DOI QR코드

DOI QR Code

Dynamic analysis of 3-D structures with adaptivity in RBF of dual reciprocity BEM

  • Razaee, S.H. (Department of Civil Engineering, Engineering Faculty, Tehran University) ;
  • Noorzad, A. (Department of Civil Engineering, Engineering Faculty, Tehran University)
  • 투고 : 2005.12.02
  • 심사 : 2008.03.07
  • 발행 : 2008.05.30

초록

A new adaptive dual reciprocity boundary element method for dynamic analysis of 3-D structures is presented in this paper. It is based on finding the best approximation function of a radial basis function (RBF) group $f=r^n+c$ which minimize the error of displacement field expansion. Also, the effects of some parameters such as the existence of internal points, number of RBF functions and position of collocation nodes in discontinuous elements are investigated in this adaptive procedure. Three numerical examples show improvement in dynamic response of structures with adaptive RBF in dual reciprocity with respect to ordinary BEM.

키워드

참고문헌

  1. Agnantiaris, J.P., Polyzos, D. and Beskos, D.E. (1996), "Some studies on dual reciprocity BEM for elastodynamic analysis", Comput. Mech., 17, 270-277 https://doi.org/10.1007/BF00364830
  2. Agnantiaris, J.P., Polyzos, D. and Beskos, D.E. (1998), "Three-dimensional structural vibration analysis by the Dual Reciprocity BEM", Comput. Mech., 21, 372-381 https://doi.org/10.1007/s004660050314
  3. Agnantiaris, J.P., Polyzos, D. and Beskos, D.E. (2001), "Free vibration analysis of non-axisymetric and axisymetric structures by the dual reciprocity BEM", Eng. Anal. Bound. Elem., 25, 713-723 https://doi.org/10.1016/S0955-7997(01)00065-0
  4. Dominguez, J. (1992), Boundary Elements in Dynamics. Computational Mechanics Publications and Elsevier
  5. Golberg, M.A., Chen, C.S. and Karur, S.R. (1996), "Improved multiquadric approximation for partial differential equations", Eng. Anal. Bound. Elem., 18, 9-17 https://doi.org/10.1016/S0955-7997(96)00033-1
  6. Golberg, M.A., Chen, C.S., Bowman, H. and Power, H. (1998), "Some comments on the use of radial basis functions in the dual reciprocity method", Comput. Mech., 22, 61-69 https://doi.org/10.1007/s004660050339
  7. Jumarchon, B. and Amini, S. (1999), "Towards a convergence analysis for the dual reciprocity method", In: Brebbia, C.A., Power, H., editors. Boundary Elements XXI. Southampton, Boston: WIT Press
  8. Leissa, A. and Zhang, Z. (1983), "Three-dimensional vibrations of the cantilever rectangular parallelepiped", J. Acoust. Soc. Am.,73(6), 2013-2021 https://doi.org/10.1121/1.389568
  9. Nardini, D. and Brebbia, C.A. (1982), "A new approach to free vibration analysis using boundary elements", In: Brebbia, C.A., editor. Boundary Element Methods in Engineering. Berlin: Springer, 313-326
  10. Partridge, P.W. (1997), "Approximation functions in the dual reciprocity method", Bound. Elem. Commun., 8, 1-4
  11. Partridge, P.W. (2000), "Towards criteria for selecting approximation functions in the Dual Reciprocity Method", Eng. Anal. Bound. Elem., 24, 519-529 https://doi.org/10.1016/S0955-7997(00)00032-1
  12. Wang, H.C. and Banerjee, P.K. (1988), "Axisymmetric free-vibration problems by boundary element method", J. Appl. Mech., 55, 437-442 https://doi.org/10.1115/1.3173695
  13. Wang, H.C. and Banerjee, P.K. (1990), "Free vibration of axisymmetric solids by BEM using particular integrals", Int. J. Numer. Meth. Eng., 29, 985-1001 https://doi.org/10.1002/nme.1620290506
  14. Wilson, R.B., Miller, N.M. and Banerjee, P.K. (1990), "Free vibration analysis of three-dimensional solids by BEM", Int. J. Numer. Meth. Eng., 29, 1737-1757 https://doi.org/10.1002/nme.1620290809
  15. Zhao, Z. and Wang, X. (1999), "Error estimation and h adaptive boundary elements", Eng. Anal. Bound. Elem., 23, 793-803 https://doi.org/10.1016/S0955-7997(99)00047-8