Open AccessFree vibration analysis on axially graded beam resting on variable Pasternak foundation
Author(s) -
Saurabh Kumar
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1206/1/012016
Subject(s) - axial symmetry , vibration , boundary value problem , beam (structure) , foundation (evidence) , rayleigh–ritz method , stiffness , timoshenko beam theory , hamilton's principle , mathematics , structural engineering , mathematical analysis , mechanics , physics , engineering , law , acoustics , political science
Free vibration analysis is conducted on axially functionally graded Euler-Bernoulli beam resting on variable Pasternak foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying linearly along the axial direction. Two types of boundary conditions namely; clamped and simply supported are used in the analysis. The problem is formulated using Rayleigh-Ritz method and governing equations are derived with the help of Hamilton’s principle. The numerical results are generated for different material gradation parameter, foundation parameter and boundary conditions and the effect of these parameters on the free vibration behaviour of the beam is discussed.