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Simulation of Simple One-Dimensional Wave Processes

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The Wave Finite Element Method

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

The propagation of elastic waves associated with longitudinal and torsional oscillation of rod-like bodies and transverse oscillation of thin stretched strips, strings, and cables is described mathematically by identical equation system - both in the differential form and by a finite element wave approach. The characteristic parameters are the unique internal force factor and one component of particle velocity. The time-independent speed of wave propagation has a known constant direction, though it may vary on specific elements. The specified generality of given problems allows them to be united in common group of simple one-dimensional wave processes.

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© 2004 Springer-Verlag Berlin Heidelberg

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Shorr, B.F. (2004). Simulation of Simple One-Dimensional Wave Processes. In: The Wave Finite Element Method. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44579-1_3

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  • DOI: https://doi.org/10.1007/978-3-540-44579-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53605-2

  • Online ISBN: 978-3-540-44579-1

  • eBook Packages: Springer Book Archive

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