Local modelling of backfill effects for rigid axisymmetric foundations under dynamic excitation

• Autorzy: Sienkiewicz Z.

Warianty tytułu

PL

Lokalne modelowanie wpływu zasypki na dynamicznie obciążane sztywne osiowo-symetryczne fundamenty

• Języki publikacji: EN

Abstrakty

EN

The influence of backfill on the dynamic response of rigid axisymmetric foundations is described as reaction of an independent layer. It leads to the solution of the kinematic interaction problem by means of the complex stiffness matrix of a supporting medium given by a specific increase in relation to the case of non-embedded foundations. The increases of stiffnesses are obtained in the closed-form from steady-state solutions to the equation of motion of an isotropic homogeneous medium under appropriate displacement boundary and radiation conditions. The approximate modelling is compared with results of the rigorous boundary integral equation approach.

PL

Wpływ zasypki na dynamiczną odpowiedź sztywnych osiowo-symetrycznych fundamentów opisano jako reakcję niezależnej warstwy. Rozwiązanie problemu interakcji kinematycznej dane jest w postaci przyrostu zespolonej macierzy sztywności podłoża względem przypadku fundamentów niezagłębionych. Przyrosty sztywności otrzymano z rozwiązań w dziedzinie częstości równań ruchu izotropowego jednorodnego ośrodka z odpowiednimi przemieszczeniowymi warunkami brzegowymi i warunkami wypromieniowania. Modelowanie przybliżone porównano z wynikami numerycznego rozwiązania problemu w postaci brzegowego równania całkowego.

Słowa kluczowe

EN

kinematic interaction; embedded foundation; backfill; local modelling

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2009
• Tom: Vol. 47 nr 4
• Strony: 923--942
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Sienkiewicz Z.

• Koszalin University of Technology, Department of Civil and Environmental Engineering, Koszalin, Poland,

Bibliografia

• 1. Achenbach J.D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam
• 2. Apsel R.J., Luco J.E., 1987, Impedance functions for foundations embedded in a layered medium: an integral equation approach, Earthquake Engineering and Structural Dynamics, 15, 213-231
• 3. Barros P.L.A., 2006, Impedances of rigid cylindrical foundations embedded in transversely isotropic soils, International Journal of Numerical and Analytical Methods in Geomechanics, 30, 683-702
• 4. Emperador J.M., Dominguez J., 1987, Dynamic response of axisymmetric embedded foundations, Earthquake Engineering and Structural Dynamics, 18, 1105-1117
• 5. Eringen A.C., Suhubi E.S., 1975, Elastodynamics, 2, Academic Press, New York
• 6. Gazetas G., 1991, Formulas and charts for impedances of surface and em- bedded foundations, Journal of Geotechnical Engineering (ASCE), 117, 9, 1363-1381
• 7. Jaya K.P., Prasad A.M., 2002, Embedded foundation in layered soil under dynamic excitations, Soil Dynamics and Earthquake Engineering, 22, 485-496
• 8. Lysmer J., 1980, Foundation vibrations with soil damping, Civil Engineering and Nuclear Power, ASCE, II, paper 10-4, 1-18
• 9. Meek J.W., Wolf J.P., 1994, Cone models for an embedded foundation, Journal of Geotechnical Engineering (ASCE), 120, 1, 60-80
• 10. Mita A., Luco J.E., 1987, Dynamic response of embedded foundations: a hybrid approach, Computer Methods in Applied Mechanics and Engineering, 63, 233-259
• 11. Novak M., Nogami T., Aboul-Ella F., 1977, Dynamic soil reactions for plane strain case, Journal of The Engineering Mechanics Division (ASCE), 104, 953-959
• 12. Prakash S., Puri V.K., 1988, Foundations for Machines: Analysis and Design, Wiley, New York
• 13. Takewaki I., Takeda N., Uetani K., 2003, Fast practical evaluation of soilstructure interaction of embedded structures, Soil Dynamics and Earthquake Engineering, 23, 195-202
• 14. Wolf J.P., 1994, Foundation Vibration Analysis Using Simple Physical Models, Englewood Cliffs, NJ, Prentice Hall
• 15. Wolf J.P., Paronesso A., 1992, Lumped-parameter model for a rigid cylindrical foundations embedded in a soil layer on rigid rock, Earthquake Engineering and Structural Dynamics, 21, 1021-38
• 16. Wolf J.P., Preisig M., 2003, Dynamic stiffness of foundation embedded in layered halfspace based on wave propagation in cones, Earthquake Engineering and Structural Dynamics, 32, 1075-1098
• 17. Wong H.L., Luco J.E., 1976, Dynamic response of rigid foundations of arbitrary shape, Earthquake Engineering and Structural Dynamics, 4, 579-587
• 18. Wu W.-H., Lee W.-H., 2002, Systematic lumped-parameter models for foundations based on polynomial-fraction approximation, Earthquake Engineering and Structural Dynamics, 31, 1383-1412