Pressure instrumentation in explosive forming : the non-linear transient displacement of a circular plate
dc.contributor.author | Smaill, J. S. | en |
dc.date.accessioned | 2013-03-22T01:19:05Z | |
dc.date.available | 2013-03-22T01:19:05Z | |
dc.date.issued | 1984 | en |
dc.description.abstract | The use of explosive forming for small production runs has been considered suitable for New Zealand manufacturing. A literature review of the explosive forming process establishes the need for instrumentation that enables the loading of the workpiece to be determined, particularly that associated with the workpiece/energy transfer medium interaction. Because of the magnitude of the initial shock wave the development of a pressure transducer based upon the non-linear deflection of a circular clamped plate or plate/dielectric foundation is considered. A modal analysis of the linear response of a clamped plate or plate/foundation system with viscous damping and subject to a transient loading is derived. The Winkler and Pasternak models were used to represent the foundation behaviour. To determine the non-linear response of both a rigidly fixed edge and a simply supported immovable edge plate for similar conditions to those applied to the modal analysis a numerical program is developed. The spatial domain is modelled by central finite differences with a time element method giving a resultant recurrence scheme which is used in the time domain. An analysis of the effect of viscous damping on the stability of a range of three point schemes is derived for a single degree of freedom system and the results presented. For a range transient loads a strong correlation was obtained between the linear deflection results determined from numerical program and the modal analysis. The dynamic non-linear deflection of the plate and plate/foundation system is presented for step loads and a transient exponentially decaying load. | en |
dc.identifier.uri | http://hdl.handle.net/10092/7518 | |
dc.identifier.uri | http://dx.doi.org/10.26021/3200 | |
dc.language.iso | en | |
dc.publisher | University of Canterbury. Mechanical Engineering | en |
dc.relation.isreferencedby | NZCU | en |
dc.rights | Copyright J. S. Smaill | en |
dc.rights.uri | https://canterbury.libguides.com/rights/theses | en |
dc.title | Pressure instrumentation in explosive forming : the non-linear transient displacement of a circular plate | en |
dc.type | Theses / Dissertations | |
thesis.degree.grantor | University of Canterbury | en |
thesis.degree.level | Doctoral | en |
thesis.degree.name | Doctor of Philosophy | en |
uc.bibnumber | 141812 | |
uc.college | Faculty of Engineering | en |
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