摘要
抛弃把轮齿形状视为悬臂梁的假设,直接从实际齿形出发,以相似理论为基础,通过边界元采样计算和回归分析,建立了齿根应力、轮齿挠度和啮合刚度计算的新方法。分别提出了弯曲与接触强度端面载荷系数的定义式和新的计算式。提出了实际双齿啮合必要和充分条件及实际重合度的概念及公式。提出了一种新的重合度系数公式。比较分析了ISO6 336的一些问题。所给齿根应力计算新方法不需种种假设、理论基础先进、实际准确性好、计算大为简化,可以取代W .Lewis的悬臂梁方法。其余所给公式亦较明确合理。
Abandoning the method of regarding the gear tooth form as the cantilever beam, this paper sets up a new method to calculate gear tooth-root stress, tooth deflection and mesh stiffness directly according to the real tooth form by the boundary element sampling calculations and the regressive analysis based on the principle of similitude. The definition formulas and new calculation formulas for transverse load factors of tooth strength and surface durability are proposed. The formulas of essential and sufficient conditions for actual double pair tooth engagement, as well as the formula of actual contact ratio, are also proposed. A new formula of contact ratio factor is proposed. Compared with the formulas in ISO6336, some problems are analyzed. The new method proposed to calculate tooth root stress doesn't require any assumptions, is advanced in theory, simple and accurate in calculation. Therefore, the new method may replace the cantilever beam method proposed by W. Lewis. Other formulas proposed are also rather reasonable. It is suggested that the new methods be adopted in ISO 6366 standard.
出处
《机械传动》
CSCD
北大核心
2005年第3期12-17,共6页
Journal of Mechanical Transmission
关键词
齿轮
齿根应力
轮齿挠度
啮合刚度
端面载荷系数
ISO 6336 Gear strength Tooth root stress Tooth deflection Mesh stiffness Load factor
