Unified analysis of the waves in fluids and solids in time domain by spatial network method

Abstract

AbstractWhen a fluid and a solid are in contact, complex and characteristic wave propagation phenomena emerge and their engineering applications are being planned in various areas. This paper presents a method which systematically treats the wave propagation in a fluid and a solid by means of the spatial network method which is a numerical time domain analysis of the wave. In the spatial network method (SNM), the wave field is expressed in terms of an equivalent circuit with one‐dimensional transmission lines. Bergeron's method and the circuit theory are applied to the equivalent circuit so that the time domain response is obtained. Here, the flow and viscosity are neglected in the fluid and lossless isotropic solids are treated. Since the waves in a fluid are scalar and those in a solid are vector, their equivalent circuits are different. Their coupling section becomes important. In order that the waves in a solid and a fluid can be treated systematically, a new equivalent circuit for the waves in a fluid is proposed in which particle velocity nodes are added. (SNM) is applied to basic problems so that its characteristics and validity are determined.