Wave propagation in elastic solids : Achenbach, JD Textbook. North Holland, Amsterdam, 1973, 439P

Abstract

Abstract : This thesis presents a model which simulates the scattering from a fluid loaded I-beam and the resultant behavior due to fluid-structure interaction. Chapter I gives an overview of the problem and describes the characteristics of the solid and fluid, the aspects of periodicity, boundary conditions and the coupling of the two media. The governing equations of motion are scaled in Chapter II. In Chapter III, the finite difference formulae for these equations are derived, as is the non-local radiation boundary condition. Difference formulas for typical boundary points of the solid and corner nodes are also derived. All finite difference formulae used are presented in Appendix C. Chapter IV contains numerical results. Conclusions are drawn and areas of the problem that would require further study are in Chapter V. Finite difference approximation of irregularly shaped domains; wave propagation in solids; wave propagation in fluids; fluid structure interaction; finite difference approximations of a nonlocal radiation boundary condition.