AN AXIOMATIC SOLUTION FOR ONE DIMENSIONAL FINITE SPACE ELASTO-DYNAMIC PROBLEM AND ITS APPLICATION TO FREE FIELD

The axiomatic solution process for a one dimensional finite space elastic dynamic boundary value problem can be given by using Laplace transform under the premise of uniform convergence of series, and this process can be a supplement of the work of famous scholars such as Lavrentieff and Hilbert. This solution can be used for the free field analysis in geotechnical engineering, and it can also avoid truncation error in principle. The method in this paper has significantly higher efficiency than that of the finite element method in the calculation for a specific problem, and it can make up for the disadvantage of the existing free field dedicated calculation software which cannot calculate pure elastic bodies to a certain extent. Also, as an analytical algorithm, the method has some significance for the precision analysis of numerical algorithm.