Abstract This study evaluates the application of nonlinear energy sinks (NESs), mounted on the disk of a real packeted bladed disk, for an indirect passive vibration attenuation of blades. To this end, the finite element analysis is used to extract the natural modes and SAFE diagram. The cyclic symmetry property reduces the size of the system to the degrees of freedom (DOFs) in a sector containing only one packet and a disk slice. In addition, a 2-DOF reduced order model (ROM) is obtained for the two first modes of the bladed disk. The NES with an essential nonlinear stiffness and a linear damping is added to this ROM to suppress the blades vibration. Then, theoretical and numerical analyses are followed by employing the perturbation and Runge-Kutta methods to solve the system motion equations. Finally, the occurrence of Saddle-Node (SN) and Hopf bifurcations and responses like periodic and strongly modulated responses are surveyed. The results demonstrate a good performance of NESs at the second nodal diameter (ND) of the first mode due to a strong coupling between blades and the disk in out-of-plane modes and a poor performance at the second mode due to a weak coupling in in-plane ones.

中文翻译：

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使用盘上的非线性能量汇实现涡轮盘叶片的新型模态减振

摘要 本研究评估了非线性能量汇 (NES) 的应用，该能量汇安装在真实打包叶盘的盘上，用于叶片的间接被动振动衰减。为此，使用有限元分析来提取自然模式和安全图。循环对称特性将系统的大小减小到仅包含一个数据包和一个磁盘片的扇区中的自由度 (DOF)。此外，还获得了叶片盘的两个第一模态的 2-DOF 降阶模型 (ROM)。具有基本非线性刚度和线性阻尼的 NES 被添加到该 ROM 中以抑制叶片振动。然后，采用微扰法和龙格-库塔法求解系统运动方程，进行理论和数值分析。最后，调查了鞍节点 (SN) 和 Hopf 分叉的发生以及诸如周期性和强调制响应之类的响应。结果表明，NES 在第一模式的第二个节点直径 (ND) 处具有良好的性能，这是由于面外模式中叶片和圆盘之间的强耦合，以及由于弱耦合而在第二模式下的性能不佳在平面内。