Open AccessStudy on thin plates under thermal action
Author(s) -
Weixin Zhang,
LM Yang
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/780/2/022029
Subject(s) - eigenvalues and eigenvectors , zero (linguistics) , torsion (gastropod) , separation of variables , bending , mathematics , mathematical analysis , structural engineering , physics , engineering , boundary value problem , medicine , philosophy , linguistics , surgery , quantum mechanics
Under the Hamilton system, the dual form governing equations of thin plate problems are established using displacements and stresses as the basic variables, and the problem is accordingly transformed into finding the eigenvalues and eigensolutions by adopting the method of separation of variables. Furthermore, solutions for zero eigenvalues and non-zero eigenvalues are systematic studied. The study shows that zero eigensolutions are composed of all the overall deformation solutions such as the traditional tension and bending problems, while non-zero eigensolutions include the torsion and bending groups charactered by local deformations.