TSHBM法及其在干摩擦阻尼叶片响应计算中的应用  

A TSHBM method and its application in response calculation of dry friction damped blades

作　　者：孙扬 周标 臧朝平[1] SUN Yang;ZHOU Biao;ZANG Chaoping(College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学能源与动力学院,南京210016

出　　处：《航空动力学报》2024年第10期110-120,共11页Journal of Aerospace Power

基　　金：航空发动机及燃气轮机重点专项基础研究项目(J2019-Ⅳ-0023-0091)。

摘　　要：建立了以时间谱形式的谐波平衡法为核心的新型非线性强迫振动响应高效计算方法,并应用于含接触界面的干摩擦阻尼叶片结构响应分析。基于时间谱形式的谐波平衡法的原理和特点,建立非线性强迫振动响应通用求解方案;根据接触非线性的特性,提出了干摩擦力及解析雅可比矩阵计算的适应性处理方案,形成了含接触界面的叶片结构新型非线性振动响应高效预测方法。数值仿真结果表明:在带燕尾型榫根的叶片单扇区有限元模型中,分别保留1阶和3阶谐波阶次时,该方法的非线性振动响应计算时间消耗相较于传统的多谐波平衡法分别削减37%和46%,因此该方法在易用性、可推广性和计算效率方面具有独特的优势。A novel nonlinear forced vibration response calculation method based on the timespectral form of harmonic balance method(TSHBM)was established and applied to the response analysis of dry friction damped blades structure with contact interfaces.A general framework for the nonlinear forced response computation was established based on the TSHBM,of which the principles and characteristics were emphasized.In order to appropriately account for the contact nonlinearity,the computational schemes for dry friction force and the construction of an analytic Jacobian matrix were proposed.The novel computational method for nonlinear forced responses of blades with contact interfaces was built.The numerical simulation results showed that for the FE model of a bladed disk sector with dovetail joint,when the 1st and 3rd harmonic orders were respectively reserved,the nonlinear vibration response calculation time of this method was reduced by 37%and 46%,respectively,compared with traditional multi-harmonic balance method.So this method has unique advantages in terms of ease of use,generalizability and computational efficiency.

关 键 词：响应预测 叶片结构 干摩擦阻尼 多谐波平衡法 时间谱形式的谐波平衡法 

分 类 号：V231.92[航空宇航科学与技术—航空宇航推进理论与工程]