Nonlinear bending of functionally graded tapered beams subjected to thermal and mechanical loading

Non-linear bending analysis of tapered functionally graded (FG) beam subjected to thermal and mechanical load with general boundary condition is studied. The governing equations are derived and a discussion is made about the possibility of obtaining analytical solution. In the case of no axial force...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of non-linear mechanics Vol. 65; pp. 141 - 147
Main Authors Niknam, H., Fallah, A., Aghdam, M.M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2014
Subjects
Analytical solution
Beams (structural)
Bending
Differential equations
Functionally graded beam
Functionally gradient materials
Galerkin method
Galerkin methods
Mathematical analysis
Mathematical models
Nonlinear bending
Nonlinearity
Tapered beam
Nonlinear bending
Functionally graded beam
Galerkin method
Tapered beam
Analytical solution
Online AccessGet full text

Cover

More Information
Summary:Non-linear bending analysis of tapered functionally graded (FG) beam subjected to thermal and mechanical load with general boundary condition is studied. The governing equations are derived and a discussion is made about the possibility of obtaining analytical solution. In the case of no axial force along the beam, a closed form solution is presented for the problem. For the general case with axial force, the Galerkin technique is employed to overcome the shortcoming of the analytical solution. Moreover, the Generalized Differential Quadrature (GDQ) method is also implemented to discretize and solve the governing equations in the general form and validate the results obtained from two other methods. The effects of various thermal and mechanical loading on the nonlinear bending of tapered FG beam are investigated by implementing different analytical and numerical approaches. •Nonlinear bending of tapered FG beams under thermal and mechanical loadings is studied.•Analytical solution is presented for cantilever beam and beams with movable edges.•For immovable edges beam, the Galerkin method is implemented to obtain the results.•The effect of taper ratio on the maximum deflection of the beam is investigated.•Effect of moving edges on the nonlinear behavior of the beam is illustrated.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2014.05.011