A semi-analytical multi-harmonic balance method on full-3D contact model for dynamic analysis of dry friction systems

作     者：He SUN Dayi ZHANG Yaguang WU Qingyang SHEN Dianyin HU He SUN;Dayi ZHANG;Yaguang WU;Qingyang SHEN;Dianyin HU

作者机构：Research Institute of Aero-EngineBeihang UniversityBeijing 100191China School of Energy and Power EngineeringBeihang UniversityBeijing 100191China Beijing Key Laboratory of Aero-Engine Structure and StrengthBeijing 100191China Sino-French Engineering SchoolBeihang UniversityBeijing 100191China AECC Sichuan Gas Turbine Research EstablishmentChengdu 610500China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2024年第37卷第2期

页      面：309-329页

核心收录：

学科分类：082502[工学-航空宇航推进理论与工程] 08[工学] 0825[工学-航空宇航科学与技术] 

基　　金：financially supported by the National Natural Science Foundation of China(Nos.52175071,91860205) the Major Projects of Aero-engines and Gas turbines(No.J2019-IV-023-0091) 

主　　题：Dry friction damping Multi-harmonic balance method Trajectory tracking method Jacobian matrix Shrouded blade 

摘      要：Dry friction damping structures are widely-used in aero-engines to mitigate *** nonlinear nature of friction and the two-dimensional in-plane motion on the contact interface bring challenges to accurately and efficiently predict the forced response of frictionally damped *** state-of-the-art Multi-Harmonic Balance Method(MHBM)on quasi-3D contact model in engineering cannot precisely capture the kinematics on the friction interface although the efficiency is *** full-3D contact model can describe the constitutive relationship of the interface in a more accurate manner;however,the efficiency and convergence are not guaranteed for large-scale *** this paper,a semi-analytical MHBM on full-3D contact model is *** original Trajectory Tracking Method(TTM)for evaluating the contact force is reformulated to make the calculation more concise and the derivation of the Analytical Jacobian Matrix(AJM)*** on the chain rule of derivation,the AJM which is the core to upgrade the performance is *** a shrouded blade finite element model,the accuracy and efficiency of the proposed method are compared with both the MHBM on full-3D contact model with numerical Jacobian matrix and the MHBM on quasi-3D contact model with *** results show that the AJM improves significantly the efficiency of the MHBM on full-3D contact *** time cost of the proposed method is in the same order of magnitude as that of the MHBM on quasi-3D contact *** also confirm that the full-3D contact model is necessary for the dynamic analyses of shrouded *** one uses the quasi-3D model,the estimation relative error of damping can even reach 31.8%in some *** addition,the AJM also brings benefits for stability *** is highly recommended that engineers use the MHBM on full-3D contact model for the dynamic analysis and design of shrouded blades.