He Lan, Liang Yuwei, Zhang Liang, Zhou Jing, Wang Ruofan, Liu Zhenbo
Key Laboratory of Bio-Based Material Science and Technology of Ministry of Education, Northeast Forestry University, Harbin 150040, China.
Materials (Basel). 2024 Feb 22;17(5):1004. doi: 10.3390/ma17051004.
The effect of structure on the vibration response was explored for four piano soundboards with different but commonly adopted structures. The vibration response was obtained using the free-vibration method, and the values of the dynamic modulus of elasticity and dynamic shear modulus obtained using the free-vibration frequency method ( and ) were compared with the dynamic modulus of elasticity obtained using the Euler beam method () and dynamic shear modulus obtained using the free-plate torsional vibration method (), respectively. It was found that the soundboards with different structures had different vibration modes and that excitation at different locations highlighted different vibration modes. For all the soundboards analyzed, the and were higher than and by 2.2% and 24.3%, respectively. However, the trends of the results of these methods were the same. The four piano soundboards with different structures possessed varying dynamic moduli of elasticity and dynamic shear moduli. These rules are consistent with the grain directions of the soundboards and the anisotropy of the wood (the direction of the units of the soundboards). The results show that the vibration mode of the piano soundboard is complex. The dynamic elastic modulus of the soundboard can be calculated using the Euler beam method. The results provide a reference for studies on the vibration response, material selection, production technology, and testing of piano soundboards.
研究了四种具有不同但常用结构的钢琴音板的结构对振动响应的影响。采用自由振动法获得振动响应，并将采用自由振动频率法得到的动态弹性模量和动态剪切模量的值（ 和 ）分别与采用欧拉梁法得到的动态弹性模量（ ）和采用自由板扭转振动法得到的动态剪切模量（ ）进行比较。结果发现，不同结构的音板具有不同的振动模式，并且在不同位置的激励突出了不同的振动模式。对于所有分析的音板， 和 分别比 和 高2.2%和24.3%。然而，这些方法的结果趋势是相同的。四种不同结构的钢琴音板具有不同的动态弹性模量和动态剪切模量。这些规律与音板的纹理方向和木材的各向异性（音板单元的方向）一致。结果表明，钢琴音板的振动模式是复杂的。音板的动态弹性模量可以用欧拉梁法计算。研究结果为钢琴音板的振动响应、材料选择、制作工艺及检测等方面的研究提供了参考。
