本文研究了Chladni板中振动的传播过程及其振动图案特征，细致讨论了Chladni图案的调控与合成办法．首先，本文从理论上建立了薄板振动问题的数学模型，成功揭示了振动模态出现的原因，探讨了模态叠加引起的振动图案变化．借助于数值模拟，进一步验证了理论模型预测的Chladni图案．最后，在实验上通过在板面铺上微小颗粒，成功观测到了不同的Chladni图案．本文的研究一方面有助于加深对板中波传播特性的理解，另一方面也提供了振动图案的控制与合成手段，为振动可视化研究、粒子操控等应用提供思路．

This paper studies the propagation process of vibrations and the characteristic vibration patterns in Chladni plates, and gives a detailed discussion on the regulation and synthesis methods of Chladni patterns. Firstly, the mathematical model of thin plate vibration problem is established theoretically, successfully revealing the reasons for the appearance of vibration modes, and exploring the changes in vibration patterns caused by modal superposition. Furthermore, the Chladni patterns predicted by the theoretical model are verified by numerical simulation. Finally, by laying small particles on the plate surface, the experiment successfully observed different Chladni patterns. This study not only helps deepen understanding of the special characteristics of wave propagation in plates, but also provides control and synthesis methods for vibration patterns, providing ideas for vibration visualization research, particle manipulation and other applications.