Stability Analyses of a Moving Rectangular Plate by the Element Free Galerkin Method

Yan Wang; Zhong Min Wang

doi:10.4028/www.scientific.net/AMR.594-597.2651

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 594-597Stability Analyses of a Moving Rectangular Plate...

Stability Analyses of a Moving Rectangular Plate by the Element Free Galerkin Method

Abstract:

The element-free Galerkin method is proposed to solve the stability of the moving rectangular plates. Utilizing the extended Hamilton’s principle for the elastic dynamics system, the variational expression of the moving thin plate are established. The dimensionless equations of motion of the moving thin plate are obtained by the element-free Galerkin method, and the complex eigenvalue equation is presented. Via numerical calculation, the variation relationship between the first three complex frequencies of the system and the moving speed is obtained. The effects of dimensionless moving speed on the stability and critical load of the thin plates are analyzed.

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Periodical:

Advanced Materials Research (Volumes 594-597)

Pages:

2651-2654

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.594-597.2651

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Online since:

November 2012

Authors:

Yan Wang, Zhong Min Wang

Keywords:

Element Free Galerkin Method, Moving Plate, Stability

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