The finite-element method in plate bending analysis

AuthorPricha Ngaocharoenchitr
Call NumberAIT Thesis no. 297
Subject(s)Elastic plates and shells
NoteA thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand.
PublisherAsian Institute of Technology
AbstractIn this study, a method for the derivation of a triangular plate bending element stiffness matrix based on the principle of minimum potential energy is described. The triangular element is divided into three sub-elements with a quadratic displacement function assumed for each sub-element. This sub-divided element was originally suggested by Shieh, Lee and Parmelee (Ref. 12). A general computer program is written in Fortran IV following the standard displacement method in matrix structural analysis and using the element stiffness matrix derived. Sample problems of plates in bending are investigated. Emphasis is placed on solving a series of clamped square plates of different mesh sizes, subjected to uniform loading. An idea of the accuracy of the solution for each mesh size, and the convergence characteristics of the solutions, is obtained by comparison with an existing analytical series solution. An annular plate supported on a ring of eight equally spaced columns and subjected to a uniformly distributed load is solved to show the applicability of the method. Results are also compared with those of another approach in which stress distributions are assumed in deriving an element stiffness matrix.
Year1970
TypeThesis
SchoolStudent Research Before 1980
DepartmentOther Field of Studies (No Department)
Academic Program/FoSThesis (Year <=1979)
Chairperson(s)McGuire, William
Examination Committee(s)Tongchat Hongladaromp ;Karasudhi, Pisidhi
Scholarship Donor(s)Asian Institute of Technology
DegreeThesis (M. Eng.) - Asian Institute of Technology, 1970


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