一种考虑三线摆摆线质量的转动惯量计算方法及虚拟验证  

A Calculation Method and Virtual Verification for the Rotational Inertia Considering the Cycloid Mass Effects of the Trifilar Pendulum

作　　者：祝恒佳 邝晨阳 吕晓 ZHU Hengjia;KUANG Chenyang;LYU Xiao(College of Aeronautical Engineering,Civil Aviation University of China,Tianjin 300300,China;Aviation Special Ground Equipment Research Base,CAAC,Tianjin 300300,China)

机构地区：[1]中国民航大学航空工程学院,天津300300 [2]中国民航航空地面特种设备研究基地,天津300300

出　　处：《机床与液压》2022年第19期109-114,共6页Machine Tool & Hydraulics

基　　金：国家自然科学基金青年科学基金项目(12002367);国家自然科学基金民航联合研究基金重点支持项目(U2033208)。

摘　　要：刚体(航空发动机、汽车动力总成等)转动惯量与系统振动、耐久、稳定性等动力学性能紧密相关,提升刚体转动惯量测量精度对系统动力学分析具有重要意义。考虑摆线质量影响,基于能量守恒定律改进三线摆刚体转动惯量计算方法,建立三线摆测量系统的虚拟样机模型并进行验证,对比分析了改进方法与不考虑摆线质量的三线摆转动惯量计算方法的测量精度,进一步研究了匀质摆线的线密度和长度对转动惯量测量精度的影响规律。通过虚拟样机技术验证了改进计算方法比改进前测量误差降低了50%左右,可显著提高三线摆法测量精度。The rotational inertia of a rigid body(aero-engine,automotive powertrain,etc.)is closely related to the system’s dynamic performances in terms of the vibration,structural durability,stability and so on.It is of great significance to improve the measuring accuracy of the rigid body rotational inertia for the system dynamic analysis.A calculation method for the rigid body’s rotational inertia through the trifilar pendulum testing was developed by considering the influence of cycloid mass based on the law of energy conservation.A virtual prototype model of the trifilar pendulum testing system was established for the proposed method validation.The calculation errors were compared between the proposed method and the one without considering the cycloid mass effects.The effects of the cycloid’s linear density and length on the testing error for the rotational inertia were further investigated.It is shown that using the proposed calculation method,the testing error can be reduced by about 50%compared with that without considering the cycloid mass through the virtual testing,and the testing accuracy of the trifilar pendulum method can be significantly improved.

关 键 词：三线摆 转动惯量 摆线 虚拟样机技术 

分 类 号：TH113[机械工程—机械设计及理论] U467.4[机械工程—车辆工程] V216.8[交通运输工程—载运工具运用工程]