Abstract This paper investigates a new passive damper coupling the energy dissipative mechanisms of dry friction and piezoelectric shunting circuit for Integrally Bladed Disks (blisks). The idea is to distribute piezoelectric material to the dry friction ring so that the elastic deformation of the dry friction ring is utilized to generate additional damping. Mounting piezoelectric material on the additional structure instead of the host structure is a more practical alternative to install piezoelectric damping devices to realistic mechanical systems. This improves the reliability and maintainability of both dampers and host structures. Based on the concept of Complex Nonlinear Modes (CNMs), the dry friction damping effect of the proposed damper is measured through the modal damping ratio for target modes. Modal Electromechanical Coupling Factor (MEMCF) is extended to nonlinear electromechanical coupling systems in order to quantify the additional piezoelectric damping ratio. The damping effect of the hybrid damper is also evaluated by the maximal response amplitude in the frequency domain by the forced response analysis. On one hand, it validates the results from the nonlinear modal analysis, on the other hand, it serves as a reference to choose the optimum design parameters of the hybrid damper. Steady-state response of the cyclic symmetric structure under engine-order excitation is calculated by the Multi-Harmonic Balance Method (MHBM). A phenomenological lumped parameter model representing a blisk with a hybrid ring damper is firstly studied to demonstrate the methodology. Then a blisk finite element model is used as a demonstrator to quantitatively verify the effectiveness of the idea. It is shown that for those modes that can be damped by the dry friction damper, the addition of piezoelectric material further enhances the damping effect.

中文翻译：

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基于复杂非线性模式的整体叶片圆盘干摩擦压电混合环形阻尼器设计

摘要 本文研究了一种新型无源阻尼器，该阻尼器将干摩擦的能量耗散机制与整体叶片盘（叶盘）的压电分流电路相耦合。这个想法是将压电材料分配到干摩擦环上，以便利用干摩擦环的弹性变形来产生额外的阻尼。将压电材料安装在附加结构上而不是主体结构上是将压电阻尼装置安装到现实机械系统的更实用的替代方案。这提高了阻尼器和主机结构的可靠性和可维护性。基于复非线性模式 (CNM) 的概念，所提出的阻尼器的干摩擦阻尼效果是通过目标模式的模态阻尼比来测量的。模态机电耦合系数 (MEMCF) 扩展到非线性机电耦合系统，以量化附加压电阻尼比。混合阻尼器的阻尼效果也通过受迫响应分析在频域中的最大响应幅度来评估。一方面验证了非线性模态分析的结果，另一方面为混合阻尼器优化设计参数的选择提供了参考。发动机阶次激励下循环对称结构的稳态响应是通过多谐波平衡法（MHBM）计算的。首先研究了代表带有混合环形阻尼器的叶盘的现象学集总参数模型，以证明该方法。然后使用整体叶盘有限元模型作为演示器，定量验证该想法的有效性。结果表明，对于那些可以被干摩擦阻尼器阻尼的模式，压电材料的加入进一步增强了阻尼效果。