GROUND COMPLIANCE OF RECTANGULAR FOUNDATION

Abstract

The dynamic response of foundations on soil have attracted the interest of the earthquakeengineers. This kind of problem has been almost confined to the circular foundation case, owingto the complexities of the mathematics involved, since E. Reissner investigated such a problemas the elastic half-space problem excited by circular surface loading in 1936. The study present-ed here is devoted mainly to the determination of the ground compliance when the loading areais rectangular, because foundations of structures are generally rectangular and seldom circular.First of all, the formal solutions of the elastic half-space were obtained by using the multi-ple Fourier transform techniques under the various boundary loading conditions. Then theground compliances of the rectangular foundation were shown in terms of doubly infinite inte-grals and their numerical evaluation represented the most difficult task of this study.The numerical values of the ground compliances were evaluated by the special techniquefor integrating over the pole and by the digital computor. According to the numerical resultsin case of the vertical loading, the ground compliance was expressed as the real part fi~ and