The finite element method in plate bending analysis : triangular elements with assumed stress distributions

AuthorSong, Terng-fen
Call NumberAIT Thesis no. 294
Subject(s)Plates (Engineering)
NoteA thesis submitted in partial fulfillment of the requirements 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 plate element stiffness matrices based on the principle of minimum complementary energy using assumed stress distributions is described. The method was developed originally by PIAN (1964) in dealing with problems of plane stress and then extended by SEVERN and TAYLOR (1966) to problems concerning plate bending. Examples of square plates in bending are investigated. Emphasis is placed on solving a series of clamped square plates of various mesh sizes subjected to uniform loading. An idea of the accuracy of each mesh size is obtained by comparison with a known analytical series solution. The finite element solution shows an improvement in structural analysis when the element stiffness matrices satisfy both internal equilibrium and displacement compatibility with adjacent elements. Results are compared with those of another approach in which a displacement function is employed.
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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