The Nonlinear Dynamic Response of Functionally Graded Material Flat Spherical Shells

Yao Dai; Xiao Hong; Jun Feng Liu; Lei Zhang

doi:10.4028/www.scientific.net/AMR.479-481.1399

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 479-481The Nonlinear Dynamic Response of Functionally...

The Nonlinear Dynamic Response of Functionally Graded Material Flat Spherical Shells

Abstract:

The response of functionally graded material (FGM) flat spherical shell under mechanical loading is studied using the method of lines. Based on the Kirchhoff straight normal hypothesis and Von Karman's geometrically nonlinear theory, the governing equations of the response of FGM flat spherical shells are obtained. A semi-analytical numerical method, i.e. the method of lines was introduced, and then the partial differential equations were transformed into ordinary differential ones. The effects of the material gradient parameters on the responses are discussed in details. The numerical results of flat spherical shells are given and compared with the finite element method ones.

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Periodical:

Advanced Materials Research (Volumes 479-481)

Pages:

1399-1402

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.479-481.1399

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Online since:

February 2012

Authors:

Yao Dai, Xiao Hong, Jun Feng Liu, Lei Zhang

Keywords:

FGM, Flat Spherical Shell, Method of Lines, Nonlinear Dynamic Response

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