Natural frequencies of layered elongated cylindrical panels for geometrically nonlinear deformation at discrete consideration of components

• Autorzy: Marchuk M. , Goriachko T. , Pakosh V.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The proposed and verified the technique of finding a finite number of first natural frequencies for geometrically nonlinear vibrations of layered elongated cylindrical panels at discrete consideration of components. The influence of the radius of curvature on the natural frequencies of three- and five-layered panels is investigated. The dependence between the volume of filler three-layer panels and the lowest natural frequency has been established.

Słowa kluczowe

EN

elongated layered panel; nonlinear vibrations; perturbation method; natural frequencies

PL

panele podłużne; drgania nieliniowe; metoda perturbacji; częstotliwość drgań własnych

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 255--264
• Opis fizyczny: Bibliogr. 11 poz., rys., wykr.

Twórcy

autor

Marchuk M.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, 3 b Naukova Str., L’viv, 79053, Ukraine
• National University L’viv Polytechnic, 12 Bandera Str., L’viv, 79013, Ukraine

autor

Goriachko T.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, 3 b Naukova Str., L’viv, 79053, Ukraine

autor

Pakosh V.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, 3 b Naukova Str., L’viv, 79053, Ukraine

Bibliografia

• 1. M. Amabili, Nonlinear vibrations and stability of shells and plates, Cambridge: Cambridge Univ. Press, 2008.
• 2. M. Amabili, Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments, Comput. Struct., 82 (2004) 2587 – 2605.
• 3. V. D. Kubenko, P. S. Kovalchuk, N. P. Podchasov, Nonlinear vibrations of cylindrical shells, K.: Vyshcha Shkola, 1989.
• 4. L. V. Kurpa, N. A. Budnikov, Investigation of forced nonlinear vibrations of laminated shallow shells using a multimode approximation, Bulletin of Donetsk Univ. Serіes A. Natural Sciences, 1 (2013) 55 – 60.
• 5. R. Lewandowski, Analysis of strongly nonlinear free vibration of beams using perturbation method, Civil and Env. Eng. Reports, 1 (2005) 153 – 168.
• 6. M. Marchuk, T. Goriachko, V. Pakosh Geometrically Nonlinear Free Transversal Vibrations of Thin-Walled Elongated Panels with Arbitrary Generatrix, Vibrations in Physical Systems, 26 (2014) 153 – 160.
• 7. M. Marchuk, I. Mukha, T. Goriachko, A comparative analysis of the characteristics of geometrically nonlinear stress-strain state of composite plates and cylindrical panels on the basis refied model and elasticity theory, Modeling and Stability: Abstracts of Conference Reports, K: Taras Shevchenko National Univ. of Kyiv, 2011.
• 8. M. Marchuk, V. Pakosh, O. Lesyk, I. Hurayewska, Influence of Pliability to Transversal Deformations of Shear and Compression on Correlation Frequency from Amplitude for Nonlinear Oscillations of Composite Plates, Vibrations in Physical Systems, 22 (2006) 251 – 256.
• 9. N. F. Morozov, Selected two-dimensional problem of elasticity theory, Leningrad: Publishing House of Leningrad. University Press, 1978.
• 10. J. N. Reddy, An Introduction to nonlinear finite element analysis, Oxford Univ. Press, 2004.
• 11. S. Volmir, Nonlinear dynamics of plates and shells, M.: Nauka, 1972.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.