Temat: functionally graded beam - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Application of the differential transform method to the free vibration analysis of functionally graded timoshenko beams
Autorzy:: Özdemir, Ö.
Powiązania:: https://bibliotekanauki.pl/articles/281244.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: differential transform method
functionally graded beam
Timoshenko beam
Opis:: In this study, free vibration characteristics of a functionally graded Timoshenko beam that undergoes flapwise bending vibration is analysed. The energy expressions are derived by introducing several explanotary figures and tables. Applying Hamilton’s principle to the energy expressions, governing differential equations of motion and boundary conditions are obtained. In the solution part, the equations of motion, including the parameters for rotary inertia, shear deformation, power law index parameter and slenderness ratio are solved using an efficient mathematical technique, called the differential transform method (DTM). Natural frequencies are calculated and effects of several parameters are investigated.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1205-1217
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Dynamic behaviour of axially functionally graded beam resting on variable elastic foundation
Autorzy:: Kumar, Saurabh
Powiązania:: https://bibliotekanauki.pl/articles/1845017.pdf
Data publikacji:: 2020
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: free vibration
variable elastic foundation
axially functionally graded beams
Euler-Bernoulli beam
Timoshenko beam
wolne wibracje
podłoże zmiennie sprężyste
belka Eulera-Bernoulliego
wiązka Tymoszenko
Opis:: In this paper, a comprehensive study is carried out on the dynamic behaviour of Euler–Bernoulli and Timoshenko beams resting on Winkler type variable elastic foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying along the length direction. The free vibration problem is formulated using Rayleigh-Ritz method and Hamilton’s principle is applied to generate the governing equations. The results are presented as non-dimensional natural frequencies for different material gradation models and different foundation stiffness variation models. Two distinct boundary conditions viz., clamped-clamped and simply supported-simply supported are considered in the analysis. The results are validated with existing literature and excellent agreement is observed between the results.
Źródło:: Archive of Mechanical Engineering; 2020, LXVII, 4; 451-470
0004-0738
Pojawia się w:: Archive of Mechanical Engineering
Dostawca treści:: Biblioteka Nauki

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