Abstract
Mathematical models of multi-layer orthotropic shells were reconsidered based on the Timoshenko hypothesis. A new mathematical model with ε-regularisation was proposed, and the theorem regarding the existence of a generalised solution to the model was formulated and proved. The algorithms of numerical investigation of models studied with the aid of the variational-difference method were developed. The associated stability problem was also addressed. A comparison of the results yielded by the considered models was carried out and discussed for numerous factors and parameters.
| Original language | English |
|---|---|
| Pages (from-to) | 2093-2118 |
| Number of pages | 26 |
| Journal | Nonlinear Dynamics |
| Volume | 92 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jun 2018 |
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Keywords
- Buckling
- Finite differences
- Shells
- Structures
- Vibrations
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering
Cite this
On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells. / Krysko, V. A.; Awrejcewicz, J.; Zhigalov, M. V.; Papkova, I. V.; Yakovleva, T. V.; Krysko, A. V.
In: Nonlinear Dynamics, Vol. 92, No. 4, 01.06.2018, p. 2093-2118.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells
AU - Krysko, V. A.
AU - Awrejcewicz, J.
AU - Zhigalov, M. V.
AU - Papkova, I. V.
AU - Yakovleva, T. V.
AU - Krysko, A. V.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - Mathematical models of multi-layer orthotropic shells were reconsidered based on the Timoshenko hypothesis. A new mathematical model with ε-regularisation was proposed, and the theorem regarding the existence of a generalised solution to the model was formulated and proved. The algorithms of numerical investigation of models studied with the aid of the variational-difference method were developed. The associated stability problem was also addressed. A comparison of the results yielded by the considered models was carried out and discussed for numerous factors and parameters.
AB - Mathematical models of multi-layer orthotropic shells were reconsidered based on the Timoshenko hypothesis. A new mathematical model with ε-regularisation was proposed, and the theorem regarding the existence of a generalised solution to the model was formulated and proved. The algorithms of numerical investigation of models studied with the aid of the variational-difference method were developed. The associated stability problem was also addressed. A comparison of the results yielded by the considered models was carried out and discussed for numerous factors and parameters.
KW - Buckling
KW - Finite differences
KW - Shells
KW - Structures
KW - Vibrations
UR - http://www.scopus.com/inward/record.url?scp=85043711151&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85043711151&partnerID=8YFLogxK
U2 - 10.1007/s11071-018-4183-4
DO - 10.1007/s11071-018-4183-4
M3 - Article
AN - SCOPUS:85043711151
VL - 92
SP - 2093
EP - 2118
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
SN - 0924-090X
IS - 4
ER -