端齿同轴度误差对双锥度叶片-机匣系统加速特性分析  

Acceleration characteristics of double taper blade‑casing system considering the coaxiality errors of the curvic couplings

作　　者：金淼 王艾伦[2] 王青山[2] 尹伊君 陈雅孺 衡星 JIN Miao;WANG Ailun;WANG Qingshan;YIN Yijun;CHEN Yaru;HENG Xing(China North Vehicle Research Institute,Beijing 100072,China;State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha 410083,China)

机构地区：[1]中国北方车辆研究所,北京100072 [2]中南大学高性能复杂制造国家重点实验室,湖南长沙410083

出　　处：《振动工程学报》2025年第2期420-431,共12页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(52075554);高性能复杂制造国家重点实验室资助项目(ZZYJKT2021-07);东北大学航空动力装备振动及控制教育部重点实验室研究基金资助项目(VCAME202006);中南大学研究生创新基金资助项目(No.2019zzts256)。

摘　　要：在航空涡轴发动机装配过程中,端齿同轴度误差是一个重要的技术指标,对整机系统的性能和使用寿命有重要的影响。以航空涡轴发动机涡轮叶片-机匣为研究对象,考虑将端齿同轴度误差(定位误差和定向角误差)引入到叶尖-机匣的间隙方程中,基于Hamilton能量原理和Galerkin方法建立了考虑双锥度叶片-机匣系统的非线性动力学模型,通过ANSYS有限元方法验证了理论模型的正确性。在此基础上,运用Newmark-β数值求解方法分析了不同端齿同轴度误差对系统在定值加速函数(函数1)与余弦波加速函数(函数2)下的瞬态响应的影响,数值计算结果表明:增加同轴度误差,会进一步缩小叶尖与机匣之间的最小间隙,导致碰摩诱发的振幅更加严重;与函数1相比,采用函数2的加速度可以更快地通过系统临界转速,导致碰摩开始时间提前,当靠近目标转速时,减速作用可以有效减少最大碰摩力和侵入量,以减缓系统的隆起现象和跳跃现象。In the assembly process of an aero-turboshaft engine,the coaxiality errors of the curvic couplings are an important techni-cal index,significantly affecting the performance and service life of the whole system.This study takes the turbine blade-casing of an aero-turboshaft engine as an example.The coaxiality errors(including both positional and orientation errors)of the curvic cou-plings are introduced into the clearance function of the blade tip-casing,the nonlinear dynamic model of a rotating taper-blade cas-ing system is then proposed based on the Hamilton variational principle and the Galerkin method.The effectiveness of the proposed model is verified using ANSYS software.Two different acceleration functions are proposed:Function 1 assumes a constant accel-eration value,while Function 2 adopts a cosine wave form for acceleration.The effects of different coaxiality errors of the curvic couplings on the transient response during both acceleration functions are further investigated using Newmark-βnumerical method.Simulation results show that an increase in the coaxiality error of the curvic coupling leads to a reduction in the minimum clearance between the blade tip and casing,resulting in a more serious amplitude amplification induced by blade-tip casing rubbing.Com-pared with Function 1,Function 2 enables the system to pass through the critical speed more quickly,which advances the start time of rubbing.In addition,the maximum rubbing force and penetration depth can be effectively reduced due to the effects of the deceleration,weakening the rising and jumping phenomena in the system.

关 键 词：转子动力学 叶片-机匣碰摩 端齿同轴度误差 余弦波加速函数 跳跃和隆起现象 

分 类 号：V231.96[航空宇航科学与技术—航空宇航推进理论与工程] V232.4