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Some Problems in the Small Deflexions of Clamped Thin Isotropic Plates
Author(s) -
Bassali W. A.
Publication year - 1960
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19600401009
Subject(s) - curvilinear coordinates , conformal map , ellipse , bounded function , isotropy , geometry , mathematics , boundary (topology) , mathematical analysis , boundary value problem , physics , optics
Conformal mapping methods are applied to find exact solutions in finite terms for the small deflexions of certain thin clamped curvilinear plates subject to symmetrical loading distributed over the area of a circle or acted by isolated forces or couples at arbitrary or specified points. Plates bounded by the inverses of an ellipse with respect to internal or boundary points are included. Regular curvilinear polygonal plates bounded by n equal and very approximately circular arcs are also considered.