典型文献
Theoretical analysis of nonlinear vibration characteristics of gear pair with shafts
文献摘要:
The circumferential vibration of a gear pair is a parametric excitation caused by nonlinear tooth stiffness, which fluctuates with meshing. In addition, the vibration characteristics of the gear pair become com- plicated owing to the tooth profile error and backlash. It is considered that the circumferential vibration of the gear pair is affected by the torsional vibration of the shafts. It is important to understand quan- titatively the vibration characteristics of the gear system considering the shafts. Therefore, the purpose of this research was to clarify the nonlinear vibration characteristics of a gear pair considering the influ- ence of the shafts using theoretical methods. To achieve this objective, calculations were performed using equations of motion in which the circumferential vibration of the gear pair and the torsional vibration of the shafts were coupled. The nonlinear tooth stiffness was represented by a sine wave. The influence of tooth separation was considered by defining a nonlinear function using backlash and the tooth profile error. For the numerical calculations, both stable and unstable periodic solutions were obtained by using the shooting method. The effect of the shafts on the gear system vibration were clarified by comparing the results in the cases in which the shaft was not considered, one shaft was considered, and both shafts were considered.
文献关键词:
中图分类号:
作者姓名:
Tatsuhito Aihara;Kensho Sakamoto
作者机构:
Department of Mechanical Engineering,Faculty of Science and Engineering,Hosei University,3-7-2 Kajinocho,Koganei-shi,Tokyo,Japan
文献出处:
引用格式:
[1]Tatsuhito Aihara;Kensho Sakamoto-.Theoretical analysis of nonlinear vibration characteristics of gear pair with shafts)[J].力学快报(英文),2022(02):85-91
A类:
B类:
Theoretical,analysis,nonlinear,vibration,characteristics,gear,pair,shafts,circumferential,parametric,excitation,caused,by,tooth,stiffness,which,fluctuates,meshing,In,addition,become,plicated,owing,profile,error,backlash,It,considered,that,affected,torsional,important,understand,quan,titatively,system,considering,Therefore,purpose,this,research,was,clarify,using,theoretical,methods,To,achieve,objective,calculations,were,performed,equations,motion,coupled,represented,sine,wave,influence,separation,defining,function,For,numerical,both,unstable,periodic,solutions,obtained,shooting,effect,clarified,comparing,results,cases,not,one
AB值:
0.403814
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