Browsing Department of Materials Science and Metallurgy by Subject "asymptotic analysis"
Now showing items 1-5 of 5
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An Analytic Solution for Gust-Aerofoil Interaction Noise Including Effects of Geometry
(Oxford University PressIMA Journal of Applied Mathematics, 2016)An analytic solution is obtained for the sound generated by gust-aerofoil interaction for aerofoils with thickness, camber, and angle of attack. The model is based on the linearisation of the Euler equations about a steady ...
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Asymptotic Analysis of Asymmetric Thin Sheet Rolling
(ElsevierInternational Journal of Mechanical Sciences, 2016-04-22)An analytical model for asymmetric rolling is presented, which includes asymmetry in roll friction, roll size and roll speed, for a rigid, perfectly-plastic thin sheet deformed with Coulomb friction. This model is solved ...
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Asymptotic analysis of cold sandwich rolling
(ElsevierInternational Journal of Mechanical Sciences, 2015-12-22)An analytical model for the cold rolling of sandwich sheets is proposed, assuming a rigid-plastic flow rule and Coulomb friction. Asymptotic analysis is used to solve the equations based on the assumptions of small aspect ...
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High accuracy computational methods for the semiclassical Schrödinger equation
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics (DAMTP)King's College, 2018-04-28)The computation of Schrödinger equations in the semiclassical regime presents several enduring challenges due to the presence of the small semiclassical parameter. Standard approaches for solving these equations commence ...
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Mathematical modelling of asymmetrical metal rolling processes
(University of CambridgeDAMTPJesus College, 2017-12-05)This thesis explores opportunities in the mathematical modelling of metal rolling processes, specifically asymmetrical sheet rolling. With the application of control systems in mind, desired mathematical models must make ...