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Mixed Boundary Value Problem of Plate Bending
Author(s) -
Kutnjak Milan
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310497
Subject(s) - biharmonic equation , bending of plates , boundary value problem , mathematics , plate theory , mathematical analysis , bending , boundary (topology) , mixed boundary condition , geometry , structural engineering , engineering
The bending problem of thin plates is presented through biharmonic equations expressed in terms of plate deflections. The theory of analytical functions is used to transform the problem to the Hilbert boundary value problem. The stress and deformation state of the plate is descibed by analitical functions which satisfy mixed boundary conditions. A circular plate with corresponded boundary conditions is treated.