The convergence and stability of the spline-based differential quadrature method applied to the vibration analysis of rectangular plates with free corners

• Autorzy: Krowiak A.
• Konferencja: Symposium “Vibrations In Physical Systems” (22 ; 19-22.04.2006 ; Będlewo koło Poznania, Polska)
• Języki publikacji: EN

Słowa kluczowe

EN

finite difference method; finite element method; differential quadrature method; DQM; free vibration analysis; spline function

PL

metoda różnic skończonych; metoda elementów skończonych; metoda kwadratur różniczkowych; analiza drgań swobodnych; funkcja sklejana

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2006
• Tom: Vol. 22
• Strony: 197--202
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Krowiak A.

• Politechnika Krakowska, Instytut Informatyki Stosowanej, Al. Jana Pawła II 37, 31-864 Kraków, Tel: [phone]

Bibliografia

• 1. Bellman R., Casti J., Differential quadrature and long term integration, Journal of Mathematical Analysis and Application, 34 (1971) 235–238.
• 2. Shu C., Richards B.E., Application of generalized differential quadrature to solve two dimensional incompressible Nanier- Stokes equations, International Journal for Numerical Methods in Fluids, 15 (1992) 791-798.
• 3. Bert C.W., Malik M., Differential quadrature method in computational mechanics, Applied Mechanics Review, 49 (1996) 1-28.
• 4. Shu C., Du H., A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates, Int. J. Solids Structures, 34 (1997) 837-846.
• 5. Krowiak A., Symbolic computing in spline-based differential quadrature method, submitted for publication.
• 6. Krowiak A., Free vibration analysis of plates by spline-basad differential quadrature method, Proceedings of 8th Conference on Dynamical Systems: Theory and Applications, Łódź 2005, 305-312.
• 7. Shu C., Differential quadrature and its application in engineering, Springer-Verlag, London 2000.
• 8. Leissa A.W., Narita Y., Vibrations of completely free shallow shells of rectangular platforms, Journal of Sound and Vibration, 96 (1984) 207-218.