부산대학교 도서관

Summary: ``Pseudo spectral methods offer an attractive alternative to finite element procedures for the solution of problems in elasticity. Especially for simple domains, questions involving both two- and three-dimensional elasticity (Navier's equations or their non-linear generalisations) would seem to be reasonable candidates for a pseudo-spectral approach. This paper examines some simple vibrational eigenvalue type problems, demonstrating how Navier's equations can be recast into pseudo-spectral format, including first derivative boundary conditions representing zero traction. Fourier-Chebyshev methods are shown to give solutions with typical spectral accuracy, with the addition of pole conditions being necessary for the case of a two-dimensional disc. There is also consideration given to time-stepping solutions of elastodynamic problems, especially those involving non-linear friction effects; the authors particular interest being the study of disc brake noise. It is shown that, at least for relatively simple cases, it is possible to model systems in such a way that animated graphical output can be provided as the system of partial differential equations is numerically integrated. This provides a useful tool for engineers to rapidly examine the effect of parameter changes on a system model.''