含接触界面的叶盘结构强迫振动响应快速预测方法

建立了含接触界面的叶盘有限元结构强迫振动响应的快速预测方法。以含燕尾型榫连接的叶盘结构有限元(FE)模型为例,通过模态综合法对线性结构模型进行减缩,将模型计算规模降低至原模型的1/25以下,采用谐波平衡法对进行稳态响应预测。在此过程中,将作者前期研究工作中提出的雅可比矩阵加速技术进行拓展改进,形成了适用于含接触界面的大规模有限元模型的快速雅可比矩阵快速计算方法,将基于谐波平衡法的响应预测速率提高400倍以上。结果表明:所建立的含接触界面的叶盘结构强迫振动响应快速预测方法准确性良好,在计算效率方面拥有巨大的优势,可为后续开展各种类型干摩擦阻尼器的设计和优化工作提供强有力的工具。 

Fast response prediction method for bladed disks with contact interfaces

A fast prediction method for forced vibration response of bladed disks with contact interfaces was established. This method was exemplified by applying it into a finite element (FE) model of a bladed disk with dovetail joints. The linear part of the finite element model was reduced by means of the modal synthesis method. A reduced model with the total amount of the generalized degree-of-freedoms less than 1/25 that of the full model was set up. Forced response was predicted by employing the harmonic balance method. In this process, the Jacobian acceleration technique proposed in previous research effort was reformulated and improved. It evolved into a improved and fast Jacobian-evaluation method suitable for large-scale non-linear bladed disk models with contact interfaces. Result showed that the response prediction based on the harmonic balance method was more than 400 times faster. Prevailing advantages in computational efficiency and accuracy were fully demonstrated by the simulation results. This can raise the potentiality of acting as a powerful tool for the design and optimization for various dry friction dampers.