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

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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.

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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 33, 1991, pp. 78–83.

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Obraztsov, I.F., Nerubailo, B.V. & Ol'shanskii, V.P. On a representation of the Green's functions for shallow panels supported on the boundary of a rectangular base. J Math Sci 65, 1887–1892 (1993).

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  • Fourier
  • Fourier Transform
  • Cylindrical Shell
  • Approximate Representation
  • Double Series