Symplectic integrators for cascade of mass-spring system

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

Słowa kluczowe

EN

mass-spring-damper systems; one-dimensional cascades; numerical method; Runge-Kutta method

PL

systemy tłumienno-sprężynowe; kaskady jednowymiarowe; metoda numeryczna; metoda Rungego-Kutty

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2006
• Tom: Vol. 22
• Strony: 155--160
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Jopek H.

• Institute of Applied Mechanics, Poznan University of Technology, ul. Piotrowo 3, 60-965 Poznan, Poland

autor

Stręk T.

• Institute of Applied Mechanics, Poznan University of Technology, ul. Piotrowo 3, 60-965 Poznan, Poland

Bibliografia

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• [Bav2000] H. Bavinck , H.A. Dieterman, Closed-form dynamic response of damped mass-spring cascades, J. Comput. Appl. Math. 114 (2000) pp.291-303.
• [Can1991] J. Candy and R. Rozmus, "A symplectic integration algorithm for separable Hamiltonian functions". J. Comput. Phys. 92, 1991, 230-256.
• [Hai1993] E. Hairer, S. P. Nørsett and G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, Springer-Verlag, Berlin, 2nd edn., 1993.
• [Hai1996] E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin, 2nd edn., 1996.
• [Ode2003] J.T. Oden, T. Belytschko, I. Babuska and T.J.R. Hughes, Research directions in computational mechanics, Comput. Methods Appl. Mech. Engrg. 192 913-922 (2003).
• [Ste1985] D. Stevenson, Floating-Point Working Group, Microprocessor Standards Subcommittee. IEEE standard for binary floating point arithmetic (IEEE/ANSI 754-1985). Technical report, IEEE (1985).
• [Yos1990] H. Yoshida, Construction of high order symplectic integrators. Phys. Lett. A. 150, 1990, 262-268.
• [Wol2004] S. Wolfram, The Mathematica Book, 5th ed., Wolfram Media/Cambridge University Press, Champaign/Cambridge (2004).