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    整板结构的古筝共鸣面板振动模态的研究

    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。

       

      Abstract:
        Objective  The performance effect of Guzheng is not only related to the skill of performer, but also closely related to the structure of Guzheng itself. Among them, the resonance panel receives the vibration of string and causes the resonant sound, which is a crucial part of the sound process of Guzheng. In this study, the acoustic vibration performance of Guzheng resonance panel with whole board structure was studied by different analysis methods.
        Method  The experimental modal analysis of the resonant panel was carried out by ZSDASP signal acquisition and analysis software, and the characteristics and laws of the resonance frequencies of each order and the corresponding mode shapes were obtained. A three-dimensional model of the resonance panel of the whole board structure was established, and the computational modal analysis was carried out to verify the feasibility of the computational modal analysis applied in this study.
        Result  Through modal analysis experiment and computational modal analysis, it was found that with the increase of vibration order, the mode shapes of the resonant panel of the whole board structure tended to be more complicated, and the corresponding resonance frequency gradually increased. In the modal experiment results, the resonance frequencies of (0, n), (1, n) and (2, n) orders were easier to identify; the mode shapes corresponding to the (0, n) order were relatively clear and easy to identify, but the mode shapes corresponding to the lower orders of (1, n) and (2, n) were not obvious. The modes corresponding to each frequency that can be identified by the computational modal were (1, n) and (2, n), which were missing (0, n) compared with the experimental modal results. But the results obtained by computational modal analysis were more continuous, and all orders of (1, n) and (2, n) can be identified. Several orders were not obvious enough in experimental modal analysis.
        Conclusion  The results of computational modal analysis are compared with the experimental modal results, and it is concluded that the computational modal analysis is feasible to be applied to the vibration modal research of the resonant panel of the whole board structure of Guzheng.

       

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