Plate Bending Problem for a Finite Doubly Connected Domain with a Partially Unknown Boundary |
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Authors: | G A Kapanadze |
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Institution: | (1) Tbilisi State University, Tbilisi, Georgia |
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Abstract: | The problem of bending of an isotropic elastic plate is solved for a finite doubly connected domain whose external boundary is a convex polygon and internal boundary is a smooth closed contour. The bending problem is reduced to the analytical solution of the Riemann—Hilbert problem for a ring. The deflection of the median surface and the shape of the plate's internal boundary are found |
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Keywords: | plate bending circular ring conformal mapping Riemann— Hilbert problem analytical solution |
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