Temat: fundamental natural frequency

Skocz do pozycji: 1.

Tytuł:: Three models of a sandwich beam: bending, buckling, and free vibrations
Autorzy:: Magnucki, Krzysztof
Magnucka-Blandzi, Ewa
Wittenbeck, Leszek
Tematy:: shear deformation theory
deflection; critical load
fundamental natural frequency; Pokaż więcej
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Powiązania:: https://bibliotekanauki.pl/articles/38884025.pdf Link otwiera się w nowym oknie
Opis:: This paper is devoted to the analytical modelling of a sandwich beam. Three models of this beam are elaborated. Two nonlinear individual shear theories of deformation of a plane cross-sections are proposed. Based on Hamilton’s principle, two differential equations of motion for each model are obtained. The bending, buckling and free flexural vibration problems of the simply-supported sandwich beam considering these three models are studied. The results of these analytical investigations are presented in tables.
Dostawca treści:: Biblioteka Nauki

Artykuł

na półce

Skocz do pozycji: 2.

Tytuł:: Dynamic stability of a three-layer beam – generalisation of the sandwich structure theory
Autorzy:: Magnucki, Krzysztof
Magnucka-Blandzi, Ewa
Tematy:: three-layer beam
fundamental natural frequency
unstable regions
mathematical modelling
shear effect; Pokaż więcej
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Powiązania:: https://bibliotekanauki.pl/articles/58907294.pdf Link otwiera się w nowym oknie
Opis:: The work focuses on the dynamic stability problem of a simply supported three-layer beam subjected to a pulsating axial force. Two analytical models of this beam are developed: one model takes into account the non-linear hypothesis of cross-section deformation, and the other takes into account the standard "broken line" hypothesis. Displacements, strains and stresses for each model are formulated in detail. Based on the Hamilton principle, equations of motion are determined for each of these models. These systems of two differential equations for each model are approximately solved with the consideration of the axial pulsating force, and the fundamental natural frequencies, critical forces and the Mathieu equation are determined. Detailed studies are performed for an exemplary family of beams. The stable and unstable regions are calculated for the three pulsating load cases. The values of fundamental natural frequencies and critical forces of exemplary beams calculated from two models are compared.
Dostawca treści:: Biblioteka Nauki

Artykuł

na półce

Skocz do pozycji: 3.

Tytuł:: Free flexural vibrations of an expanded-tapered sandwich beam
Autorzy:: Magnucki, Krzysztof
Kustosz, Joanna
Goliwąs, Damian
Tematy:: analytical modelling
expanded-tapered sandwich beam
fundamental natural frequency
modelowanie analityczne
belka sandwiczowa
częstotliwość drgań własnych; Pokaż więcej
Wydawca:: Politechnika Poznańska. Instytut Mechaniki Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/24201991.pdf Link otwiera się w nowym oknie
Opis:: The paper is devoted to the analytical modelling of a simply supported expanded-tapered sandwich beam. The simplified analytical model of this beam with omitting the shear effect is elaborated. Based on Hamilton’s principle, the differential equation of motion of this beam is obtained. This equation is analytically solved with consideration of the deflection line of this beam subjected to its own weight. The fundamental natural frequencies for exemplary beams are derived. Moreover, the FEM model of the beam in the ABAQUS is developed. The calculation results of the fundamental natural frequency of exemplary beams of these two methods are presented in tables and figures.
Dostawca treści:: Biblioteka Nauki

Artykuł

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