Dynamic analysis of flexible massive strip–foundations embedded in layered soils by hybrid BEM–FEM

Abstract A study on the dynamic response of flexible massive strip–foundations embedded in layered soils is presented. The foundation is treated with a finite element formulation, while the difficulty in modeling the infinite extent of the soil is overcome by a boundary element formulation. The boundary element method is coupled with the finite element method by enforcing compatibility and equilibrium conditions at the soil–foundation interface. The accuracy of the proposed methodology is verified through comparison with results published for rigid foundations. Emphasis is also placed on parametric studies investigating the effects of salient factors such as foundation flexibility, mass and embedment.

[1]  George D. Manolis,et al.  Boundary element techniques in geomechanics , 1993 .

[2]  George Gazetas,et al.  Analysis of machine foundation vibrations: state of the art , 1983 .

[3]  Kausel Bolt,et al.  Forced vibrations of circular foundations on layered media. , 1974 .

[4]  Hidenori Murakami,et al.  Transmitting boundaries for time-harmonic elastodynamics on infinite domains , 1981 .

[5]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[6]  Moon Kyum Kim,et al.  Three dimensional dynamic response of surface foundation on layered half-space , 2001 .

[7]  T. Cruse,et al.  A direct formulation and numerical solution of the general transient elastodynamic problem. II , 1968 .

[8]  Eduardo Kausel,et al.  Transmitting boundaries: A closed-form comparison , 1981 .

[9]  S. Ahmad,et al.  Dynamic vertical compliance of strip foundations in layered soils , 1989 .

[10]  Benjamin Loret,et al.  A viscous boundary for transient analyses of saturated porous media , 2004 .

[11]  J. Domínguez.  Boundary elements in dynamics , 1993 .

[12]  Ian D. Moore,et al.  Two dimensional transient fundamental solution due to suddenly applied load in a half-space , 1998 .

[13]  Anil K. Chopra,et al.  Numerical evaluation of the damping‐solvent extraction method in the frequency domain , 2002 .

[14]  R. V. Whitman,et al.  SOIL-STRUCTURE INTERACTION. , 1970 .

[15]  S. Ahmad,et al.  HORIZONTAL IMPEDANCE OF EMBEDDED STRIP FOUNDATIONS IN LAYERED SOIL , 1991 .

[16]  Stavros A. Anagnostopoulos,et al.  Computer Analysis and Design of Earthquake Resistant Structures: A Handbook , 1997 .

[17]  Dimitri E. Beskos,et al.  Dynamic response of frameworks by fast fourier transform , 1982 .

[18]  J. Lysmer,et al.  LUSH: A computer program for complex response analysis of soil-structure systems , 1974 .

[19]  Robert V. Whitman,et al.  CLOSURE OF COMPARISON OF FOOTING VIBRATION TESTS WITH THEORY , 1969 .

[20]  F. T. Kokkinos,et al.  Dynamic analysis of flexible strip foundations in the frequency domain , 1991 .

[21]  Steven M. Day,et al.  Seismic Response of Hemispherical Foundation , 1979 .

[22]  Christos Vrettos,et al.  Vertical and rocking impedances for rigid rectangular foundations on soils with bounded non-homogeneity , 1999 .

[23]  Chung Bang Yun,et al.  Earthquake response analysis in the time domain for 2D soil–structure systems using analytical frequency-dependent infinite elements , 2003 .

[24]  J. Wolf.  Dynamic soil-structure interaction , 1985 .

[25]  Toyoaki Nogami,et al.  Boundary differential equation method: simplified dynamic soil stiffnesses for embedded rigid foundations , 2002 .

[26]  C. Spyrakos.  Soil Structure Interaction in Practice , 2003 .

[27]  A. Ugural.  Stresses in plates and shells , 1981 .

[28]  K. P. Jaya,et al.  Embedded foundation in layered soil under dynamic excitations , 2002 .

[29]  Dimitri E. Beskos,et al.  Dynamic response of flexible strip-foundations by boundary and finite elements , 1986 .

[30]  Nasser Khalili,et al.  Dynamic soil–structure interaction analysis via coupled finite-element–boundary-element method , 1999 .

[31]  Mario Paz,et al.  Structural Dynamics: Theory and Computation , 1981 .

[32]  F. E. Richart,et al.  Vibrations of soils and foundations , 1970 .

[33]  Dimitri E. Beskos,et al.  Dynamic response of rigid strip‐foundations by a time‐domain boundary element method , 1986 .

[34]  Constantine C. Spyrakos,et al.  Time domain BEM-FEM seismic analysis including basemat lift-off , 1990 .

[35]  Nenad Gucunski,et al.  Rocking response of flexible circular foundations on layered media , 1996 .

[36]  Moon Kyum Kim,et al.  Dynamic analysis of layered half planes by coupled finite and boundary elements , 2000 .

[37]  S Ahmad,et al.  Horizontal impedance of square foundation in layered soil , 1999 .

[38]  Y. Yong,et al.  Motion of foundation on a layered soil medium — I. Impedance characteristics , 1997 .

[39]  Stavros A. Savidis,et al.  Soil–structure interaction in the time domain using halfspace Green's functions , 2002 .