DYNAMICAL CHARACTERISTICS OF BUILDING FOUNDATIONS SUPPORTED ON SOIL GROUNDS TO BE EVALUATED AS MIXED-BOUNDARY-VALUE PROBLEMS

Derivation of Analytical and Numerical Solutions for Dynamical Stiffness of Soil Grounds or Continuous-Underground Walls to be excited by Sinusoidal Loading

Abstract

In theoretical and applied mechanics are there many problems with mixed-boundary values. It is difficult to solve them analytically. These days FEM technics are used to solve them. FEM technics could give numerical answers under some assumption on the modeling to be analyzed. But it is a demanding job to evaluate errors of the numerical results. In this paper analytical solutions and their numerical results of a mixed-boundary-value problem have been derived. The authors have used some kinds of potential functions with Fourier-Transform technics for deriving analytical and numerical solutions on the interaction between the building foundation and the surrounding soil ground. They propose that these results gained above could be standards of judgment for FEM's accuracy, too.