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A problem of the bending of a plate for a doubly-connected domain bounded by polygons

โœ Scribed by G.A. Kapanadze

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
279 KB
Volume
66
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The problem of the bending of an isotropic elastic plate, bounded by hvo convex polygons is considered. It is assumed that the internal boundary of the plate is simply supported and normal bending moments act on each section of the external contour in such a way that the angle of rotation of the middle surface of the plate is a piecewise-constant function. With respect to the complex potentials, which express the bendings of the middle surface (Goursat's formula), the problem is reduced to a Riemann-Hilbert boundary-value problem for a circular ring, the solution of which is constructed in analytic form. Estimates are given of the behaviour of these potentials in the neighbourhood of the corner points.

๐Ÿ“œ SIMILAR VOLUMES

A problem of the bending of a plate for
A problem of the bending of a plate for a doubly connected domain with a partially unknown boundary
โœ G.A. Kapanadze ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 329 KB

The problem of the bending of an isotropic elastic plate, bounded by two rectangles with vertices lying on the same half-line, drawn from the common centre, is considered. The vertices of the inner rectangle are cut by convex smooth arcs (we will call the set of these arcs the unknown part of the bo