螺旋锥齿轮模态试验与模型修正  

Modal test and model modification of spiral bevel gears

作　　者：何宏图 曹雪梅[1] 许浩 侯圣文 HE Hongtu;CAO Xuemei;XU Hao;HOU Shengwen(School of Mechanical Engineering,Henan University of Science and Technology,Luoyang Henan 471003,China;Zhongchuan Transmission Machinery Company Limited,Aero Engine Corporation of China,Changsha 410200,China;Shaanxi Key Laboratory of Gear Transmission,Shaanxi Fast Gear Company Limited,Xi’an 710119,China)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003 [2]中国航发中传机械有限公司,长沙410200 [3]陕西法士特齿轮有限责任公司陕西省齿轮传动重点试验室,西安710119

出　　处：《航空动力学报》2024年第11期425-433,共9页Journal of Aerospace Power

基　　金：国家自然科学基金(51675161);陕西省重点研发计划项目(2021ZDLGY10-06);陕西省重点研发计划项目(2021ZDLGY12-03);龙门实验室前沿探索课题(LMQYTSKT026)。

摘　　要：为准确提取螺旋锥齿轮模态参数,构建精确动力学模型,通过试验与仿真相结合的方法,采用移动力锤法进行模态试验,提取模态参数;基于实测数据建立精确仿真模型并进行模态分析;采用初等旋转变换法修正仿真模态振型,得到准确的试验和仿真模态置信度,提高分析精度;以试验模态频率为目标,采用响应面法修正模型材料参数。修正后固有频率最大相对误差由0.83%下降到0.353%,提高了仿真模型精度。试验与仿真频响分析结果表明:由仿真模型不准确导致的移频现象和加速度幅值误差得到有效控制,验证了动力学模型的准确性。研究方法为螺旋锥齿轮进一步的结构优化和减振避振奠定基础。To accurately extract spiral bevel gears’modal parameters and construct an accurate dynamic model,a combination of experimental and simulation methods were used to conduct modal tests using the moving force hammer method to extract modal parameters;an accurate simulation model was established based on measured data and modal analysis was conducted;the elementary rotation transformation method was used to correct the simulation mode shapes,and the accurate confidence of the test and simulation modes was obtained to improve the analysis accuracy;taking the experimental modal frequency as the target,the response surface method was used to correct the material parameters of the model.After the correction,the maximum relative error of natural frequency was reduced from 0.83%to 0.353%,which improved the accuracy of the simulation model.The experimental and simulation frequency response analysis results showed that the frequency shift phenomenon and acceleration amplitude error caused by inaccurate simulation models were effectively controlled,verifying the accuracy of the dynamic model.The research method lays the foundation for further structural optimization and vibration reduction and avoidance of spiral bevel gears.

关 键 词：模态参数 螺旋锥齿轮 模态试验 模型修正 响应面法 

分 类 号：V232.8[航空宇航科学与技术—航空宇航推进理论与工程] TH113.1[机械工程—机械设计及理论]