非线性能量阱在悬臂薄板振动抑制中的应用研究

Vibration suppression of cantilever thin plates using nonlinear energy sink

悬臂结构在航空航天领域应用广泛,由于结构受到激励作用而产生共振行为,因此结构的振动抑制问题显得尤为重要。非线性能量阱(Nonlinear Energy Sink,NES)以质轻、能量单向传递以及减振效率高等特点,为其引入到航空航天结构的减振设计中提供了条件。利用NES对悬臂矩形板进行减振研究。考虑Kirchhoff经典薄板模型,建立了薄板与NES耦合的动力学方程,通过模态截断研究了薄板一阶横向弯曲时结构的响应问题,分析了不同参数下NES的减振效果,发现NES对结构响应位置较为敏感,并且在位移响应最大位置处减振效果最大。以期为悬臂结构在工程应用中提供一些理论上的支持。

Cantilever structures are widely used in the field of aerospace engineering.It is very important to restrain the vibration of these structures because of their resonance behavior under external excitation.The Nonlinear Energy Sink(NES),which is characterized by light weight,targeted energy transfer and high damping efficiency,can be used in the design of vibration suppression of aerospace structures.In this paper,the vibration reduction of cantilever rectangular plates using the NES is studied.Considering the classic Kirchhoff plate model,the dynamic equation of the thin plate coupled with the NES is established,and the response of the structure in the first order transverse bending is studied by modal truncation.The damping effect of the NES under different parameters is analyzed.It is found that the NES is sensitive to the response position of the structure and has the maximum effect of vibration reduction at the position with the maximum displacement response,which can provide some theoretical support for the cantilever structure in engineering application.