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 |
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
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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