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Physical modeling of oboe-like instruments: influence of the bore conicity and of the pipeneck after the double reed

机译:双簧管样乐器的物理建模:双簧片后孔锥度和颈部的影响

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In this paper two major differences between clarinet-like instruments and oboe-like instruments have been studied: a conical shape and the presence of a pipe-neck downstream of the double reed. First of all, the well known effects of the conical bore have been investigated. Whereas the input impedance of a cylindrical bore shows resonance at all the odd multiples of the fundamental resonance frequency, the input impedance of a conical bore has its maxima at the even multiples of the fundamental (which means all the multiples of another fundamental frequency two times larger than for a cylindrical pipe). A method which simulates this behavior has been studied. It consists in simulating two cylindrical bores connected perpendicular to the reed. Numerical simulation have shown the consistency of the algorithm with the theory Concerning the effect of the pipeneck, a model has been proposed, leading to a nonlinear relation between air pressure close to the reed and air pressure at the begining of the bore (i.e. end of the pipeneck). This relation is parameterized by the discharge-losses-coefficient associated with the pipeneck. Three qualitatively different behaviors have been highlighted, two of them being hysteretic. Analytical conditions to obtain each of the three different behaviors are given in the present paper. Experiments are being carried out to check the validity of the model, and the magnitude order of Cd in oboe-like instruments. Indeed, nothing guarantees that type 2 and type 3 behaviors will be observed. However, preliminary stroboscopic visualisations of double-reed oscillations (made by R. Causse) confirm that the reed may jump during its cycle between two positions. The present model will be used in sound synthesis applications. Sound examples will be presented at the conference.
机译:本文研究了单簧管乐器和双簧管乐器之间的两个主要区别:圆锥形和双簧片下游的管颈的存在。首先,已经研究了圆锥孔的众所周知的作用。圆柱孔的输入阻抗在基本谐振频率的所有奇数倍处都显示出谐振,而圆锥孔的输入阻抗在基数的偶数倍处具有最大值(这意味着另一个基频的所有倍数是两倍)大于圆柱管)。已经研究了一种模拟这种行为的方法。它包括模拟两个垂直于簧片连接的圆柱孔。数值模拟表明算法与理论的一致性。关于管颈效应,提出了一个模型,该模型导致靠近簧片的空气压力与钻孔开始时(即孔的末端)之间的非线性关系。瓶颈)。该关系通过与瓶颈相关的排放损耗系数进行参数化。突出了三种性质上不同的行为,其中两种具有滞后性。本文给出了获得三种不同行为的分析条件。正在进行实验以检查模型的有效性以及双簧管状仪器中Cd的量级。实际上,没有任何东西可以保证将观察到2型和3型行为。然而,频闪观测的双簧片振荡(由R. Causse制造)证实了簧片在其两个位置之间的循环中可能会跳跃。本模型将用于声音合成应用程序。声音示例将在会议上介绍。

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