看到钢琴的声音 利用有限元分析将钢琴声音可视化的探索

Yifan Xia
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摘要

这项研究旨在为残障人士提供一种通过音乐可视化更好地学习音乐的方法。我们建立了钢琴键频率与 Chladni 模式之间的关系。首先,我们使用 ANSYS 进行了模态分析模拟,涵盖了钢琴琴键频率范围内的所有可激发模态。然而,由于模拟结果的固有频率与实验结果略有不同,我们采用了锤击法来验证模拟结果,并证明有限元模态分析能够很好地模拟圆板的动态特性。随后的研究发现,低频范围内不同的激励频率也可能影响 Chladni 模式的产生。利用 ANSYS 中的谐波分析,我们证实了频率相近的音调在同一块板上可以产生不同的 Chladni 图案,从而大大简化了以前必须使用多块不同形状和大小的板才能观察到大部分钢琴键的问题。在对单个音调进行图形模拟的基础上,我们成功地将其扩展到了旋律。这一成果为有效帮助听障人士学习乐器提供了有力的支持,使以可视化的形式呈现音乐成为可能,并为听障人士更广泛地使用音乐教育工具开辟了新的可能性。
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Seeing the piano sound Exploration on utilizing finite element analysis to visualize piano sound
The study aims to provide a way for impaired people to learn music better through music visualization. We established a relationship between piano key frequencies and Chladni patterns. Firstly, we performed modal analysis simulations using ANSYS, covering the full range of excitable modes in the frequency range of the piano keys. However, since the natural frequencies of the simulation results were slightly different from experimental results, we used the hammering method to validate the simulation results and to demonstrate that the finite element modal analysis was able to simulate the dynamic properties of the circular plate well. Subsequent studies have found that different excitation frequencies in the lower frequency range may also affect the generation of Chladni patterns. Using harmonic analysis in ANSYS, we confirmed that tones of similar frequency on the same plate can produce different Chladni patterns, thus greatly simplifying the previous problem of having to use multiple plates of different shapes and sizes in order to visualize most of the piano keys. Based on the graphical simulation of a single tone, we have successfully extended it to a melody. This result provides strong support for effectively helping the hearing impaired to learn to play musical instruments, makes it possible to present music in a visual form, and opens up new possibilities for the wider use of music education tools in the hearing-impaired community.
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