Explicit stiffness matrices for triangular, plate bending finite elements

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dc.contributor.advisorDoyle, WSen_ZA
dc.contributor.authorHarrison, Robert Leedsen_ZA
dc.date.accessioned2016-01-12T11:15:15Z
dc.date.available2016-01-12T11:15:15Z
dc.date.issued1973en_ZA
dc.description.abstractExplicit stiffness matrices are available for rectangular plate bending elements, rectangular plane stress and plane strain elements and triangular plane stress and plane strain elements. Triangular plate bending elements can at present only be formed by using a numeric algorithm. The explicit version of a stiffness matrix is not only far more simple to program in a computer routine but its execution (as will be shown) requires approximately one twelfth of the time of a numeric version. Rectangular plate bending elements do not have a compliant shape (see definition) so their use is limited to plates which in many cases can be solved by other methods. Judging from the number of attempts to find a successful triangular plate bending element, the simplicity of a triangular shape appeals to most investigators. In the present investigation only triangular elements with a node on each corner and three degrees of freedom at each node will be considered. Some investigators have included extra nodes on the edges and/or at the centroid of the triangle. This is done in order to overcome difficulties experienced in choosing a suitable displacement function for a nine degree of freedom triangle. Except for comparison of results (table 4) such elements will not be considered. An explicit stiffness matrix for a small deflection theory, elastic, isotropic, triangular plate bending element will be developed.en_ZA
dc.identifier.apacitationHarrison, R. L. (1973). <i>Explicit stiffness matrices for triangular, plate bending finite elements</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/16337en_ZA
dc.identifier.chicagocitationHarrison, Robert Leeds. <i>"Explicit stiffness matrices for triangular, plate bending finite elements."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1973. http://hdl.handle.net/11427/16337en_ZA
dc.identifier.citationHarrison, R. 1973. Explicit stiffness matrices for triangular, plate bending finite elements. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Harrison, Robert Leeds AB - Explicit stiffness matrices are available for rectangular plate bending elements, rectangular plane stress and plane strain elements and triangular plane stress and plane strain elements. Triangular plate bending elements can at present only be formed by using a numeric algorithm. The explicit version of a stiffness matrix is not only far more simple to program in a computer routine but its execution (as will be shown) requires approximately one twelfth of the time of a numeric version. Rectangular plate bending elements do not have a compliant shape (see definition) so their use is limited to plates which in many cases can be solved by other methods. Judging from the number of attempts to find a successful triangular plate bending element, the simplicity of a triangular shape appeals to most investigators. In the present investigation only triangular elements with a node on each corner and three degrees of freedom at each node will be considered. Some investigators have included extra nodes on the edges and/or at the centroid of the triangle. This is done in order to overcome difficulties experienced in choosing a suitable displacement function for a nine degree of freedom triangle. Except for comparison of results (table 4) such elements will not be considered. An explicit stiffness matrix for a small deflection theory, elastic, isotropic, triangular plate bending element will be developed. DA - 1973 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1973 T1 - Explicit stiffness matrices for triangular, plate bending finite elements TI - Explicit stiffness matrices for triangular, plate bending finite elements UR - http://hdl.handle.net/11427/16337 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/16337
dc.identifier.vancouvercitationHarrison RL. Explicit stiffness matrices for triangular, plate bending finite elements. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1973 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/16337en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Civil Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherCivil Engineeringen_ZA
dc.titleExplicit stiffness matrices for triangular, plate bending finite elementsen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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