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The complex variable boundary element method for solving sandwich plate problems

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Abstract

The objective of this paper is to develop a new complex variable boundary element method for sandwich plates of Reissner's type and Hoff's type. The general solution of Helmhotz equation in complex field is given. Based on the Vekua's complex integral representation of the analytic function, the new boundary integral equations are formulated. The density function in the integral equation is determined directly by boundary element method. Some standard examples are presented, and the results of numerical solutions are accurate everywhere in the plate. The approach presented is only applicable for bounded simply connected regions.

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References

  1. Vekua, I. N. New Methods for Solving Elliptic Equations, (1967).

  2. Muskhellishvili, N. I., Singular Integral Equations: Boundary Problems of Function Theory and their Application to Mathematical Physis, 3rd ed., (1968) (in Russian).

  3. The Bending, Stability and Vibration of Sandwich Plate and Shell, Science Press, (1977) (in Chinese).

  4. Hromadka Il, T. V., The Complex Variable Boundary Element Method, Springer-Verlag, (1984).

  5. Hromadka II, T. V., and Guymon, G. L., A complex variable boundary element method: development.Int. J. Num. Meth. Eng.,20, (1984), 25–37.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hromadka, T. V. and Guymon G. L., A complex variable boundary element method: appleations,Int. J. Num. Meth. Eng.,21, (1985), 1013–1025.

    Article  MATH  Google Scholar 

  7. Hu Haichang, On some problems of sandwich plate.Acta Mechanica Sinica 6,1 (1965) (in Chinese).

  8. Liu Chuntu, On the transformation of the governing equations of sandwich plate,Acta Mechanica Sinica,8, 4 (1965) (in Chinese).

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Authors and Affiliations

  1. Department of Modern Mechanics, University of Science and Technology of China, China

    Gu Lei & Huang Maokuang

Authors
  1. Gu Lei
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  2. Huang Maokuang
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Additional information

The project is supported by the National Science Foundation of China.

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Lei, G., Maokuang, H. The complex variable boundary element method for solving sandwich plate problems. Acta Mech Sinica 6, 50–58 (1990). https://doi.org/10.1007/BF02488458

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  • DOI: https://doi.org/10.1007/BF02488458

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