Seismic Interaction of Structures and Soils: Stochastic Approach

A study of soil-structure interaction for seismically excited simple structures is made considering both kinematic and inertial interaction effects. The information and concepts presented elucidate the nature and relative importance of the two effects and make it possible to assess readily the influences of the more important parameters. The response quantities examined are the ensemble means of the peak values of the lateral and torsional components of the foundation input motion and of the associated structural deformations. The results are evaluated over wide ranges of the parameters involved and are compared with those obtained for no soil-structure interaction and for kinematic interaction only. Simple, physically motivated interpretations are given for the observed differences. For the important special case of vertically incident incoherent waves, simple closed-form approximate expressions are presented for the transfer functions of circular massless foundations.

[1]  Robert H. Scanlan,et al.  Seismic wave effects on soil‐structure interaction , 1976 .

[2]  H. L. Wong,et al.  Response of a rigid foundation to a spatially random ground motion , 1986 .

[3]  J. W. Meek,et al.  Dynamic behaviour of building‐foundation systems , 1974 .

[4]  W. J. Hall,et al.  Seismic Response Arising from Traveling Waves , 1983 .

[5]  E. Kausel,et al.  Stochastic Deconvolution of Earthquake Motions , 1987 .

[6]  Chin-Hsiung Loh,et al.  Analysis of the spatial variation of seismic waves and ground movements from smart‐1 array data , 1985 .

[7]  Akira Mita,et al.  Response of a circular foundation on a uniform half-space to elastic waves , 1987 .

[8]  Anestis S. Veletsos,et al.  Vibration of viscoelastic foundations , 1974 .

[9]  A. Kiureghian Structural Response to Stationary Excitation , 1980 .

[10]  E. Vanmarcke,et al.  Stochastic Variation of Earthquake Ground Motion in Space and Time , 1986 .

[11]  Masaru Hoshiya,et al.  Evaluation of kinematic interaction of soil-foundation systems by a stochastic model , 1983 .

[12]  J. Luco,et al.  Response of circular foundation to spatially random ground motion , 1987 .

[13]  H. Yamahara GROUND MOTIONS DURING EARTHQUAKES AND THE INPUT LOSS OF EARTHQUAKE POWER TO AN EXCITATION OF BUILDINGS , 1970 .

[14]  M. Novak,et al.  Dam-Foundation Interaction Under Spatially Correlated Random Ground Motion , 1987 .

[15]  E. Vanmarcke On the Distribution of the First-Passage Time for Normal Stationary Random Processes , 1975 .

[16]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .