小提琴共鸣箱振动特性的有限元仿真与实验研究  

Research on Vibration Behavior of Violin Sounding Box with Finite Element Numerical Simulation Method and Experiment

作　　者：张承忠[1] 叶邦彦[2] 曹云凤[2] 梁立东[2] 赵学智[2] 

机构地区：[1]华南师范大学软件学院,佛山528225 [2]华南理工大学机械与汽车工程学院,广州510640

出　　处：《华南师范大学学报（自然科学版）》2014年第6期40-46,共7页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(51375178)

摘　　要：小提琴共鸣箱作为小提琴发声系统最为核心的部分,其振动状态对小提琴的声学特性起着重要作用.首先对提琴共鸣箱系统进行受力分析并建立其精确模型,然后通过有限元仿真,分析了不同结构参数的小提琴共鸣箱的振动模态及频率响应,并将其与文献中的实验结果进行比较.仿真结果表明,小提琴共鸣箱面板和背板的一些参数,如琴板厚薄、拱高、拱形变化、低音梁和音柱状况及接触刚度等,对共鸣箱振动特征影响大.最后设计了基于加速度传感器的振动测量系统和采用滑弦激励方法,对小提琴共鸣箱的振动特性和频率响应等进行了实验,其结果符合共鸣箱振动有限元仿真和数值分析的结论.该研究为提琴制作者通过琴板几何形状和音柱等调整,改善小提琴共鸣箱振动特性提供了理论参考.As the core of violin system, the vibration state of violin sounding box plays a decisive role in acoustic characteristics of violin.In this paper, firstly, an accurate model is established according to the force analysis of vi-olin box, and then vibration mode and frequency response of the whole violin box are analyzed by means of geomet-ric modeling and Finite Element Numerical Simulation.Besides, those results are compared with the results of other researchers.It shows that some of the parameters of violin front plate and back plate of sounding box, such as the thickness, the distribution and change of the height and shape of arch in front plate geometry, status of bass bar and sound-post have great influence on vibration characteristics of violin sounding box.Finally, vibration experiment system based on acceleration sensor is designed.The vibration characteristics and frequency response of violin sounding box while sliding the finger in the fingerboard are measured and analyzed.The results are compared with the one of the finite element simulations.The experimental results verified the finite element simulation and numeri-cal analysis.Consequently, this research provides a feasible way of theoretic for violin makers to improve the vibra-tion characteristics of violin through adjusting plate geometry and sound-post.

关 键 词：小提琴共鸣箱 有限元仿真 振动模态 频率响应 加速度传感器 

分 类 号：TN911.7[电子电信—通信与信息系统] TH165.3[电子电信—信息与通信工程]