Discrete model for dynamic through-the-soil coupling of 3-D foundations and structures

Earthquake Engineering and Structural Dynamics

Volumn 27, Issue 7, 1998, Pages 687-710

  Mulliken, Jeffrey S ^a   Karabalis, Dimitris L ^b  

^a LPA Group Inc   (United States)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); DYNAMIC RESPONSE; FOUNDATIONS; MATHEMATICAL MODELS; SOIL MECHANICS; STIFFNESS; TIME DOMAIN ANALYSIS;

FREQUENCY INDEPENDENT STIFFNESS; THROUGH THE SOIL INTERACTION;

SOIL STRUCTURE INTERACTIONS;

DYNAMIC RESPONSE; SOIL STRUCTURE INTERACTION;

EID: 0032124335     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9845(199807)27:7<687::AID-EQE752>3.0.CO;2-O     Document Type: Article

References (37)

1. J. Qian and D. E. Beskos, 'Dynamic interaction between 3-D rigid surface foundations and comparison with the ATC-3 provisions', Earth. Engng. Struct. Dyn. 24, 419-437 (1995).
2. J. Qian and D. E. Beskos, 'Harmonic wave response of two 3-D rigid surface foundations', Soil Dyn. Earth. Engng. 15, 95-110 (1996).
3. M. Mohammadi and D. L. Karabalis, 'Dynamic 3-D soil-railway track interaction by BEM-FEM', Earth. Engng. Struct. Dyn. 24, 1177-1193 (1995).
4. J. Lysmer and F. E. Richart, 'Dynamic response of footings to vertical loading', J. Soil Med. Found. Div. ASCE 92 (SM 1), 65-91 (1966).
5. R. V. Whitman, 'The current status of soil dynamics', Appl. Mech. Rev. 22, 1-8 (1969).
6. F E. Richart, J. R. Hall and R. D. Woods, Vibrations of Soils and Foundations, Prentice-Hall, Englewood Cliffs, N.J., 1970.
7. N. M. Newmark and E. Rosenblueth, Fundamentals of Earthquake Engineering, Prentice-Hall, Englewood Cliffs, N.J., 1971.
8. G. Gazetas, 'Analysis of machine foundation vibrations: state of the art review', Soil Dyn. Earth. Engng. 2, 2-42 (1983).
9. J. P. Wolf, Dynamic Soil-Structure Interaction, Prentice-Hall Englewood Cliffs, N.J., 1985.
10. J. P. Wolf, Soil-Structure-Interaction Analysis in Time Domain, Prentice-Hall, Englewood Cliffs, N.J., 1988.
11. J.W. Meek and A. S. Veletsos, 'Simple models for foundations in lateral and rocking motion', Proc. 5th World Conf. on Earth. Engng. vol. 2, 1973, pp. 2610-2613.
12. F. C. P. De Barros and J. E. Luco, 'Discrete models for vertical vibrations of surface and embedded foundations', Earth. Engng. Struct. Dyn. 19, 289-303 (1990).
13. J. P. Wolf and D. R. Somaini, 'Approximate dynamic model of embedded foundation in time domain', Earth. Engng. Struct. Dyn. 14, 683-703 (1986).
14. J. P. Wolf and A. Paronesso, 'Lumped-parameter model for foundation on layer', Proc. 10th European Conf on Soil Mech. Engng., vol. 1, 1991, pp. 287-290.
15. J. P. Wolf and A. Paronesso, 'Lumped-parameter model for a rigid cylindrical foundation embedded in a soil layer on rigid rock', Earth. Engng. Struct. Dyn. 21, 1021-1038 (1992).
16. J. P. Wolf, 'Consistent lumped-parameter models for unbounded soil: physical representation', Earth. Engng. Struct. Dyn. 20, 11-32 (1991).
17. J. P. Wolf, 'Consistent lumped-parameter models for unbounded soil: frequency-independent stiffness, damping and mass matrices', Earth. Engng. Struct. Dyn. 20, 33-41 (1991).
18. G. B. Warburton, J. D. Richardson and J. J. Webster, 'Forced vibrations of two masses on an elastic half space', J. Appl. Mech. ASME 38, 148-156 (1971).
19. G. B. Warburton, J. D. Richardson and J. J. Webster, 'Harmonic responses of masses on an elastic half space', J. Engng. Ind. ASME 194, 193-200 (1972).
20. P. B. MacCalden and R. B. Matthiesen, 'Coupled response of two foundations', Proc. 5th World Conf. on Earthquake Engng., vol. 2, 1973, pp. 1913-1922.
21. T. Triantafyllidis, 'Dynamic stiffness of rigid rectangular foundations on the half-space', Earth. Engng. Struct. Des. 14, 391-441 (1986)
22. T. Triantafyllidis and B. Prange, 'Dynamic subsoil coupling between rigid, rectangular foundations', Soil Dyn. Earth. Engng. 6, 164-179 (1987).
23. F. Guan and M. Novak, 'Transient response of multiple rigid foundations on an elastic, homogeneous half-space', Trans. ASME 61, 656-663 (1994).
24. F. Guan and M. Novak, 'Transient Response of an elastic homogeneous half-space to suddenly applied rectangular loading', Trans. ASME 61, 256-263, (1994).
25. C.-F. D. Huang, 'Dynamic soil-foundation and foundation-soil-foundation interaction in 3-D', Ph.D. Dissertation, Dept. Civil Engng., Univ. South Carolina, Columbia, 1993.
26. D. L. Karabalis and C.-F. D. Huang, '3-D foundation-soil-foundation interaction', in C. A. Brebbia and A. J. Kassab (eds), Boundary Element Technology IX (BETECH 94), CMP, Southampton, 1994, pp. 197-209.
27. D. L. Karabalis and M. Mohammadi, '3-D dynamic foundation-soil-foundation interaction on a layered soil medium', in B. H. V. Topping (ed.), Advances in Boundary Element Methods, Civil-Comp Press, Edinburgh, 1996, pp. 73-80.
28. M. Mohammadi and D. L. Karabalis, '3-D dynamic foundation-soil foundation interaction on layered soil', Soil Dyn. Earth. Engng., in print.
29. J. Luco and L. Contesse, 'Dynamic structure-soil-structure interaction', Bull. Seism. Soc. Am. 63, 1289-1303 (1973)
30. H. L. Wong and M. D. Trifunac, 'Two-dimensional, antiplane, building-soil-building interaction for two or more buildings and for incident plane SH waves', Bull. Seism. Soc. Am. 65, 1863-1885 (1975).
31. H Murakami and J. Luco, 'Seismic response of a periodic array of structures', J. Engng. Mech. Div. ASCE 103, 965-977 (1977).
32. T. H. Lee and D. A. Wesley, 'Soil-structure interaction of nuclear reactor structures considering through-soil coupling between adjacent structures', Nucl. Engng. Des. 24, 374-387 (1973).
33. M. Paz, Structural Dynamics Theory and Computation, 3rd edn, Van Nostrand Reinhold, New York, 1991
34. J. S. Mulliken, 'Discrete models for foundation-soil-foundation interaction in time domain', M.S. Thesis, Dept. of Civil Engineering, Univ. of South Carolina, 1994.
35. J. S. Mulliken and D. L. Karabalis, 'Discrete model for foundation-soil-foundation interaction', in A. S. Cakmak and C. A. Brebbia (eds), Soil Dynamics and Earthquake Engineering VII, CMP, Southampton, 1995, pp. 501-508.
36. D. L. Karabalis and D. E. Beskos, 'Numerical methods in earthquake engineering', in D. E Beskos and S. A. Anagnostopoulos (eds), Computer Analysis and Design in Earthquake Resistant Structures: A Handbook, Chapter 1, CMP, Southampton, 1997, pp. 1-102.
37. J. Lysmer, Tabatabaie-Raissi, M. Tajirian, F Vahdani and F. Ostadan, 'SASSI - a system for analysis of soil-structure interaction', Report UCB/GT/81-02, Geot. Engng, Univ. of California, Berkeley, 1981.