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Tytuł artykułu

Solution of plate free vibrations problem by method of fundamental solutions

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Warianty tytułu
Konferencja
Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
Języki publikacji
EN
Abstrakty
EN
In this paper, a meshless method for solving the natural vibration of plates problem is proposed. For this particular problem the method of fundamental solutions has been implemented. due to its features, the final resolving system can be solved with the classical approaches by using standard numerical procedures. To asses the formulation, the free vibration of some plates were calculated and the results compared with those obtained using other solution techniques. The present results are in good agreement with those found in the literature showing the accuracy and effectiveness of the proposed approach.
Rocznik
Tom
Strony
383--388
Opis fizyczny
Bibliogr. 9 poz., rys.
Twórcy
  • Poznan University of Technology, Institute of Applied Mechanics, ul. Piotrowo 3, 60-965 Poznan, Poland
Bibliografia
  • 1. R. A. Gingold, H. Maragham, Smoothed particle hydrodynamics: theory and applications to non-spherical stars. Monthly Notices of the Royal Astronomical Society, 181 (1977) 375-89.
  • 2. T. Belystcho, Y. Lu, L. Gu, Element free Galerkin methods. Int J Numer Meth Engng, 37 (1995) 229-56.
  • 3. W. K. Liu, S. Jun, Y. F. Zhang, Reproducing kernel particle method, Int J Numer Meth Engng, 20 (1995) 1081-1106.
  • 4. Y. X. Mukherjee, S. Mukherjee, The boundary node method for potential problems. Int J Numer Meth Engng, 40 (1997) 797-815.
  • 5. S. N. Atluri, T. A. Zhu, A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput Mech, 22 (1998) 117-27.
  • 6. V. Sladek, J. Sladek, S. N. Atluri, R. Van Keer, Numerical integration of singularities in meshless implementation of local boundary integral equations. Comput Mech, 25 (2000) 394-403.
  • 7. C. S. Chen, Y. F. Rashed, M. A. Golgerg, A meshless free method for linear diffusion equations. Numer Heat Transfer, part B, 33 (1998) 469-86.
  • 8. R. L. Hardy, Multiquadric equations of topography and other irregular surfaces. Journal of Geophysics Research, 176 (1971) 1905-15.
  • 9. J. T. Chen, I. L. Chen, K. H. Chen, Y. T. Lee, Y. T. Yeh, A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function, Engineering Analysis with Boundary Elements, 28 (2004) 535- 545.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9e461580-e248-4c98-8404-26bc3b6ebc05
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