圆柱虫集接触应力能力模型

IF 1.2 Q3 ENGINEERING, MECHANICAL
E. Osakue, Lucky Anetor
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引用次数: 0

摘要

将圆柱蜗杆视为与螺旋齿轮配合的螺旋齿条,导出了圆柱蜗杆组的接触应力能力表达式。在接触应力能力模型的推导中,采用了由螺旋齿轮虚面瞬时曲率半径定义的螺旋齿轮等效正齿轮的概念。表达式中包含了蜗杆和齿轮的所有基本设计参数,清晰地显示了蜗杆和蜗杆的公称螺旋角对接触应力的影响。通过考虑蜗杆与齿轮啮合的几何形状,定义了蜗杆的主动齿面宽度和主动螺纹长度,并用于估算齿轮齿间的载荷分担。这使得虫形网格中的运动和力的相互作用可以通过半经验因素捕获,这是以前没有考虑过的一个方面。新模型还考虑了多线程蠕虫,这似乎到目前为止还没有得到处理。考虑到不同的蜗杆齿形设计和啮合摩擦,对圆柱齿轮的工作载荷因子表达式进行了修正。采用不同参考文献中提出的新接触应力容量模型进行了四个接触应力计算实例。将新模型的接触应力估计值与以前的解值进行了比较。以前和新模型值之间的估计百分比差异在-4.5%至0.3%的范围内。这些差异表明了一个非常有利的比较,应该激发一些信心,使用新模型的初步设计任务的圆柱形虫集。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A contact stress capacity model for cylindrical wormsets
A contact stress capacity expression is derived for cylindrical worm sets by considering the worm as a helical rack mating with a helical gear. The concept of the equivalent spur gear for a helical gear defined by the instantaneous radius of curvature in the virtual plane of the helical gear is utilized in the contact stress capacity model formulation. All the basic design parameters of worm and gear are incorporated in the expression which explicitly shows the influence of the base and nominal helix angles on the contact stress. By considering the geometry of the worm and gear in engagement, active gear face width and active threaded length of the worm are defined and used to estimate load sharing among gear teeth. This allows the interaction of motion and forces in wormset meshes to be captured by a semi-empirical factor, an aspect not previously considered. The new model also accounts for multiple threaded worms which seem not to have been treated till now. The service load factor expression for cylindrical gears is modified for wormsets to take account of different worm thread profile designs and mesh friction. Four illustrative examples of contact stress computations are carried out using the new contact stress capacity model for wormset designs from different references. The contact stress estimates from the new model are compared with previous solution values. The estimated percentage variances between the previous and new model values are within the range of -4.5% to 0.3%. These variances indicate excellent to a very favorable comparison that should inspire some confidence in using the new model for preliminary design tasks of cylindrical wormsets.
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来源期刊
FME Transactions
FME Transactions ENGINEERING, MECHANICAL-
CiteScore
3.60
自引率
31.20%
发文量
24
审稿时长
12 weeks
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