Dynamics of a three-layer hemispherical shell under non-stationary loading
DOI:
https://doi.org/10.32347/2410-2547.2025.114.83-93Keywords:
dynamics, three-layer hemispherical shell of asymmetric structure, lightweight aggregate, reinforcing ribs, boundary conditions, finite element method, mechanical effectsAbstract
Dynamic processes are decisive in calculating the behavior of layered structures. Currently, the problem of studying non-stationary dynamic processes of layered shell structures to assess their performance under dynamic loads is quite relevant.On the example of a three-layer hemispherical shell of a symmetric and asymmetric structure with a discrete-inhomogeneous filler, non-stationary dynamic processes were investigated. In the studies, the shear theory of shells and rods of S.P. Tymoshenko was applied using independent static and kinematic hypotheses for each layer and the finite element method was used to calculate the characteristics of the stress-strain state (SSS) and structural vibrations.To derive the oscillation equations of an asymmetric three-layer structure inhomogeneous in thickness, the Hamilton-Ostrogradsky variational principle of stationarity was used.A finite element model of the structure was created for numerical analysis of the dynamics of a layered hemispherical shell with a discrete rib-reinforced filler under the action of dynamic loading.The influence of the physical, mechanical and geometric parameters of the load-bearing layers on the SSS of a three-layer shell under dynamic loading was revealed. Numerical results of solving specific problems are presented.The general trend of the dynamics of all considered variants of the three-layer hemispherical shell structures was a significant response to a change in the elastic modulus of the polymer filler, the magnitude of which significantly affected the nature of the oscillation.The obtained calculation results indicate: an increase in the elastic modulus of the polymer filler by an order of magnitude significantly reduces the effect of the reinforcement action in the structure.The conducted studies show that by selecting the material of the layered package of the hemispherical structure, the thickness of its bearing layers, and the elasticity of the filler, it is possible to create a hemispherical shell structure with predicted dynamic behavior under unsteady
References
Golovko K.G., Lugovoj P.Z., Mejsh V.F. Dinamika neodnorodnyh obolochek pri nestacionarnyh nagruzkah (Dynamics of inhomogeneous shells under unsteady) – Kiev: Izd. – poligraf. centr «Kievskij un-t», 2012. – 541 s.
LugovijP.Z., MejshV.F., MejshYu.A. Dyinamika konstruktyivno-neodnoridnyih obolonkovyih struktur: monografiya (Dynamics of structurally inhomogenous shell structures: monograph)– K.: Lira-K, 2022. – 336 s.
Lugovoi, P.Z., Sirenko, V.N., Prokopenko N.Ya., Klimenko K.V. Influence of the Parameters of a Non-Constant Disturbing Load on the Transient Process of Vibrations of a Ribbed Cylindrical Shell // International Applied Mechanics, 2017, 53, №6 – P. 680–687.
Meish V.F. and Shtantsel S.E. Dynamic problems in the theory of sandwich shells of revolution with a discrete core under nonstationary loads // International Applied Mechanics, 2002, 38, № 12 – P. 1501 – 1507.
Lugovoi, P.Z., Meish, V.F. Dynamics of Inhomogeneous Shell Systems Under Non-Stationary Loading (Survey) // International Applied Mechanics, 2017, 53, – P. 481–537.
Meish V.F., Meish Yu.A., Pavlyuk A.V. Dynamics of a Three-Layer Elliptic Cylindrical Shell Reinforced with Discrete Rings // International Applied Mechanics, 2018, 54, № 2 – P. 172 – 179.
Lugovyi P.Z., Gaidaichuk V.V., Orlenko S.P., Kotenko K. E. Dynamics of Asymmetric Three-layer Spherical Shells with Discretely Inhomogeneous Core under Nonstationary Loading "International Applied Mechanics", 2023, 59(2), P. 175–186.
Lugovyi P.Z., Gaidaichuk V.V., Orlenko S.P., Kotenko K. E. Dynamics of Asymmetric Three-Layer Hemispherical Shells with a Discrete-Inhomogeneous Filler Under Pulsed Loads // Strength of Materials. 2023. 59, № 2.-P. 265–276.
Timoshenko S.P., Vojnovskij-Kriger S. Plastinki i obolochki (Plates and shells) – M.: Nauka, 1966. – 636 s. 8.
Frostig Y., Thomsen O.T. Higher-order free vibration of sandwich panels with a flexible core // Int. J. Solids Struct. – 2004. – 41. – P. 1697 – 1724.
Rychkov S. P. Modelirovanie konstrukcij v srede Femap with NX Nastran (Modeling of structures in the Femap with NX Nastran environment)– M.: DMKPress, 2016. – 784 s.
Segerlind L. Primenenie metoda konechnyih elementov (Application of the finite element method). M.: Mir, 1979 - 392 p.
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