scholarly journals Similarity Method in Constructing Fundamental Solution of the Dirichlet Problem for Equation of Keldysh Type in Half-Space

Author(s):  
О Д Алгазин ◽  
2019 ◽  
Vol 12 (3) ◽  
pp. 605-720 ◽  
Author(s):  
José María Martell ◽  
Dorina Mitrea ◽  
Irina Mitrea ◽  
Marius Mitrea

2014 ◽  
Vol 124 (2) ◽  
pp. 175-178 ◽  
Author(s):  
DEWU YANG ◽  
YUDONG REN
Keyword(s):  

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
Jinjin Huang ◽  
Lei Qiao

A solution of the Dirichlet problem on the upper half-space is constructed by the generalized Dirichlet integral with a fast-growing continuous boundary function.


2012 ◽  
Vol 204-208 ◽  
pp. 210-214
Author(s):  
Man Qing Xu ◽  
Bin Xu

Based on Biot’s theory and integral transform method, the velocity of moving loads impact on the vibration isolation effect of pile rows embedded in a poroelastic half space is investigated in this study. The free field solution for a moving load applied on the surface of a poroelastic half space and the fundamental solution for a harmonic circular patch load applied in the poroelastic half space are derived first. Using Muki’s method and the fundamental solution for the circular patch load as well as the obtained free field solution for the moving load, the second kind of Fredholm integral equation in the frequency domain describing the dynamic interaction between pile rows and the poroelastic half space is developed. Numerical solution of the frequency domain integral equation and numerical inversion of the Fourier transform yield the time domain response of the pile-soil system. Numerical results of this study show that the same pile rows can achieve a better vibration isolation effect for the lower load speed than for the higher speed. Also, the optimal length of piles for higher speed moving loads is shorter than that for lower speed moving loads.


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