Nonlinear Model for Building‐Soil Systems
Publication: Journal of Engineering Mechanics
Volume 120, Issue 5
Abstract
A finite‐element based, numerical analysis methodology has been developed for the nonlinear analysis of building‐soil systems. The methodology utilizes a reduced‐order, nonlinear continuum model to represent the building, and the soil is represented with a simple nonlinear two‐dimensional plane strain finite element. The foundation of the building is idealized as a rigid block and the interface between the soil and the foundation is modeled with an interface contact element. The objectives of the current paper are to provide the theoretical development of the system model, with particular emphasis on the modeling of the foundation‐soil contact, and to demonstrate the special‐purpose finite‐element program that has been developed for nonlinear analysis of the building‐soil system. Examples are included that compare the results obtained with the special‐purpose program with the results of a general‐purpose nonlinear finite‐element program.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chajes, M. J., Romstad, K. M., and McCallen, D. B. (1990). “Inelastic frame analysis using a continuum model.” Proc., 1990 Annu. Tech. Session, Structural Stability Research Council, St. Louis, Mo., 109–120.
2.
Chajes, M. J., Romstad, K. M., and McCallen, D. B. (1993). “Analysis of multiple bay frames using continuum model.” J. Struct. Engrg., ASCE, 119(2), 522–546.
3.
El Hifnawy, L., and Novak, M. (1986). “Uplift in seismic response of pile supported buildings.” Earthquake Engrg. and Struct. Dynamics, Vol. 14, 573–593.
4.
Englemann, B., and Hallquist, J. O. (1991). “NIKE2D—a nonlinear, implicit, two‐dimensional finite element code for solid mechanics.” Rep. UCRL‐MA‐105413, Lawrence Livermore National Laboratory, Livermore, Calif.
5.
Herrmann, L. R. (1978). “Finite element analysis of contact problems.” J. Engrg. Mech. Div., ASCE, 104(5), 1043–1057.
6.
Housner, G. W. (1963). “The behavior of inverted pendulum structures during earthquakes.” Bull. Seismological Soc. of Am., 53(2), 403–417.
7.
Hucklebridge, A. A., and Clough, R. W. (1978). “Seismic response of uplifting building frame.” J. Struct. Div., ASCE, 104(8), 1211–1229.
8.
Ibrahimbegovic, A. A., and Wilson, E. L. (1990). “A methodology for dynamic analysis of linear structure‐foundation systems with local non‐linearities.” Earthquake Engrg. and Struct. Dynamics, Vol. 19, 1197–1208.
9.
Maker, B. W., Ferencz, R. M., and Hallquist, J. O. (1991). “NIKE3D—a nonlinear, implicit, three dimensional finite element code for solid and structural mechanics.” Rep. UCRL‐MA‐105268, Lawrence Livermore National Laboratory, Livermore, Calif.
10.
Meek, J. W. (1975). “Effects of foundation tipping on dynamic response.” J. Struct. Div., ASCE, 101(7), 1297–1311.
11.
McCallen, D. B., and Romstad, K. M. (1988). “A continuum model for the nonlinear analysis of beam‐like lattice structures.” Computers and Struct., 29(2), 177–197.
12.
McCallen, D. B., and Romstad, K. M. (1990). “A continuum model for lattice structures with geometric and material nonlinearities.” Comput. and Struct., 37(5), 795–822.
13.
McCallen, D. B., and Romstad, K. M. (1993a). “A nonlinear model for building‐soil systems. Part I: formulation.” Rep. UCRL‐JC‐112107 part I, Lawrence Livermore National Laboratory, Livermore, Calif.
14.
McCallen, D. B., and Romstad, K. M. (1993b). “A nonlinear model for building‐soil systems. Part II: application.” Rep. UCRL‐JC‐112107 part II, Lawrence Livermore National Laboratory, Livermore, Calif.
15.
Ozdemir, H. (1976). “Nonlinear transient dynamic analysis of yielding structures,” PhD dissertation, University of California, Berkeley, Calif.
16.
Psycharis, I. N., and Jennings, P. C. (1983). “Rocking of slender rigid bodies allowed to uplift.” Earthquake Engrg. and Struct. Dynamics, Vol. 11, 57–76.
17.
Wolf, J. P. (1976). “Soil‐structure interaction with separation of base mat from soil (lifting‐off).” Nuclear Engrg. and Design, Vol. 38, 357–384.
18.
Wolf, J. P., and Skrikerud, P. E. (1978). “Seismic excitation with large overturning moments: tensile capacity, projecting base mat or lifting‐off.” Nuclear Engrg. and Design, Vol. 50, 305–321.
19.
Yim, C. S., and Chopra, A. K. (1985). “Simplified earthquake analysis of multistory structures with foundation uplift.” J. Struct. Engrg., ASCE, 111(12), 2708–2731.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 5 • May 1994
Pages: 1129 - 1152
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Oct 27, 1992
Published online: May 1, 1994
Published in print: May 1994
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.