基于高速摄影实验的小提琴琴弦三维振动特性研究

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摘要小提琴弓弦之间的相互作用机理非常复杂，由于粘滑摩擦作用形成一个复杂的振动系统。本文通过理论分析和实验方法，对琴弦的振动特性进行了研究。为了测量琴弦的三维振动情况，设计了一个基于高速摄影的非接触式光学测量系统，通过在琴弦上设置一些颜色标定点，拍摄拉、拨弦时琴弦的振动图像，得到了两种不同机制的琴弦振动特征，包括振动位移、速度及弦上标定点的空间运动轨迹等。对弦上不同位置点的位移曲线进行了比较，研究其振动锯齿波的正、逆程时间比值变化和振动包络线的形成过程，最后分析了影响弦振幅的因素。

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	张承忠1
	2 叶邦彦1 梁立东1 胡习之1 赵学智1

关键词 ：弦振动, 高速摄影, 亥姆霍兹运动, 粘滑摩擦, 运动轨迹

Abstract：The interaction mechanism between violin bow and string is very complicated due to the stick-slip friction action, and it forms a complex vibration system. In this paper, the vibration characteristics of violin strings are studied through theoretical analysis and experimental method. In order to measure the three dimensional vibration configuration of the strings, an optical noncontact measurement system based on high-speed photography was designed. Some color marks are set on string and then get the vibration images when bow and pluck violin string. As a result, the string vibration characteristics of two different action mechanisms of plucked and bowed string are investigated, including vibration displacement, velocity and space trajectory of the mark point on string. After compare the displacement curves data among the different points on string, the variety of the ratio of positive process time to negative time of vibration sawtooth waveform are studied, and also the formation process of vibration enveloping curve. Finally the factors affecting the vibration amplitude of violin string are analyzed.

Key words： string vibration high speed video photography Helmholtz motion stick-slip friction motion track

收稿日期: 2013-08-31 出版日期: 2015-05-15

引用本文:

张承忠1，2 叶邦彦1 梁立东1 胡习之1 赵学智1. 基于高速摄影实验的小提琴琴弦三维振动特性研究[J]. 振动与冲击, 2015, 34(9): 177-181.
Zhang Cheng-zhong1,2 Ye Bang-yan1 Liang Li-dong1 Hu Xi-zhi1 Zhao xue-zhi1. Study on 3D Vibration Characteristic of Violin String Based on High Speed Video Photography Experiment. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(9): 177-181.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I9/177

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