Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods

Hohls, Kirstin

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dc.contributor.advisor	Janse van Rensburg, N.F.J. (Nicolaas)
dc.contributor.postgraduate	Hohls, Kirstin
dc.date.accessioned	2022-02-14T11:17:45Z
dc.date.available	2022-02-14T11:17:45Z
dc.date.created	2022
dc.date.issued	2021
dc.description	Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2021.	en_ZA
dc.description.abstract	The aim of the dissertation was to conduct a literature study on mathematical modelling, numerical computation and mathematical analysis of a linear and nonlinear Timoshenko model for the vibration of a rod with an axial force. Our attention is restricted to linear and semi-linear Timoshenko models for small oscillations. Simplified theories such as the Euler- Bernoulli theory are possible, but are not considered. An important objective of the study is the comparison of different models for the same application by theoretical analysis as well as simulation using the finite element method.	en_ZA
dc.description.availability	Unrestricted	en_ZA
dc.description.degree	MSc (Applied Mathematics)	en_ZA
dc.description.department	Mathematics and Applied Mathematics	en_ZA
dc.description.sponsorship	NRF	en_ZA
dc.identifier.citation	*	en_ZA
dc.identifier.other	A2022	en_ZA
dc.identifier.uri	http://hdl.handle.net/2263/83864
dc.language.iso	en	en_ZA
dc.publisher	University of Pretoria
dc.rights	© 2022 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
dc.subject	Applied Mathematics	en_ZA
dc.subject	UCTD
dc.title	Analysis of linear and nonlinear mathematical models for beams, cables, columns and rods	en_ZA
dc.type	Dissertation	en_ZA