- Tytuł:
- Free Vibrations of Uniform Timoshenko Beams on Pasternak Foundation Using Coupled Displacement Field Method
- Autorzy:
-
Rajesh, K.
Saheb, K. M. - Powiązania:
- https://bibliotekanauki.pl/articles/140207.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
free vibrations
coupled displacement field method
uniform Timoshenko beam
Pasternak foundation
drgania swobodne
metoda CDF
jednolita belka Timoshenko
podłoże Pasternaka - Opis:
- Complex structures used in various engineering applications are made up of simple structural members like beams, plates and shells. The fundamental frequency is absolutely essential in determining the response of these structural elements subjected to the dynamic loads. However, for short beams, one has to consider the effect of shear deformation and rotary inertia in order to evaluate their fundamental linear frequencies. In this paper, the authors developed a Coupled Displacement Field method where the number of undetermined coefficients 2n existing in the classical Rayleigh-Ritz method are reduced to n, which significantly simplifies the procedure to obtain the analytical solution. This is accomplished by using a coupling equation derived from the static equilibrium of the shear flexible structural element. In this paper, the free vibration behaviour in terms of slenderness ratio and foundation parameters have been derived for the most practically used shear flexible uniform Timoshenko Hinged-Hinged, Clamped-Clamped beams resting on Pasternak foundation. The findings obtained by the present Coupled Displacement Field Method are compared with the existing literature wherever possible and the agreement is good.
- Źródło:
-
Archive of Mechanical Engineering; 2017, LXIV, 3; 359-373
0004-0738 - Pojawia się w:
- Archive of Mechanical Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł