Mathematical Sciences- Journal Articles
http://hdl.handle.net/10468/89
2017-12-11T16:49:24ZThe influence of process parameters on the physical characteristics of ceramic microneedles, evaluated using a factorial design
http://hdl.handle.net/10468/4851
The influence of process parameters on the physical characteristics of ceramic microneedles, evaluated using a factorial design
Carracedo-Taboada, Marta; O'Sullivan, Kathleen; McAuliffe, Michael A. P.; Vucen, Sonja; O'Sullivan, Caroline
Salguero, Jorge; Ares, Enrique
The paper presents the application of the factorial Design of Experiments (DoE) to evaluate the influence of process parameters on the physical characteristics of ceramic microneedles (CMN). In this study, an understanding of the fabrication process was achieved by performing a DoE based on varying two levels of five parameters. Statistical analyses were performed on the data to investigate whether the process parameters have a significant effect on the production of a patch of 25 microneedles (MN) with sharp tips. The study showed that four out of five main effects as well as an interaction between two parameters were significant.
2017-10-05T00:00:00ZThe constrained optimisation of small linear arrays of heaving point absorbers. Part I: The influence of spacing
http://hdl.handle.net/10468/4839
The constrained optimisation of small linear arrays of heaving point absorbers. Part I: The influence of spacing
McGuinness, Justin P. L.; Thomas, Gareth
This paper describes the optimisation of small arrays of Wave Energy Converters (WECs) of point absorber type. The WECs are spherical in shape and operate in heave alone and a linear array of five devices is considered. Previous work is extended by considering the constrained performance of the array members, where an uaniper limit on WEC displacements is enforced. Two opimisations are performed. In each case, the objective function is defined as the mean of the averaged interaction factor ovehe non-dimensional length of the array. The first considers the array layout fixed at a geometry previously identified as optimal in an unconstrained regime and optimises the displacements of the WECs subject to constraints. The second allows both the WEC positions and displacements to vary as optimisation variables. It is shown that the optimal layout of the constrained arrays is different from the unconstrained case. Applying constrained motions results in optimal layouts that are more separated, with less grouping of WECs and this will have practical considerations. The effect of the constraints varies depending on the incident wave angle. In some cases, performance is reduced drastically and stability of performance is improved, while in other cases there is a degradation of performance. Thus, a trade-off between performance and stability of performance is seen when displacement constraints are applied.
2017-07-18T00:00:00ZSpectral data for simply periodic solutions of the sinh-Gordon equation
http://hdl.handle.net/10468/4821
Spectral data for simply periodic solutions of the sinh-Gordon equation
Klein, Sebastian
This note summarizes results that were obtained by the author in his habilitation thesis concerning the development of a spectral theory for simply periodic, 2-dimensional, complex-valued solutions u of the sinh-Gordon equation. Spectral data for such solutions are defined for periodic Cauchy data on a line (following Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization. Using methods of asymptotic estimates, the inverse problem for the spectral data of such Cauchy data is answered. Finally a Jacobi variety for the spectral curve is constructed, and this is used to study the asymptotic behavior of the spectral data corresponding to actual simply periodic solutions of the sinh-Gordon equation on strips of positive height.
2017-04-04T00:00:00ZNonlinearization and waves in bounded media: old wine in a new bottle
http://hdl.handle.net/10468/3772
Nonlinearization and waves in bounded media: old wine in a new bottle
Mortell, Michael P.; Seymour, Brian R.
We consider problems such as a standing wave in a closed straight tube, a self-sustained oscillation, damped resonance, evolution of resonance and resonance between concentric spheres. These nonlinear problems, and other similar ones, have been solved by a variety of techniques when it is seen that linear theory fails. The unifying approach given here is to initially set up the appropriate linear difference equation, where the difference is the linear travel time. When the linear travel time is replaced by a corrected nonlinear travel time, the nonlinear difference equation yields the required solution.
2017-03-01T00:00:00Z