The stiffness properties of a finite sized square model element of an isotropic plate under plane stress are presented. The model is a piece of the material itself and not a configuration of bars that replace the material. It is shown that the use of an extra kinematic condition instead of an arbitrary displacement function usually produces better results. An example shows that this extra condition greatly increases the accuracy of the model and so reduces the number of degrees of freedom required to approximate the continuous system. A system of bounding the solution is shown by assigning values to free parameters. Thus the maximum error is known and can be reduced without going to a fine grid.
The derivation of the isotropic square is then expanded to obtain the stiffness matrix of an elemental orthotropic rectangle. The limits of stability for both the isotropic and orthotropic models are investigated. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/37548 |
| Date | January 1965 |
| Creators | Hibbert, Paul D. |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
Page generated in 0.0068 seconds