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    鲍洪, 安琦. 渐开线直齿轮轮齿载荷及应力计算方法[J]. 华东理工大学学报(自然科学版), 2012, (1): 116-122.
    引用本文: 鲍洪, 安琦. 渐开线直齿轮轮齿载荷及应力计算方法[J]. 华东理工大学学报(自然科学版), 2012, (1): 116-122.
    BAO Hong, AN Qi. A Method of Calculating Load and Stress of Involute Spur Gear[J]. Journal of East China University of Science and Technology, 2012, (1): 116-122.
    Citation: BAO Hong, AN Qi. A Method of Calculating Load and Stress of Involute Spur Gear[J]. Journal of East China University of Science and Technology, 2012, (1): 116-122.

    渐开线直齿轮轮齿载荷及应力计算方法

    A Method of Calculating Load and Stress of Involute Spur Gear

    • 摘要: 齿轮在工作过程中,由于存在单对齿与双对齿的交替啮合、齿轮的啮合点位置不断发生变化、齿轮在啮合中产生弹性变形等原因,使得齿轮的载荷十分复杂,要精确计算齿轮啮合过程的受力较为困难。对渐开线直齿轮的啮合过程进行了分析,建立了齿间载荷分布的基本力学模型,分析了齿轮啮合过程的变形协调关系,推导了参与啮合的轮齿所发生的各种挠曲变形和弹性接触变形的计算模型,进而建立了能够精确计算齿轮啮合过程中受力的计算方法。通过一个具体的计算实例,计算了齿轮啮合过程中齿面受力、齿根应力和齿面接触应力的变化规律,并用曲线进行描述。此计算方法能够较为精确地计算齿轮在啮合过程中不同位置的受力和应力,为精确进行渐开线齿轮的力学分析提供了一种有效的新方法。

       

      Abstract: Due to the alternation between single and double pairs of teeth meshing, continuous change of meshing point along the line of contact and the elastic deformation of teeth, the load of gear teeth is quite complicated during the meshing. It is difficult to calculate the load of teeth accurately during the meshing. In this paper, according to the analysis of the meshing process of involute spur gear, a mechanical model is developed to study the load distribution among the teeth. Then the deformation compatibility in the meshing process is analyzed, and the calculating models of various deflection and elastic contact deformation of teeth are derived. A method for calculating the load and stress of involute spur gear is developed. Taking a pair of involute spur gear for example, the load of gear teeth, teeth root stress and elastic contact stress are calculated, and the curves described the variation of the load and stress are obtained respectively. Using the calculating method proposed in this paper, the more precise load and stress of teeth at any position in meshing cycle can be calculated. It is a new effective way for accurately analyzing the mechanics of involute spur gear.

       

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