Dual, J.

Traveling Waves in Rods and Cylindrical Shells

in Handbook of Elastic Properties of Solids Liquids and Gases, edited by Levy, Bass and Stern, Vol. I Dynamic Methods for Measuring the Elastic Properties of Solids, p. 227-236, Academic Press, 2001

Abstract

The propagation of traveling waves in structures is described by the frequency spectrum, which relates the complex wavenumber to the circular frequency. Typically,for a given structure an infinite number of modes exist. The frequency spectrum is theoretically determined as a function of geometry and viscoelastic properties of the material. On the other hand it can be measured by observing waves traveling along the structure and applying Fourier analysis and linear prediction to the experimental data. If the geometry is known, from the measured frequency spectrum the viscoelastic properties are determined by solving an inverse problem. As different material constants affect different ranges of wavelength, with a physical understanding of the mode behaviour, elastic constants are determined with high precision. For example transversely isotropic circular cylindrical shells are described, which are fully characterized by five independent elastic constants. This is a good model for unidirectionally reinforced composite materials.

03/15/2002 | compiled by Stephan Kaufmann | ZfM | ETH