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Free axisymmetric vibration of FGM circular plates

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Abstract

Based on the three-dimensional theory, this work presents a direct displacement method to investigate the free axisymmetric vibration of transversely isotropic circular plates, whose material is functionally graded and properties obey the exponential law along the thickness direction of the plate. Under two boundary conditions, the solution satisfies all basic equations and the corresponding boundary condition at every point. Thus, it is three-dimensional exact. Numerical examples are presented and compared with previous works. The present method can also be extended to the case of arbitrary distribution of the material properties along the thickness direction of the plate.

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Authors and Affiliations

  1. Department of Civil Engineering, Zhejiang University, Zijingang Campus, Hangzhou, 310058, P. R. China

    Yun Wang  (王云), Rong-qiao Xu  (徐荣桥) & Hao-jiang Ding  (丁皓江)

  2. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, 310018, P. R. China

    Yun Wang  (王云)

Authors
  1. Yun Wang  (王云)
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  2. Rong-qiao Xu  (徐荣桥)
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  3. Hao-jiang Ding  (丁皓江)
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Corresponding author

Correspondence to Rong-qiao Xu  (徐荣桥).

Additional information

Contributed by Hao-jiang DING

Project supported by the National Natural Science Foundation of China (Nos. 10872180 and 10725210)

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Wang, Y., Xu, Rq. & Ding, Hj. Free axisymmetric vibration of FGM circular plates. Appl. Math. Mech.-Engl. Ed. 30, 1077–1082 (2009). https://doi.org/10.1007/s10483-009-0901-x

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  • DOI: https://doi.org/10.1007/s10483-009-0901-x

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Chinese Library Classification

2000 Mathematics Subject Classification

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