Wybrane uwagi o analizie dynamicznej ciała sztywnego i powłok sprężystych

• Autorzy: Chróścielewski J. , Lubowiecka I.
• Konferencja: Problemy Dynamiki Konstrukcji / XI Międzynarodowe Sympozjum Dynamiki Konstrukcji (XI ; 25-27. 09. 2002 ; Rzeszów-Arłamów, Polska)
• Języki publikacji: PL

Abstrakty

EN

The fundamental assumption of this paper is the analogy between the dynamics of a rigid body and of an elastic shell structure. These structures belong to a class of non linear dynamical systems whose configuration space includes a product of Euclidean space with the rotation group. The particular care is exercised towards approximation in space and in time domain with the discussion on stability and correctness of the solutions. On the grounds the six-field shell theory, a formal structure of the initial-boundary problem, descending from the extension of the existing results in the statics of the hyper-elastic shells, is presented. By building into the proposed algorithm to our own existing software, some numerical simulations of motion of a rigid body and of shell structures are presented and discussed.

Słowa kluczowe

PL

ciało sztywne; powłoka sprężysta; dynamika konstrukcji

EN

rigid body; elastic shell; design dynamics

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
• Rocznik: 2002
• Tom: z. 60 [197]
• Strony: 77--84
• Opis fizyczny: Bibliogr. 14 poz., rys., wykr.

Twórcy

autor

Chróścielewski J.

• Politechnika Gdańska, Katedra Mostów

autor

Lubowiecka I.

• Politechnika Gdańska, Katedra Mechaniki Budowli

Bibliografia

• 1. Lubowiecka I., Całkowanie nieliniowych dynamicznych równań ruchu w mechanice konstrukcji. Dynamika powłok sprężystych. (rozprawa doktorska) Politechnika Gdańska, 2001, 1-142.
• 2. Libai A., Simmonds J.G., The Nonlinear Theory of Elastic Shells, 2nd ed. Cambridge, Cambridge University Press, 1998.
• 3. Chrościelewski J., Makowski J., Stumpf H., „Genuinely resultant shell finite elements accounting for geometric and material non-linearity”, International Journal for Numerical Methods in Engineering, 35, 1992, 63-94.
• 4. Chrościelewski J., Rodzina elementów skończonych klasy C0 w nieliniowej sześcioparametrowej teorii powłok, Zeszyty Naukowe Politechniki Gdańskiej, Budownictwo Lądowe LIII, 540, 1996, 1-291.
• 5. Chrościelewski J., Makowski J., Stumpf H., „Finite element analysis of smooth, folded and multi-shell structures”, Computer Methods in Applied Mechanics and Engineering, 141, 1997, 1-46.
• 6. Chrościelewski J., Makowski J., Pietraszkieiwcz W., „Large overall motion of flexible branched shell structures”, (ed) Ambrosio J.A.C., Kleiber M., Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion, NATO ARW, Pułtusk, July 2-7, IDMEC Lisboa 2000, 201-218.
• 7. Cardona C., Geradin C., “A beam finite element non-linear theory with finite rotations”, International Journal for Numerical Methods in Engineering, 26, 1988, 2403-2438.
• 8. Simo J.C., Vu-Quoc L., “On the dynamics in space of rods undergoing large motions a geometrically exact approach”, Computer Methods in Applied Mechanics and Engineering, 66, 1988, 125-161.
• 9. Simo J.C., Wong K.K., “Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum”, International Journal for Numerical Methods in Engineering, 31, 1991, 19-52.
• 10. Lubowiecka I., Chrościelewki J., “On dynamics of flexible branched shell structures undergoing large overall motion using finite elements”, Computers and structures, 80, 2002, 891-898.
• 11. Belytschko T., Schoeberle D.F., “On the unconditional stability of an implicit algorithm for nonlinear structural dynamics” ASME Journal of Applied Mechanics, 42, 1975, 765-769.
• 12. Kuhl D., Crisfield M.A., “Energy-conserving algorithms in non-linear structural dynamics”, International Journal for Numerical Methods in Engineering, 45, 1999, 569-599.
• 13. Kuhl D., Ramm E., “Constraint energy momentum algorithm and its application to non-linear dynamics of shells”, Computer Methods in Applied Mechanics and Engineering, 136, 1996, 293-315.
• 14. MacNeal R.H., Harder R.L., “A proposed standard set of problems to test finite element accuracy”, Finite elements in Analysis and Design, 1, 1985, 3-20.