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整板结构的古筝共鸣面板振动模态的研究

葛颖 张元婷 万珂 苗媛媛 李宜祥 田明亮 郭林杰 刘镇波

葛颖, 张元婷, 万珂, 苗媛媛, 李宜祥, 田明亮, 郭林杰, 刘镇波. 整板结构的古筝共鸣面板振动模态的研究[J]. 北京林业大学学报, 2021, 43(8): 107-116. doi: 10.12171/j.1000-1522.20210136
引用本文: 葛颖, 张元婷, 万珂, 苗媛媛, 李宜祥, 田明亮, 郭林杰, 刘镇波. 整板结构的古筝共鸣面板振动模态的研究[J]. 北京林业大学学报, 2021, 43(8): 107-116. doi: 10.12171/j.1000-1522.20210136
Ge Ying, Zhang Yuanting, Wan Ke, Miao Yuanyuan, Li Yixiang, Tian Mingliang, Guo Linjie, Liu Zhenbo. Vibration mode of Guzheng resonance panel with whole board structure[J]. Journal of Beijing Forestry University, 2021, 43(8): 107-116. doi: 10.12171/j.1000-1522.20210136
Citation: Ge Ying, Zhang Yuanting, Wan Ke, Miao Yuanyuan, Li Yixiang, Tian Mingliang, Guo Linjie, Liu Zhenbo. Vibration mode of Guzheng resonance panel with whole board structure[J]. Journal of Beijing Forestry University, 2021, 43(8): 107-116. doi: 10.12171/j.1000-1522.20210136

整板结构的古筝共鸣面板振动模态的研究

doi: 10.12171/j.1000-1522.20210136
基金项目: 国家自然科学基金项目(31670559),中央高校基本科研业务费专项资金项目(2572019BB05),东北林业大学生创新训练计划项目资助(201910225272)
详细信息
    作者简介:

    葛颖。主要研究方向:木材声学。Email:nongtiande@foxmail.com 地址:150040 黑龙江省哈尔滨市和兴路26号东北林业大学材料科学与工程学院

    责任作者:

    刘镇波,教授,博士生导师。主要研究方向:木材声学、木材功能性改良。Email:liu.zhenbo@foxmail.com 地址:同上

  • 中图分类号: TB532;S781.3

Vibration mode of Guzheng resonance panel with whole board structure

  • 摘要:   目的  古筝的演奏效果除了与演奏者的技艺有关,与古筝本身的结构也有密不可分的联系。其中共鸣面板接收琴弦的振动并引起共振发声,是古筝发声过程中至关重要的一部分。本研究以整板结构古筝共鸣面板为研究对象,利用不同分析方法探讨其声学振动性能。  方法  采用ZSDASP信号采集分析软件对整板结构共鸣面板进行实验模态分析,得出各阶次共振频率及对应模态振型的特点和规律;并建立整板结构共鸣面板的三维模型,对其进行计算模态分析,验证计算模态分析应用于本研究的可行性。  结果  通过实验模态分析和计算模态分析均得出,随着振动阶次的升高,整板结构共鸣面板模态振型均趋于复杂,且对应的共振频率也逐渐增大;在实验模态结果中,(0, n)、(1, n)和(2, n)等阶次的共振频率较易识别;(0, n)阶对应的模态振型相对清晰易识别,但(1, n)、(2, n)中较低阶次对应的模态振型不明显;计算模态能够识别到的各阶频率所对应的振型为(1, n)和(2, n)阶,与实验模态结果相比缺少(0, n)阶,但计算模态分析得到的结果更具连续性,能够识别到(1, n)和(2, n)的所有阶次,而实验模态分析时个别阶次不够明显。  结论  将计算模态求解结果与实验模态结果进行对比分析得出,计算模态分析应用于整板结构古筝共鸣面板的振动模态研究具有一定的可行性。

     

  • 图  1  实验模态分析的材料设置方式

    Figure  1.  Material setup mode of modal analysis experiment

    图  2  整板结构的古筝共鸣面板的各阶共振频率对应振型图及其振动节线图

    Figure  2.  Vibration mode diagrams and vibration nodal diagrams corresponding to each order resonant frequency of whole Guzheng soundboard

    图  3  整板结构共鸣面板各阶共振频率的变化趋势

    Figure  3.  Changing trend of resonance frequencies of whole Guzheng soundboard

    图  4  整板结构共鸣面板模型的共振频率和振型

    Figure  4.  Resonance frequencies and modes of the whole soundboard model

    图  5  整板结构共鸣面板计算模态分析与实验所得各阶次频率变化趋势

    Figure  5.  Frequency changing trend of each order obtained from the mode analysis and experiment of the whole soundboard

    表  1  共鸣面板的尺寸规格

    Table  1.   Geometric parameters of soundboard mm

    长度
    Length
    厚度
    Thickness
    首部宽度
    Head width
    尾部宽度
    Tail width
    宽度方向弧长半径
    Arc length radius in width direction
    长度方向弧长半径
    Arc length radius in length direction
    1 630 7 350 295 330 7 300
    下载: 导出CSV

    表  2  计算模态分析与实验所得各阶频率对比

    Table  2.   Frequency comparison between calculated modal analysis and experimental results

    阶数
    Order
    频率 Frequency/Hz误差
    Error/%
    阶数
    Order
    频率 Frequency/Hz误差
    Error/%
    实验结果
    Experimental result
    计算结果
    Calculated result
    实验结果
    Experimental result
    计算结果
    Calculated result
    (0,0) (1,5) 608.59 608.59 1.17
    (0,1) 238.28 (1,6) 764.21 764.21
    (0,2) 347.66 (1,7) 910.29 910.29 2.21
    (0,3) 425.78 (1,8) 921.97 921.97 1.73
    (0,4) 492.19 (1,9) 1 037.00 1 037.00
    (0,5) (1,10) 1 117.20 1 117.20
    (0,6) (1,11) 1 281.00 1 281.00 −0.63
    (0,7) (2,4) 653.58 653.58 −0.41
    (0,8) (2,5) 712.17 712.17 3.00
    (0,9) (2,6) 758.96 758.96 1.72
    (0,10) (2,7) 941.58 941.58
    (1,3) 460.94 462.45 0.33 (2,8) 1 032.50 1 032.50 0.50
    (1,4) 537.56
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-04-12
  • 修回日期:  2021-04-30
  • 网络出版日期:  2021-06-04
  • 刊出日期:  2021-08-31

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