Analytical design method for beveloid gears with a small shaft angle and offset
Analytical design method for beveloid gears with a small shaft angle and offset
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小轴角小偏置锥齿轮解析设计方法
DOI：
10.1007/s10010-019-00369-y
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Bachmann
中科院分区：
文献类型：
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作者：
Marino;Bachmann
除了更复杂的侧面修改，有一个明显的趋势，以特殊的齿轮，这是反映在越来越多地使用锥齿轮。锥齿轮（锥形渐开线齿轮）越来越多地用于汽车和船舶齿轮箱以及工业齿轮箱（例如，用于双螺杆挤出机）。由于需求的不断增长，采用有目的的方法设计主传动参数至关重要。锥齿轮的一个主要优点是齿轮轴在空间内的任意布置。然而，需要一种普遍适用的设计方法，用于为可用的安装空间和所需的轴位置导出合适的主齿轮数据。大多数齿轮分析和优化工具特别需要这些主要齿轮数据作为已知输入。为了解决这个问题，本文介绍了一种设计方法来确定主要的齿轮数据的基础上，强度相关的方面和安装空间。本文考虑了变截面齿轮的几何特性，提出了一种变截面齿轮的解析设计方法，该方法能在不进行迭代的情况下，得到具有预定齿侧间隙的中心接触模式。除了直接确定齿轮传动数据外，齿轮传动参数的自由定义比率是新的。然后通过选定的例子证明了这种方法的适用性。与现有的设计策略相比，这里考虑了精确的数学网格条件，这使得随后的分析修改成为可能。
In addition to more sophisticated flank modifications, there is a discernible trend toward special gearing that is reflected in the increased use of beveloid gears. Beveloid gears (conical involute gears) are increasingly used in automotive and marine gearboxes, as well as in industrial gearboxes (e.g., for twin-screw extruders). Due to the rising demand, it is crucial to apply a purposeful method for designing the main gearing data. A key benefit of beveloid gears is the largely arbitrary arrangement of the gear axes within space. However, there is a need for a generally applicable design method for deriving suitable main gearing data for the available mounting space and the desired axis position. Most analysis and optimization tools for gearings particularly require these main gearing data as known input. To address this issue, this paper introduces a design method for determining the main gearing data based on strength-related aspects and mounting space. The geometric characteristics of beveloid gears are taken into account in order to subsequently optimize the designed gearings.An analytical design method for beveloid gears in arbitrary axis arrangements is presented: This yields a centered contact pattern with a predefined gear backlash without iterations. In addition to the direct determination of the gearing data, the freely definable ratios of the gearing parameters are new. The applicability of this method is then demonstrated by selected examples. Compared to existing design strategies, the exact mathematical mesh condition is taken into account here, which enables subsequent analytical modification.
DOI：
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发表时间：
2017
期刊：
影响因子：
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作者：
Timon Schöler;H. Binz;Matthias E. Bachmann
通讯作者：
Matthias E. Bachmann