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arXiv · 1503.02088

Shive wave machines: Wave propagation, dispersion, reflection, simulation / Die Wellenmaschine: Grundlagen der Wellenausbreitung, Dispersion, Reflexion, Simulation

Tilman Kuepper
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Abstract

Shive wave machines have found their place in physics courses for many years now. They are used to demonstrate the propagation, interference and reflection of waves. Physical quantities like frequency, wavelength and phase speed are usually only determined experimentally. This article shows - starting from the wave machine's mechanical characteristics - how to calculate these physical quantities. Absorbers are also briefly described in this article. They can be used to prevent reflection at the end of the apparatus. A nice(-looking) project for computer programming courses is to simulate wave machines and to display an animated representation of the simulation results. Details on the development of such software are summarized at the end of this article. ----- Wellenmaschinen werden seit vielen Jahren im Physikunterricht eingesetzt, um die Ausbreitung, \"Uberlagerung und Reflexion von Wellen anschaulich vorzuf\"uhren. Physikalische Gr\"o{\ss}en wie Schwingungsfrequenz, Wellenl\"ange und Phasengeschwindigkeit werden \"ublicherweise experimentell ermittelt. Der vorliegende Artikel zeigt, dass - ausgehend von den technischen Daten der Wellenmaschine - auch eine Berechnung dieser charakteristischen Gr\"o{\ss}en m\"oglich ist. D\"ampfungseinrichtungen zur Verhinderung der Reflexion einlaufender Wellen werden ebenfalls betrachtet. Ein im wahrsten Sinne des Wortes sch\"ones Projekt f\"ur den Informatikunterricht ist die Simulation von Wellenmaschinen am Computer mit einer animierten Darstellung der Simulationsergebnisse. Einige Details hierzu sind gegen Ende dieses Artikels zusammengestellt.

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Tilman Kuepper. 2015-03-06. Shive wave machines: Wave propagation, dispersion, reflection, simulation / Die Wellenmaschine: Grundlagen der Wellenausbreitung, Dispersion, Reflexion, Simulation. https://arxiv.org/abs/1503.02088

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