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Erschienen in: Journal of Engineering Mathematics 1/2018

04.07.2018

Green’s functions for problems that simulate potential fields in thin-walled structures of irregular configuration

verfasst von: Y. A. Melnikov, V. N. Borodin

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2018

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Abstract

Matrices of Green’s type are targeted, for the first time, for a specific class of boundary–contact value problems which arise in studying potential fields induced in thin plate and shell assemblies of irregular configuration. A specific semi-analytic approach is proposed for evaluation of such matrices. It is based on our modification of the classical Kupradze’s method of functional equations. The approach appears workable for a broad range of the indicated problem settings. Representing the key component in the approach, matrices of Green’s type are analytically constructed to a number of boundary–contact value problems stated for relevant compound regularly configurated assemblies. This is accomplished prior to the actual computer work maintaining a solid background for fast and accurate solution of targeted problems.

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Metadaten
Titel
Green’s functions for problems that simulate potential fields in thin-walled structures of irregular configuration
verfasst von
Y. A. Melnikov
V. N. Borodin
Publikationsdatum
04.07.2018
Verlag
Springer Netherlands
Erschienen in
Journal of Engineering Mathematics / Ausgabe 1/2018
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-018-9966-6

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