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A Discrete Model of a Struck String

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A computer program that implements a discrete model of a plucked string has been extensively modified to allow the modelling of a struck string. The model allows the hammer to strike the string at any one of ninety nine possible positions along the string with a given initial velocity and mass. Output information includes the displacement against time waveforms for the hammer and the string at the struck point, and the times at which the hammer and string make and break contact. Agreement of the model output with published experimental results appears to vary with the method of the experimenter. Several sets of results show good agreement, however, with differences of less than 2%.

Zusammenfassung

Ein Computer-Modell einer gezupften Saite wurde dergestalt modifiziert, daß es eine Modellrechnung für eine angeschlagene Saite gestattete. Das Modell erlaubt es, die Saite an einer beliebigen von neunundneunzig möglichen Stellen mit einem Hammer gegebener Anfangsgeschwindigkeit und Masse anzuschlagen. Die Ausgabedaten enthalten Darstellungen der Auslenkung am Anschlagpunkt sowohl für den Hammer als auch für die Saite sowie die Zeitpunkte, zu denen Hammer und Saite in Kontakt kommen bzw. Kontakt verlieren. Die Übereinstimmung der Modellrechnungen mit veröffentlichten experimentellen Ergebnissen scheint von der Untersuchungsmethode der Autoren abzuhängen. Einige Datensätze zeigen aber eine gute Übereinstimmung mit Abweichungen kleiner als 2%.

Sommaire

On est parti d'un programme d'ordinateur relatif à un modèle discret de corde pincée et on l'a adapté à une corde frappée. La frappe est prévue en quatre-vingt-dix-neuf points de la corde, avec vitesse et masse initiales données. Parmi les résultats calculés figurent les déplacements en fonction du temps du marteau et de la corde au niveau du point frappé ainsi que les instants où marteau et corde se touchent et se séparent. La concordance entre les prédictions de ce modèle et divers résultats expérimentaux déjà publiés dépend des techniques choisies par les expérimentateurs. On a cependant trouvé des séries de concordances à mieux de 2% près.
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Document Type: Research Article

Publication date: 01 October 1978

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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