On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells

V. A. Krysko, J. Awrejcewicz, M. V. Zhigalov, I. V. Papkova, T. V. Yakovleva, A. V. Krysko

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)2093-2118
Number of pages26
JournalNonlinear Dynamics
Volume92
Issue number4
DOIs
Publication statusPublished - 1 Jun 2018

Fingerprint

Multilayer
Shell
Mathematical Model
Mathematical models
Generalized Solution
Numerical Investigation
Variational Methods
Difference Method
Regularization
Model
Theorem

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

Krysko, V. A., Awrejcewicz, J., Zhigalov, M. V., Papkova, I. V., Yakovleva, T. V., & Krysko, A. V. (2018). On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells. Nonlinear Dynamics, 92(4), 2093-2118. https://doi.org/10.1007/s11071-018-4183-4

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 journalArticle

Krysko, VA, Awrejcewicz, J, Zhigalov, MV, Papkova, IV, Yakovleva, TV & Krysko, AV 2018, 'On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells', Nonlinear Dynamics, vol. 92, no. 4, pp. 2093-2118. https://doi.org/10.1007/s11071-018-4183-4
Krysko, V. A. ; Awrejcewicz, J. ; Zhigalov, M. V. ; Papkova, I. V. ; Yakovleva, T. V. ; Krysko, A. V. / On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells. In: Nonlinear Dynamics. 2018 ; Vol. 92, No. 4. pp. 2093-2118.
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