古筝弦振动及琴码的动力学分析

Dynamic analysis on Guzheng string vibration and bridge transmission

将古筝弦振动简化为有界弦振动模型,分别对拨弦和扫弦状态下弦的振动进行动力学分析。以拨弦为例,建立了弦振动通过琴码传递到古筝面板的动力学模型,并利用Matlab数值计算和实验测量进行验证。为古筝的弦振动和琴码传递过程的分析建立了理论模型,解决了古筝振动声学特性分析中的结构模型简化问题,为古筝的进一步的研究提供了参考。

The Guzheng string vibration was simplified into a bounded string vibration, and the vibrations during plucking and sweeping strings were dynamically analysed. A dynamic model of the process that the string vibration passes from the bridge to the Guzheng panel was built. The accuracy of the model proposed was verified through the comparison between the numerical results by using the Matlab simulation and the experimental data. The work of this paper provides a reliable theoretical model for the analysis of the string vibration and the bridge transmission process. The simplification of the structural model in analyzing the Guzheng vibro-aeoustic characteristics was achieved and it will provide more or less support and guidance for the improvement of future Guzhengs.