湖南大学学报（自然科学版）2018，Vol.45Issue(2)：1-10,10.DOI:10.16339/j.cnki.hdxbzkb.2018.02.01
斜齿轮时变啮合刚度算法修正及影响因素研究
Study on Correction Algorithm of Time-varying Mesh Stiffness of Helical Gears and Its Influencing Factors
摘要
Abstract
Due to the inaccuracy of potential energy method in calculation of time-varying mesh stiff-ness of helical gears,a stiffness correction algorithm was proposed.Considering the different expressions for the length of contact lines of single tooth on two kinds of situations in which the transverse contact ra-tio is greater or less than the overlap ratio,a non-uniform cantilever beam model was established when root circle and base circle misaligned,and then the mesh stiffness of helical gears was derived and calculated by using slice-integral method.By comparing with ISO standard and finite element method,the feasibility of the proposed correction algorithm was verified.Meanwhile,a parametric study was conducted to investi-gate the effects of various parameters,such as helix angle,normal module,tooth number,face width and normal pressure angle on the behavior of mesh stiffness.The calculation and analysis indicate that the rela-tive time of the engaging-in section is related to the proportion values of transverse contact ratio and over-lap ratio.Variation of gear parameters affects the fluctuation value of total mesh stiffness and average mesh stiffness by changing the contact ratios and single mesh stiffness.In addition,the fluctuation is little when the transverse contact ratio or overlap ratio is close to an integer,while it fluctuates more intensively when the total contact ratio is close to an integer.Compared with the traditional potential energy method, the precision of correction algorithm in calculating time-varying mesh stiffness of helical gears is obviously improved.It has relatively better practicability in the accurate calculation of stiffness excitation of helical gears.关键词
势能法/斜齿轮/时变啮合刚度/重合度Key words
potential energy method/helical gears/time-varying mesh stiffness/contact ratios分类
机械制造引用本文复制引用
刘文,李锐,张晋红,林腾蛟,杨云..斜齿轮时变啮合刚度算法修正及影响因素研究[J].湖南大学学报（自然科学版）,2018,45(2):1-10,10.基金项目
国家科技支撑计划资助项目(2015BAF06B02),National Key Technology Support Program(2015BAF06B02) （2015BAF06B02）
国家自然科学基金资助项目(51175524),National Natural Science Foundation of China(51175524) （51175524）
