叶片/叶盘摩擦阻尼结构的非线性模态分析综述  

Review of nonlinear modal analysis in friction damping structures of blades/blade disks

作　　者：孙业凯 吴亚光 王兴 范雨[2] 袁杰 张大义[2] SUN Yekai;WU Yaguang;WANG Xing;FAN Yu;YUAN Jie;ZHANG Dayi(Commercial Aircraft Engine Company Limited,Aero Engine Corporation of China,Shanghai 200241,China;School of Energy and Power Engineering,Beihang University,Beijing 102206,China;School of Aeronautics and Astronautics,Sun Yat-sen Univeristy,Shenzhen Guangdong 518107,China;Aerospace Centre of Excellence,University of Strathclyde,Glasgow G11XQ,UK)

机构地区：[1]中国航发商用航空发动机有限责任公司,上海200241 [2]北京航空航天大学能源与动力工程学院,北京102206 [3]中山大学航空航天学院,广东深圳518107 [4]思克莱德大学卓越航空航天中心,英国格拉斯哥G11XQ

出　　处：《航空动力学报》2022年第10期2167-2187,共21页Journal of Aerospace Power

基　　金：中国博士后科学基金(2021M700326);国家自然科学基金(52005522,12072378);深圳市科技计划(RCYX20210706092137055)。

摘　　要：概述了非线性模态的理论基础以及非线性动力学分析的一般数值方法;进而针对含干摩擦非线性环节的结构,总结了阻尼非线性模态的相关研究进展;在此基础上,重点综述了国内外近十年来采用阻尼非线性模态数值方法在航空发动机带冠叶片、缘板阻尼器、叶根阻尼与干摩擦阻尼环分析与设计中的应用;列举了目前用于验证非线性模态的先进试验技术。提出了非线性模态在干摩擦阻尼结构动力学分析中亟需解决和关注的若干问题。研究表明:非线性模态逐渐从理论研究阶段过渡到工程应用阶段。结合模型降维技术,阻尼非线性模态已经可用于提取带干摩擦阻尼叶片/叶盘高保真有限元模型的模态特征。拓展能量平衡法与非线性模态综合法搭建了非线性模态与稳态响应的桥梁,可以显著提升基于响应的参数分析效率。非线性模态试验技术的研究处于起步阶段,尚无法应用于工程复杂结构。The definitions of the nonlinear modes and the numerical methods to solve a nonlinear dynamic problem were reviewed.The progress in application of the damped nonlinear normal modes for structures with frictional damping was summarized.The related researches in the last decade for different friction damping devices were also summarized,including the tip shrouded blades,underplatform dampers,blade root damping and friction ring dampers.Furthermore,test works related to nonlinear modal testing were also reviewed.Open problems and future directions were highlighted.It was concluded that the nonlinear mode gradually developed from the theoretical stage to engineering stage.Combined with adhoc reduced order modeling techniques,nonlinear modal analyses were implemented to reveal the modal characteristics of high-fidelity finite element models of frictionally damped blades/blisks.The extended energy balance method and nonlinear modal synthesis were employed to build a bridge between nonlinear modes and steady-state response,which can significantly improve the efficiency of response-based parameter analysis.Nonlinear modal testing still in its infancy cannot be applied to engineering structures yet.

关 键 词：非线性振动 阻尼非线性模态 干摩擦阻尼器 叶片 叶盘 

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]