Acoustic black hole beam structure with dry friction energy dissipation: Conceptual modeling, solution method, and analysis of effect

The acoustic black hole(ABH) beam can collect vibrational energy through its geometric structure. Therefore, it has great potential for application in energy collection and vibration suppression. Damping layers are usually introduced on ABH structures to attenuate vibration energy. However, the thickness of the damping layer may affect the energy harvesting and vibration attenuation effect. Therefore, this paper used friction damper components instead of damping layers to dissipate gathered energy and proposed a dry friction-damping ABH beam structure. Established a dynamic model of the ABH beam structure by using the assumed modal method. Using the LuGre model to characterize the force of friction elements. The dynamic response was solved by using the proposed finite difference time-frequency domain harmonic balance method. Then, the reduction effectiveness and superiority of the dry friction damping ABH beam structure were verified. The parameters affecting the vibration reduction effect were analyzed. The results indicate that the dry friction damping vibration reduction structure proposed in this paper can attenuate vibration amplitudes more effectively than the damping layer. A higher friction coefficient is more favorable for vibration attenuation within a certain range of preload. The vibration reduction method proposed in this article can achieve good vibration attenuation effects under various power laws, indicating that this method can also effectively attenuate vibration amplitude without optimizing the ABH shape.