An investigation into the Winkler modeling of the cyclic response of rigid footings

Abstract The response of shallow foundations under lateral cyclic loading is generally nonlinear and involves rocking, sliding, settlement, and may also involve foundation uplift and soil yielding. Unlike pile foundations, the nonlinear Winkler model is not widely used for modeling cyclic soil–footing–structure interaction (SFSI) problems. Nonetheless, it has some important features that make it more attractive than conventional finite element approaches, and is a recommended approach in the FEMA 356 design guideline. This paper explores the strengths and limitations of the FEMA 356 nonlinear Winkler modeling approach, when used in predicting the cyclic response of various recent SFSI experiments. The results of the study show that the model is capable of satisfactorily predicting all the different cyclic response quantities apart from permanent horizontal displacements. This should therefore be noted when using the approach in design.

[1]  Ricardo O. Foschi,et al.  COUPLED P-Y T-Z ANALYSIS OF SINGLE PILES IN COHESIONLESS SOIL UNDER VERTICAL AND/OR HORIZONTAL GROUND MOTION , 2005 .

[2]  Xiangwu Zeng,et al.  Bearing capacity failure of shallow foundations in earthquakes , 1998 .

[3]  Tara C. Hutchinson,et al.  Centrifuge modeling of load-deformation behavior of rocking shallow foundations , 2005 .

[4]  Y. Lai,et al.  Seismic response of bridge piers on elasto-plastic Winkler foundation allowed to uplift , 2003 .

[5]  Colin Anthony Taylor,et al.  Shaking table test of failure of a shallow foundation subjected to an eccentric load , 2000 .

[6]  Mark Randolph,et al.  A comparison of the combined load behaviour of spudcan and caisson foundations on soft normally consolidated clay , 2004 .

[7]  Jonathan Knappett,et al.  Mechanisms of failure for shallow foundations under earthquake loading , 2006 .

[8]  Mark Cassidy,et al.  A plasticity model for the behaviour of footings on sand under combined loading , 2002 .

[9]  Ioannis N. Psycharis,et al.  Rocking of slender rigid bodies allowed to uplift , 1983 .

[10]  G. Housner The behavior of inverted pendulum structures during earthquakes , 1963 .

[11]  Anil K. Chopra,et al.  Earthquake response of structures with partial uplift on winkler foundation , 1984 .

[12]  Arnold D. Kerr,et al.  TESTS AND ANALYSES OF FOOTINGS ON A SAND BASE , 1989 .

[13]  Eduardo Kausel,et al.  Approximate formulas for dynamic stiffnesses of rigid foundations , 1988 .

[14]  B. Kutter,et al.  Soil-Foundation-Structure Interaction (Shallow Foundations) , 2002 .

[15]  A. Filiatrault,et al.  Effect of weak foundation on the seismic response of core wall type buildings , 1992 .

[16]  Jiro Takemura,et al.  Effects of Footing Size and Aspect Ratio on the Bearing Capacity of Sand Subjected to Eccentric Loading , 2002 .

[17]  Guido Gottardi,et al.  A complete three-dimensional failure envelope for shallow footings on sand , 1994 .

[18]  Roberto Paolucci,et al.  Simplified evaluation of earthquake induced permanent displacements of shallow foundations , 1997 .

[19]  Mihailo D. Trifunac,et al.  REDUCTION OF STRUCTURAL DAMAGE BY NONLINEAR SOIL RESPONSE , 1999 .

[20]  Ezio Faccioli,et al.  Investigation of Seismic Soil-Footing Interaction by Large Scale Cyclic Tests and Analytical Models , 2001 .

[21]  Donald L Anderson Effect of foundation rocking on the seismic response of shear walls , 2003 .

[22]  Wai-Fah Chen,et al.  Bearing Capacity of Shallow Foundations , 1991 .

[23]  Diego Carlo Lo Presti,et al.  Large-Scale Geotechnical Experiments on Soil-Foundation Interaction (TRISEE Task 3) , 1998 .

[24]  Alain Pecker,et al.  Cyclic macro‐element for soil–structure interaction: material and geometrical non‐linearities , 2001 .

[25]  M. Hesham El Naggar,et al.  Analytical moment–rotation curves for rigid foundations based on a Winkler model , 2003 .

[26]  P. K. Banerjee,et al.  Behavior of axially loaded pile group under lateral cyclic loading , 2003 .