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Green's functions for thin perforated elastic slabs
Author(s) -
Bassali W. A.
Publication year - 1960
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300001649
Subject(s) - mathematics , curvilinear coordinates , geometry , enhanced data rates for gsm evolution , point (geometry) , symmetry (geometry) , mathematical analysis , telecommunications , computer science
SUMMARY An exact expression in finite terms is found for the small deflexion at any point of an infinitely large plate clamped along an inner curvilinear edge, with outer edge free, and loaded by a concentrated force at an arbitrary point of the plate. The plate can be mapped on the area outside the unit circle by a rational mapping function involving two parameters. By varying these parameters holes having various shapes and several axes of symmetry are obtained. Infinite plates with holes in the forms of regular and approximately rectilinear polygons are included as special cases.