摘要
本文用三维接触分析方法确定了斜齿轮齿面的载荷分布,进而用线接触弹流理论和Block基本公式分别计算了斜齿轮在工作状态下的齿面闪温分布,计算结果可与ISO标准的闪温准则联系应用,为航空斜齿轮的胶合强度校核提供了一种比较精确的计算方法。
Scuffing failure risk can be predicted by the surface temperature of gear teeth. Up to
now, Block's equation is widely used for evaluating the flash temperature of spur gears.
But for 3-D temperature distribution or tooth suface of helical gear, to make use of
Block's equation is much more difficult. ISO / DIS 6336/ 4 [1] treats helical gear as spur
gear, but this will lead to much error.
Simon in 1988 [6] uses an elaborate theoretical approach to obtain 3-D flash tempera-
ture distribution of tooth suface of helical gear. His method appears to be inconvenient in
engineering design.
In this paper, a more accurate and still convenient method for the flash temperature of
helical gear teeth is presented. The load distributions on tooth contact lines are obtained by
using 3-D finite element method and mathematical programming technique. Then the rela-
tive velocities and curvature radii of nodes on tooth meshing surface are calculated. Finaly,
the 3-D flash temperature distribution on teeth is evaluated by either of two different
methods as follows.
(1) Block's basic equation is used to treat 3-D flash temperature distribution of tooth
surface of helical gear. This gives the flash temperature of every node on tooth surface due
to load, relative velocity, curvature radii. roughness. viscosity of oil, etc. Though more
complicated than ISO / DIS 6336 / 4, it is still relatively convenient for engineering design,
because the authors analysis contains the same useful criteria adopted by ISO/DIS
6336 / 4.
(2) Thermal elastohydro-dynamic analysis of line contact is used. The analysis re-
quires the simultaneous solution of several differential equations for the boundary layer of
oil: motion, Reynolds, viscosity, density, thickness, temperature and energy equations.
Their numerical solution provides the pressure and temperature distributions of helical gear
teeth. This method is more elaborate than the first method using Block equations, but less
elaborate than Simon's method.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1992年第2期220-226,共7页
Journal of Northwestern Polytechnical University
