Journal of Materials and Engineering Structures
Volume 12, Numéro 4, Pages 593-610
2025-12-30
Comparative Study On Dynamic Behaviour Of Thick Beams On Foundation: Winkler, Pasternak And Kerr Foundation
Authors : Lohar Hareram . Mitra Anirban .
Abstract
A comparative study amongst different types of elastic foundation of a bi-directionally graded beam mounted on elastic foundation is carried out. A single parameter Winkler, two parameters Pasternak and three parameters Kerr foundation are considered as elastic foundation. Bi-directional variation of the beam material is considered along the both thickness and length directions following power law distribution function. The kinematics of the beam is defined following Timoshenko beam theory. To obtain the geometric nonlinear free vibration response the problem is solved in two stages. At initial stage the static part of the problem is solved under loaded condition. Small amplitude dynamic analysis is followed next on the pre-deflected beam to get large amplitude free vibrational response. Displacement based Rayleigh-Ritz principle is utilized to formulate the problem and employing a numerical method the problem is solved. New sets of results are prepared for various combinations of system parameters to investigate the effect of various types of elastic foundations on dynamic behaviour.
Keywords
Bi-directionally graded Materials ; Free vibration ; Kerr foundation ; Semi analytical method
Les articles similaires
Hamadou A.
.
Thobel Jean-luc
.
Lamari S.
.
pages 30-33.
Shakir Qasim M.
.
Alghazali Asmaa F.
.
pages 5-20.
Vijayaprabha C.
.
Brindha D.
.
pages 293-306.
Bouhedma Sofiane
.
Ouali Mohammed
.
Mahieddine Ali
.
pages 051-062.
Dac Duc Nguyen
.
Nhat Minh Hoang
.
pages 435-445.
