Free vibration of structures by radial basis function – pseudospectral method

• Autorzy: Krowiak A.
• Konferencja: Symposium “Vibrations In Physical Systems” (26 ; 04-08.05.2014 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the use of the radial basis function-pseudospectral method in vibration analysis of twodimensional mechanical structures. The method combines meshless features of radial basis function (RBF) with efficiency and simplicity of the pseudospectral method. In present work the main emphasis is laid on appropriate assumption of the interpolant for the sought function due to the number of the boundary conditions in analysed problem. This interpolation function enables to obtain the weighting coefficients for derivative approximation in a governing equation. The method is applied to free vibration analysis of arbitrarily shaped membrane and plate.

Słowa kluczowe

EN

meshless methods; radial basis function; pseudospectral methods

PL

metody bezsiatkowe; radialna funkcja bazowa; metoda pseudospektralna

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2014
• Tom: Vol. 26
• Strony: 113--120
• Opis fizyczny: Bibliogr. 9 poz., il., 1 wykr.

Twórcy

autor

Krowiak A.

• Cracow University of Technology, Institute of Computing Science, Al. Jana Pawła II 37, 31-864 Kraków, Poland

Bibliografia

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• 2. G.R. Liu, Meshlees Methods – Moving beyond the Finite Element Method, CRC Press, Boca Raton, Florida, 2003.
• 3. M.D. Buhmann, Radial Basis Functions: Theory and Implementations, Cambridge University Press, Cambridge 2003.
• 4. R.L. Hardy, Multiquadric equations of topography and other irregular surfaces, J. Geophysics Res. 176 (1971) 1905-1915
• 5. G.E. Fasshauer, Meshfree Approximation Methods with Matlab, World Scientific Publishing, Singapore, 2007.
• 6. A.J.M Ferreira, G.E. Fasshauer, Analysis of natural frequencies of composite plates by an RBF-pseudospectral method, Compos. Struct., 79 (2007) 202-210.
• 7. A. Krowiak, Hermite type RBF-DQ method applied to vibration analysis of plates, Proceedings of the 12th Conference on Dynamical Systems: Theory and Applications, Łódź 2013, 391-400.
• 8. M. Malik, C.W. Bert, Vibration analysis of plates with curvilinear quadrilateral planforms by DQM using blending functions, J. Sound Vib., 230 (2000) 949-954.
• 9. S.W. Kang, J.M. Lee, Y.J. Kang, Vibration analysis of arbitrarily shaped membranes using non-dimensional dynamic influence function, J. Sound Vib., 221 (1999) 117-132.