北京林业大学学报2012，Vol.34Issue(2)：125-132,8.
琵琶共鸣面板的振动模态分析
Vibration modal analysis of resonance board of Pi-pa.
摘要
Abstract
As one of the most important components, the resonance board affects largely the acoustical quality of musical instruments. In this paper, the resonance frequencies in 0-1 000 Hz of Pi-pa＇s top resonance board made by Paulownia elongata were measured by FFT analyzer in the boundary cantilever. Resonance frequencies of some modes were identified easily, such as 28.75 Hz nz （1,0）, 171.25 nz （1,1）, 177.50 Hz （0,2）, 295.00 Hz （2,0）, 372.50 Hz （2,1 （ ） conditions of 0,1）, 87.50 , 395.00 Hz （1,2）,488.75 Hz （1,3）,581.25 Hz （3,0）,661.25 Hz （2,2）,688.75 Hz （2,3）,788.75 Hz（3, 2） , 856.25 Hz （1,4） and 957.50 Hz （4,0） , but some were identified difficultly, such as （0,3） , （0, 4）, （3,1）, （4,1）, etc. Then the vibration modes corresponding to all resonance frequencies were analyzed. Three kinds of vibrations including bending vibrations in longitudinal and transverse direction of wood grain and torsion vibration were driven after the resonance board was rapped. The torsion vibration mode is not an exact sum of bending vibrations in longitudinal and transverse directions. The vibration mode is nearly symmetrical along longitudinal axis of wood grain, but is not completely symmetrical along transverse axis. This is attributable to the pear-shape of Pi-pa＇s resonance board. The resonance frequency has similar variation trend for （0, n） , （ 1 , n） , （2, n） and （ 3, n） with n increasing.关键词
琵琶/共鸣面板/振动模态Key words
Pi-pa/resonance board/vibration mode分类
农业科技引用本文复制引用
刘镇波,李司单,刘一星,黄英来..琵琶共鸣面板的振动模态分析[J].北京林业大学学报,2012,34(2):125-132,8.基金项目
国家自然科学基金项目（30471356）、黑龙江省自然科学青年基金项目（QC2009C105）. （）
