摘要
采用集中参数法建立了面齿轮-行星传动串联系统的平移-扭转耦合动力学模型,对该系统的固有频率进行求解.对系统的振动模式进行分析,计算了模态应变能和模态动能,研究了啮合刚度、支撑刚度、扭转刚度和构件质量对固有频率的影响.结果表明:系统的固有频率重根数有3种,即一重根、二重根、三重根.振动模式分别为:面齿轮扭转-轴向振动,中心构件扭转振动模式;面齿轮平移振动模式;中心构件平移振动模式;直齿轮振动模式.分析了各齿轮模态应变能和模态动能较大时所对应的模态阶次,构件此时的变形较大,振动较剧烈.研究刚度和质量对固有频率的影响,为通过优化系统参数避开传动系统共振区提供了理论依据.
The centralized parameter method was used to establish the translation-torsion coupling dynamic model of the face gearplanetary gear compound transmission system,the natural frequency of the system was solved,the vibration mode of the system was analyzed,and the modal strain energy and modal kinetic energy were calculated.The effects of meshing stiffness,supporting stiffness,torsional stiffness,and component mass on natural frequencies were studied.The results show that there are three types of natural frequency double roots,namely,single root,double root,and triple root.The vibration modes are:face gear torsional-axial vibration,center component torsional vibration mode,face gear translation vibration mode,center component translation vibration mode,and spur gear vibration mode.The modal order of each gear with high modal strain energy and kinetic energy is analyzed,which shows that the deformation of the component is large and the vibration is violent.The influence of stiffness and mass on the natural frequency is studied,which provides a theoretical basis for avoiding the resonance region of the transmission system by optimizing the system parameters.
作者
莫帅
岳宗享
冯志友
高瀚君
MO Shuai;YUE Zongxiang;FENG Zhiyou;GAO Hanjun(School of Mechanical Engineering,Tiangong University,Tianjin 300387,China;Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology,Tiangong University,Tianjin 300387,China;The State Key Laboratory of Materials Processing and Die and Mould Technology,Huazhong University of Science and Technology,Wuhan 430074,China;State Key Laboratory of Virtual Reality Technology and Systems,Beihang University,Beijing 100191,China)
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2021年第1期24-30,共7页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(51805368)
中国科协青年人才托举工程资助项目(2018QNRC001)
华中科技大学材料成形与模具技术国家重点实验室开放基金资助项目(P2019-022)
中国纺织工业联合会应用基础科研项目(J201806)
天津市研究生科研创新项目。
关键词
面齿轮
行星传动
固有频率
振型
模态能
face gear
planetary transmission
natural frequency
mode of vibration
modal energy
