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Warianty tytułu
Języki publikacji
Abstrakty
The contribution outlines a general modelling method leading from the general equations of thin shells with locally periodic structure to the averaged equations with slowly varying coefficents. The proposed model describes the effects of periodicity cell size on the overall shell response and hence can be applied to the dispersive analysis in dynamic problems.
W pracy przedstawiono metodę prowadzącą od 2D-modelu cienkich powłok o lokalnie periodycznej strukturze do uśrednionych równań o wolno zmiennych współczynnikach. Otrzymane równania opisują wpływ wielkości mikrostruktury na reakcje powłoki i są dogodne zastosowania w analizie zagadnień dynamicznych.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
255--265
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Institute of Mathematics and Computer Science, Częstochowa University of Technology
Bibliografia
- 1. BARON E., WOŹNIAK C, 1995, On the Microdynamics of Composite Plates, Arch. Appł. Mech., 65, 126-133.
- 2. BARON E., JĘDRYSIAK J., 1998, On Vibration of Plates under Periodically Distributed Inertial Loadings, J. Theor. Appl. Mech., 36, 4, 1001-1020.
- 3. CAILLERIE D., 1984, Thin Elastic and Periodic Plates, Math. Mech. Appl. Sci., 6, 159-191.
- 4. JĘDRYSIAK J., 1998a, On Dynamics of Thin Plates with Periodic Microstructure, Engng Trans., 46, 73-87.
- 5. JĘDRYSIAK J., 1998b, Free Vibrations of Thin Periodic Plates, Engng Trans., 46, 89-114.
- 6. JĘDRYSIAK J., WOŹNIAK C, 1995, On the Elastodynamics of Thin Plates with periodic structure, J. Theor. Appl. Mech., 33, 337-349.
- 7. JIKOV V.V., KOZLOV S.M., OLEINIK O.O., 1994, Homogenization of Differential Operators and Integral Functionals, Springer Verlag, Berlin-Heidelberg.
- 8. KOHN R.V., VOGELIUS M., 1984, A New Model for Thin Plates with Rapidly Varying Thickness, Int. J. Solids Structures, 20, 331-350.
- 9. KOITER W.T., 1960, A Consistent First Approximation in the General Theory of Thin Elastic Shells, Proc. IUTAM Symposium Theory of Thin Elastic Shells, Delft 1959, North-Holland, 12-33.
- 10. KOITER W.T., SIMMONDS J.G., 1973, Foundation of Shell Theory, Theor. and Appl. Mech., Proc. 13-th Int. Congress, Springer Verlag, Berlin, 150-176.
- 11. LEWIŃSKI T., TELEGA J.J., 1988, Asymptotic Method of Homogenization of Two Models of Elastic Shells, Arch. Mech., 40, 705-723.
- 12. LUTOBORSKI A., 1985, Homogenization of Linear Elastic Shells, J. Elasticity, 15, 69-87.
- 13. MAZUR-ŚNIADY K., 1993, Macro-Dynamics of Micro-Periodic Elastic Beams, J. Theor. Appl. Mech., 36, 781-793.
- 14. MICHALAK B., 1998, Stability of Elastic Slightly Wrinkled Plates, Acta Mechanica, 130,111-119.
- 15. MICHALAK B., WOŹNIAK C., WOŹNIAK M., 1996, The Dynamic Modelling of Elastic Wavy-Plates, Arch. Appl. Mech., 66, 177-186.
- 16. PIETRASZKIEWICZ W., 1979, Finite Rotations and Lagrangean Description in the Nonlinear Theory of Shells, PWN, Warszawa.
- 17. TOMCZYK B., 1998, Vibrations of Cylindrical Shells with Internal Mesostruc-ture, The 6th Conference "Shell Structures, Theory and Applications'", Gdarisk-Jurata, Poland, edit. J. Chroscielewski and W. Pietraszkiewicz, Technical University of Gdansk.
- 18. WOZNIAK C., 1997, Internal Variables in Dynamics of Composite Solids with Periodic Microstructure, Arch. Mech., 49, 421-441.
- 19. ZEEMAN E.C., 1962, The Topology of the Brain and Visual Perception, in Topology of 3-Manifolds and Related Topics, edit. M.K. Fort, Englewood Cliffs, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM2-0001-0241