Element-Free Spline Method for the Vibration Analysis of Functionally Graded Material Plate

Shuang Bei Li; Chun Feng Jia; Lin Jie Jiang; Rong Qin

doi:10.4028/www.scientific.net/AMR.250-253.1899

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 250-253Element-Free Spline Method for the Vibration...

Element-Free Spline Method for the Vibration Analysis of Functionally Graded Material Plate

Abstract:

The element-free spline method is proposed to analyze the vibration of the functionally graded material (FGM) plate with various boundaries. The field functions are constructed by using the linear combination of double B-spline basis functions together with mixed displacement parameters and then an equation based on Reddy's third order plate theory is developed for the vibration analysis of the FGM plate. The validity of the proposed method is illustrated by some numerical examples. Six lower vibration frequencies of FGM plate are calculated under various boundaries and the influence of boundary condition and material gradient on vibration frequencies are also discussed. The proposed method needs less computational cost and has high accuracy.

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Periodical:

Advanced Materials Research (Volumes 250-253)

Pages:

1899-1905

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.250-253.1899

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Online since:

May 2011

Authors:

Shuang Bei Li, Chun Feng Jia, Lin Jie Jiang, Rong Qin

Keywords:

Element-Free Method, FGM Plate, Natural Vibration Frequency, Spline Interpolating Function

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