叶片/叶盘摩擦阻尼结构的非线性模态分析综述

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.