부산대학교 도서관

Summary: ``Pseudo spectral methods offer an attractive alternative tofinite element procedures for the solution of problems inelasticity. Especially for simple domains, questions involving bothtwo- and three-dimensional elasticity (Navier's equations or theirnon-linear generalisations) would seem to be reasonable candidates fora pseudo-spectral approach. This paper examines some simplevibrational eigenvalue type problems, demonstrating how Navier'sequations can be recast into pseudo-spectral format, including firstderivative boundary conditions representing zerotraction. Fourier-Chebyshev methods are shown to give solutions withtypical spectral accuracy, with the addition of pole conditions beingnecessary for the case of a two-dimensional disc. There is alsoconsideration given to time-stepping solutions of elastodynamicproblems, especially those involving non-linear friction effects; theauthors particular interest being the study of disc brake noise. It isshown that, at least for relatively simple cases, it is possible tomodel systems in such a way that animated graphical output can beprovided as the system of partial differential equations isnumerically integrated. This provides a useful tool for engineers torapidly examine the effect of parameter changes on a system model.''