华南师范大学学报(自然科学版)
華南師範大學學報(自然科學版)
화남사범대학학보(자연과학판)
JOURNAL OF SOUTH CHINA NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)
2014年
6期
40-46
,共7页
张承忠%叶邦彦%曹云凤%梁立东%赵学智
張承忠%葉邦彥%曹雲鳳%樑立東%趙學智
장승충%협방언%조운봉%량립동%조학지
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
小提琴共鳴箱%有限元倣真%振動模態%頻率響應%加速度傳感器
소제금공명상%유한원방진%진동모태%빈솔향응%가속도전감기
violin sounding box%finite element numerical simulation%vibration mode%frequency response%accel-eration vibration sensor
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。
小提琴共鳴箱作為小提琴髮聲繫統最為覈心的部分,其振動狀態對小提琴的聲學特性起著重要作用。首先對提琴共鳴箱繫統進行受力分析併建立其精確模型,然後通過有限元倣真,分析瞭不同結構參數的小提琴共鳴箱的振動模態及頻率響應,併將其與文獻中的實驗結果進行比較。倣真結果錶明,小提琴共鳴箱麵闆和揹闆的一些參數,如琴闆厚薄、拱高、拱形變化、低音樑和音柱狀況及接觸剛度等,對共鳴箱振動特徵影響大。最後設計瞭基于加速度傳感器的振動測量繫統和採用滑絃激勵方法,對小提琴共鳴箱的振動特性和頻率響應等進行瞭實驗,其結果符閤共鳴箱振動有限元倣真和數值分析的結論。該研究為提琴製作者通過琴闆幾何形狀和音柱等調整,改善小提琴共鳴箱振動特性提供瞭理論參攷。
소제금공명상작위소제금발성계통최위핵심적부분,기진동상태대소제금적성학특성기착중요작용。수선대제금공명상계통진행수력분석병건립기정학모형,연후통과유한원방진,분석료불동결구삼수적소제금공명상적진동모태급빈솔향응,병장기여문헌중적실험결과진행비교。방진결과표명,소제금공명상면판화배판적일사삼수,여금판후박、공고、공형변화、저음량화음주상황급접촉강도등,대공명상진동특정영향대。최후설계료기우가속도전감기적진동측량계통화채용활현격려방법,대소제금공명상적진동특성화빈솔향응등진행료실험,기결과부합공명상진동유한원방진화수치분석적결론。해연구위제금제작자통과금판궤하형상화음주등조정,개선소제금공명상진동특성제공료이론삼고。
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.