Comparison of SDQM and FDM in nonlinear free vibration analysis of beam

• Autorzy: Krowiak A.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In the paper the formulation of the differential quadrature method based on spline functions as well as the way of determination of the weighting coefficients are presented. The convergence and accuracy of the method in comparison to the finite difference method are studied on the example of the geometrically nonlinear free vibrations of a beam.

Słowa kluczowe

EN

differential quadrature method; nonlinear vibrations

PL

metoda kwadratur różniczkowych; drgania nieliniowe

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 211--216
• Opis fizyczny: Bibliogr. 6 poz., wykr.

Twórcy

autor

Krowiak A.

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

Bibliografia

• 1. C.W. Bert, M. Malik, Differential quadrature method in computational mechanics, Applied Mechanics Review, 49 (1996) 1-28
• 2. A. Krowiak, Symbolic computing in spline-based differential quadrature method, Commun. Numer. Meth. Engng, 22 (2006) 1097-1107
• 3. A. Krowiak, The Convergence and stability of the spline-based differential quadrature method applied to the vibration analysis of rectangular plates with free corners”, Vibr. physical systems, Poznań – Będlewo 2006, 197-202
• 4. W. Chen, T. Zhong, The Study on the Nonlinear Computations of the DQ and DC Methods, Num. Meth. Partial Diff. Equations, 13 (1997) 57-75
• 5. G. Singh, A.K. Sharma, G.V. Rao, Large-amplitude free vibrations of beams – a discussion on various formulations and assumptions, J. Sound & Vibration, 142 (1990) 77-85
• 6. R. Lewandowski, Free vibrations of structures with cubic non-linearity – remarks on amplitude equation and Rayleigh quotient, Comput. Meth. Appl. Mech. Engrg, 192 (2003) 1681-1709