The nonlinear thermomechanical vibration of a functionally graded beam on Winkler-Pasternak foundation

By using the Optimal Auxiliary Functions Method (OAFM), nonlinear free thermomechanical vibration of functionally graded beam (FGB) on Winkler-Pasternak elastic foundation is studied. Based on von Karman geometric nonlinearity, on Euler-Bernoulli beam theory and also on Galerkin procedure we obtain...

Full description

Saved in:
Bibliographic Details
Main Authors: Marinca, Vasile, Herisanu, Nicolae
Format: Conference Proceeding
Language:English
Subjects:
Beam theory (structures)
Beams (structural)
Elastic foundations
Euler-Bernoulli beams
Functionally gradient materials
Galerkin method
Geometric nonlinearity
Nonlinear differential equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:By using the Optimal Auxiliary Functions Method (OAFM), nonlinear free thermomechanical vibration of functionally graded beam (FGB) on Winkler-Pasternak elastic foundation is studied. Based on von Karman geometric nonlinearity, on Euler-Bernoulli beam theory and also on Galerkin procedure we obtain a second-order nonlinear differential equation with quadratic and cubic nonlinear terms. The results obtained by means of OAFM are compared and shown to be in an excellent agreement with available solutions known in the literature.
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/201814813004