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Klangfiguren einer Glocke

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Abstract:

Computer-generated vibration patterns show, besides the number and configuration of nodal lines, the relative amplitudes and phases of the vibrational modes of a bell. Clearly arranged in a (nodal meridian, nodal circle)-matrix, obviously only the (m, 1)-modes have maximum amplitudes at the sound bow. Thus, the partial tones of this group, Tierce, Nominal, Duodecime and Double Octave, dominate the sound of a bell. According to their nodal patterns, the two lowest partials, Hum note (2,0) and Prime (2,1″), are not in line with any partial group. This also holds for mode (2,2′).

Zusammenfassung

Es werden computererzeugte Klangfiguren von den Eigenschwingungsformen einer Glocke gezeigt, die neben der Anzahl und Figuration der Knotenlinien Informationen über die Amplitudenverhältnisse nach Größe und Richtung beinhalten. Die übersichtliche Anordnung der Klangfiguren in einer (Knotenmeridian, Knotenring)- Matrix macht deutlich, daß nur die (m, 1)-Schwingungsformen große Amplituden am Schlagring aufweisen. Deshalb dominieren deren Teiltöne Terze, Oberoktave, Duodezime und Doppeloktave den Glockenklang. Die beiden tiefsten Teiltöne, Unteroktave (2,0) und Prime (2,1″), sind ihrer Klangfigur nach keiner Schwingungsformfamilie zuzuordnen. Dies trifft auch auf die Schwingungsform (2,2′) zu.

Sommaire

Cet article présente des figures de Chladni des différentes vibrations propres d'une cloche. Les figures sont produites automatiquement par ordinateur et montrent non seulement le nombre et la disposition des lignes nodales mais donnent en plus des informations sur les rapports d'amplitude concernant l'ordre de grandeur et la direction. Le tableau récapitulatif des figures sous forme de matrice (méridien nodal/cercle nodal) fait apparaître que les grandes amplitudes au gros cordon sont limitées aux vibrations (m, 1). C'est la raison de la prédominance des partiels tierce, octave supérieure, douzième et double octave dans la tonalite des cloches. Selon les figures de Chladni, les deux partiels les plus graves, le hum (2,0) et la fondamentale (2,1″), ne peuvent être classés dans aucune famille de vibrations propres. C'est aussi le cas pour la forme de vibration (2,2′).

Document Type: Research Article

Publication date: February 1, 1993

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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