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Boundary element method for solving dynamical response of viscoelastic thin plate (I)

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Abstract

In this paper, a boundary element method for solving dynamical response of viscoelastic thin plate is given. In Laplace domain, we propose two methods to approximate the fundamental solution and develop the corresponding boundary element method. Then using the improved Bellman's numerical inversion of the Laplace transform, the solution of the original problem is obtained. The numerical results show that this method has higher accuracy and faster convergence.

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References

  1. B. Sun, et al., Boundary element analysis of transient response for two-dimensional viscoelastic structures,Shanghai Mechanics,11, 1 (1990), (in Chinese)

    Google Scholar 

  2. B. Sun, et al. Boundary element analysis of transient response for multiphase viscoelastic structures,Computational Structure Mechanics and Applications,7 (1990), 19–21. (in Chinese)

    MATH  Google Scholar 

  3. T. Yang, Dynamic responses of axisymmetrical problems for a viscoelastic plate on a viscoelastic foundation,Acta Mechanica Sinica,22, 2 (1990), 217-222.

    Google Scholar 

  4. P. Gu and J. Zhu, Study of approximate fundamental solution of orthogonal polynomials in dynamical BEM,Computational Structure Mechanics and Applications,7, 4 (1990), 65–72. (in Chinese)

    Google Scholar 

  5. F. Durbin, Numberical inversion of Laplace transform: An efficient improvement to Dubher and Abate's method,The Computer Journal,17 (1974), 371–376.

    MATH  MathSciNet  Google Scholar 

  6. M. K. Miller and W. T. Guy, Numerical inversion of the Laplace transform by use of Jacobi polynomials,SIAM J. Numer. Anal.,3, 4 (1966), 624–635.

    Article  MATH  MathSciNet  Google Scholar 

  7. R. Bellman, R. E. Kalaba and J. Lockett,Numerical Inversion of the Laplace Transform, Amer. Elsevier Publ. Co. (1966).

  8. C. A. Brebbia,Boundary Element Techniques: Theory and Applications in Engineering, Springer-Verlag (1984).

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Authors and Affiliations

  1. Department of Mechanics, Lanzhou University, 730000, Lanzhou, PR China

    Ding Rui, Zhu Zhengyou & Cheng Changjun

  2. Shanghai Inst. of Appl. Math. and Mech., 200072, Shanghai, PR China

    Zhu Zhengyou & Cheng Changjun

Authors
  1. Ding Rui
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  2. Zhu Zhengyou
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  3. Cheng Changjun
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Project supported by the National Natural Science Foundation of China

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Rui, D., Zhengyou, Z. & Changjun, C. Boundary element method for solving dynamical response of viscoelastic thin plate (I). Appl Math Mech 18, 229–235 (1997). https://doi.org/10.1007/BF02453365

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  • DOI: https://doi.org/10.1007/BF02453365

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