A research report submitted to the Faculty of Engineering and the Built Environment, University of the Witwatersrand, Johannesburg, in partial fulfilment of the requirements for the degree of Master of Science in Engineering, August 2019 / An extension to classical lamination theory (CLT) is presented to analyse the natural fre-
quencies and critical buckling loads of simply supported functionally graded plates. The
variation of the through-thickness properties of the plate is governed by a power law which
is subsequently represented by a polynomial series of su cient order and varies according
to the law of mixtures or the Mori-Tanaka Homogenization method. The sti ness matrices
are found, from which the position of the neutral plane is established which allows for the
governing equations for the natural frequency and critical buckling load to be derived using
the Rayleigh-Ritz method. The natural frequency and critical buckling loads are determ-
ined for various volume indices, aspect and span ratios and the accuracy thereof is validated against 2D, 3D and quasi-3D solutions found in literature. A comparison with CLT found
that the present study produces natural frequencies and critical bucking loads which are more
accurate and which converge faster than CLT. / NG (2020)
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/29151 |
| Date | 08 1900 |
| Creators | Catanho, R.V. |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource (x, 93 leaves), application/pdf, application/pdf |
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