标题： 结构振动中弦乐器非线性性的估计 显示英文标题

标题： Estimations of non-linearities in structural vibrations of string musical instruments

摘要： 在弦的激励下，弦乐器的木质结构通常假设进行线性振动。 作为在多个振动水平和频率下直接测量失真率的替代方法，我们通过基于Hammerstein模型级联的信号模型方法来表征弱非线性。 在此方法中，在两个非线性系统的链中，两个测量足以估计第二个（子）系统的非线性贡献，该系统不能被直接线性驱动，作为激励频率的函数。 实验包括对乐器进行声学激励。 （a）与房间耦合的扬声器和（b）乐器的响应中的线性和非线性贡献可以分离。 将讨论一些方法论问题。 将介绍有关几种乐器（一架钢琴、两把吉他、一把小提琴）的研究结果。 显示英文摘要

摘要： Under the excitation of strings, the wooden structure of string instruments is generally assumed to undergo linear vibrations. As an alternative to the direct measurement of the distortion rate at several vibration levels and frequencies, we characterise weak non-linearities by a signal-model approach based on cascade of Hammerstein models. In this approach, in a chain of two non-linear systems, two measurements are sufficient to estimate the non-linear contribution of the second (sub-)system which cannot be directly linearly driven, as a function of the exciting frequency. The experiment consists in exciting the instrument acoustically. The linear and non-linear contributions to the response of (a) the loudspeaker coupled to the room, (b) the instrument can be separated. Some methodological issues will be discussed. Findings pertaining to several instruments - one piano, two guitars, one violin - will be presented.