnerID=8YFLogxK
U2 - 10.1155/DENM/2006/59709
DO - 10.1155/DENM/2006/59709
M3 - Article
VL - 2006
SP - 1
EP - 8
JO - Differential Equations and Nonlinear Mechanics
JF - Differential Equations and Nonlinear Mechanics
SN - 1687-4099
M1 - 59709
ER -