Wszystkie pola: Kedzia, A. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties
Autorzy:: Magnucki, K.
Lewiński, J.
Magnucka-Blandzi, E.
Kędzia, P.
Powiązania:: https://bibliotekanauki.pl/articles/279585.pdf
Data publikacji:: 2018
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: FGM beam
mathematical modelling
numerical FEM calculations
Opis:: The subject of the paper is a beam with unsymmetrically varying mechanical properties in the depth direction. The nonlinear hypothesis of plane cross section deformation is assumed. Based on Hamilton’s principle, two differential equations of motion are obtained. The system of equations is analytically solved with a view to analyse the bending, buckling and free vibration problems of the beam. Moreover, the FEM model of the beam is developed and deflections, critical axial forces and natural frequencies of the beam are calculated. The results of these two methods are compared.
Źródło:: Journal of Theoretical and Applied Mechanics; 2018, 56, 4; 1163-1178
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Free flexural vibration of a sandwich beam on an elastic foundation with variable properties
Autorzy:: Magnucki, K.
Wstawska, I.
Kedzia, P.
Powiązania:: https://bibliotekanauki.pl/articles/38697114.pdf
Data publikacji:: 2023
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: free vibration
elastic foundation
sandwich beam
frequency
Galerkin method
Opis:: Free flexural vibration of a simply supported sandwich beam on an elastic foundation is the main purpose of the presented investigation. An analytical model of multi-layered beam on elastic foundation has been prepared. The authors submitted an original beam-foundation interaction model which based on variable parameters of the foundation and their influence on the beam response. This explanation leads to the possibility of continuous characterization of the beam-foundation interplay. A nonlinear mathematical function for symmetrical properties of the foundation has been adopted. The frequency equation as a function of geometric and mechanical properties of the beam and the parameters of the elastic foundation was derived using the Galerkin method. The analytical investigation has been divided into two parts: the analysis of elastic foundation with constant and variable properties. The unconventional shape function and the function of deflection have been introduced and employed. Moreover, the finite element analysis has been performed. Sample analytical and numerical calculations have been performed, demonstrating a good concurrence between both models. The difference between analytical and numerical values of the fundamental natural frequency did not exceed 0:5%.
Źródło:: Archives of Mechanics; 2023, 75, 6; 619-646
0373-2029
Pojawia się w:: Archives of Mechanics
Dostawca treści:: Biblioteka Nauki

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