摘要
本文提出了一种计算斜齿圆柱齿轮(含齿、轮缘、轮辐)啮合刚度和载荷分布的方法。首先建立斜齿轮的三维有限元模型,利用齿面坐标系及相应的坐标转换阵,可一次求得斜齿圆柱齿轮在整个啮合过程中诸接触线上的载荷分布和齿间载荷分配,大大地节省了计算时间。通过采用不同的辐板支承和选择不同的轮缘及轮辐尺寸,研究了轮缘和轮辐对被动齿轮的特性及计算振幅的影响,得到了一些有意义的结论。文末给出了考虑斜齿轮振动特性时,不同辐板支承情况下轮缘和辐板的推荐值。计算结果表明此方法对于研究三维复杂结构的齿轮振动问题是快速有效的。
For helical gears, few papers have been found because it is difficult to incorporate the boundary condition on both sides of a finite facewidth. Niemann discussed experimentally the noise problem of helical gears[1]. Considering the stiffness of helical gear teeth Umezawa has done much investigation on the vibration of helical gear teeth[2-6]. In Umezawa's research, the stiffness of the gear structure is assumed to be infinite, thus the calculated stiffness of the gears is higher than'the actual stiffness. With the advance of aeronautical technology, gear structure is becoming increasingly flexible. A number of aircraft accidents involving the vibration of helical gear structure have occured. It is less and less permissible to consider helical gear structure as infinitely stiff. It is necessary to study theoretically the vibration of helical gear structure as closely as possible as it really is. Such study is undertaken in this paper. This paper adopted 3-D finite element models which can conveniently take the flexibility of gear structure into account. The calculations can be carried out with a micro-computer and require relatively short CPU time and relatively limited computer memory. Finally the rational sizes of rim and web of helical gears for different web arrangements are recommended for improving the vibration characteristics of helical gears.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1989年第1期47-55,共9页
Journal of Northwestern Polytechnical University
基金
国家自然科学基金
航空部科学基金
关键词
斜齿轮
轮缘
轮辐
刚度
振动
helical gear, rim, web, stiffness, vibration.
