Stiffness and mass matrices of FEM applicable dynamic infinite element with united shape basis

• Autorzy: Kazakov K.
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the construction and evaluation of mass and stiffness matrices of elastodynamic four and five node infinite elements with united shape functions (EIEUSF), recently proposed by the author. Such elements can be treated as family elastodynamic infinite elements appropriate for multi-wave soil-structure interaction problems. The common characteristic of the proposed infinite elements is the so-called united shape function, based on finite number of wave shape functions. The idea and the construction of the united shape basis are described in brief. This element belongs to decay class infinite elements. It is shown that by appropriate mapping functions the formulation of such an element can be easily transformed to a mapped form. The results obtained using the proposed infinite elements are in a good agreement with the superposed results obtained by series of standard computational models. The continuity along the finite/infinite element (artificial boundary) line in two-dimensional substructure models is also discussed in brief. In this type of computational models such a line marks the artificial boundary between the near and the far field of the model.

Słowa kluczowe

EN

infinite elements; finite element method; soil-structure interaction; wave propagation; mapping functions

PL

propagacja fali; elastodynamika

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 1
• Strony: 189--200
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Kazakov K.

• VSU "Luben Karavelov" Structural Mechanics Department, VSU "Luben Karavelov" 175' Suhodolska str, 1373 Sofia, BULGARIA,

Bibliografia

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• Kazakov K. (2005): An adequate computational model of the infinite soil for Soil-Structure Interaction Problems. - Proceedings of X Congress of Applied Mechanics, BAS, Varna, 2005.
• Kazakov K. (2005): On the model of elastodynamical infinite element for the far field in Soil-Structure Interaction problems. - Proceedings of National Conference with International Participation of VSU "L. Karavelov", 2005.
• Wolf J.P. and Song C. (1996): Finite-element modeling of unbounded media. - England: Wiley.
• Yan Ch.B., Kim D.K. and Kim J.N. (2000): Analytical frequency-dependent infinite elements for soil-structure interaction analysis in two-dimensional medium. - Engineering Structures, vol.22, pp.258-271.
• Zienkiewicz O.C., Bando K., Bettess P., Emson C. and Chiam T.C. (1985): Mapped infinite elements for exterior wave problems. - International Journal for Numerical Methods in Engineering, vol.21, No.7, pp.1229-1251.