Non-Linear Analysis of a FGM Cantilever Beam Supported on a Winkler Elastic Foundation

Qing Lu Li; Qian Hong Shao

doi:10.4028/www.scientific.net/AMM.602-605.131

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 602-605Non-Linear Analysis of a FGM Cantilever Beam...

Non-Linear Analysis of a FGM Cantilever Beam Supported on a Winkler Elastic Foundation

Abstract:

In the present study, nonlinear bending problem of functionally graded material (FGM) cantilever beams resting on a Winkler elastic foundation under distributed load are discussed. Based on the large deformation theory and considering the axial extension of the beam, the equilibrium equations with geometric nonlinearity of FGM beams subjected to distributed load are established. In the analysis, it is assumed that the material properties of the beam vary continuously as a power function of the thickness. By using shooting method, the nonlinear boundary-value problem is numerically solved as well as the non-linear bending characteristic curves of the deformed beam versus the load are presented. The effects of material gradient property and foundation stiffness parameter on the bending deformation of the beam are discussed in detail.

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Periodical:

Applied Mechanics and Materials (Volumes 602-605)

Pages:

131-134

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.602-605.131

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Online since:

August 2014

Authors:

Qing Lu Li*, Qian Hong Shao

Keywords:

Extensible Beam, Functionally Graded Material (FGM), Large Deformation, Numerical Solution, Shooting Method

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