On a representation of the Green's functions for shallow panels supported on the boundary of a rectangular base

Autor: Obraztsov, I. F., Nerubailo, B. V., Ol'shanskii, V. P.
Zdroj: Journal of Mathematical Sciences; July 1993, Vol. 65 Issue: 5 p1887-1892, 6p
Abstrakt: To enhance the convergence of double series in the case of a shallow panel supported on a rectangular base and a long closed cylindrical shell we propose an approximate representation of the Green's function as a combination of rapidly convergent expansions and a closed-form analytic component obtained by approximate summation of one particular part of series using the two-dimensional integral Fourier transform and reduction to the Kelvin functions.
Databáze: Supplemental Index