不同齿根裂纹深度的啮合刚度与振动响应分析
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TH132

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国家自然科学基金资助项目(51675350);辽宁省教育厅科学研究资助项目(LQGD2020016)


Analysis of Meshing Stiffness and Vibration Response of Tooth with Root Crack in Different Depth
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    摘要:

    针对裂纹对啮合刚度的影响,首先,利用裂纹尖端到单齿中线的距离(hc1,hc2)与1/2齿顶圆齿厚(hr)的关系把齿根裂纹模型分为3种情况,利用能量法原理分析啮合刚度随着裂纹深度增大的变化趋势;其次,通过有限元法分析不同深度的齿根裂纹齿轮啮合刚度,进而验证了模型的有效性;最后在啮合刚度的基础上,建立齿轮系统动力学模型,分析含不同齿根裂纹深度的齿轮系统振动响应。研究表明,啮合刚度随着裂纹深度的增大而减小,且减小幅度逐步增大,当裂纹深度大于50%时减小幅度加剧;振动响应随裂纹深度的增大而加剧且出现周期性冲击,啮合频率附近产生微小杂频,相位图和庞加莱图中轨迹和离散点聚集区逐步增大。

    Abstract:

    First, the models of tooth with root cracks are classified into three types according to the relation between the distance from the crack tip to the centerline of a tooth and half of the tooth thickness. For each model, the expression of meshing stiffness changed with the crack depth is derived based on the energy method. Then, the meshing stiffness are analyzed by the finite element method to prove that the proposed models are effective. Finally, the dynamic model of gear system is established based on the expressions of meshing stiffness to analyze the vibration response of the gear system. The results show that the meshing stiffness decreases as the depth of crack increases. The deeper the crack is, the faster the stiffness decreases. When the parameter that represents the crack depth is larger than 50%, the stiffness decreases sharply. The vibration response intensifies and suffers the periodic impact as the crack depth increases . Furthermore, when the frequency is close to the meshing frequency, small clutters occur, the trajectory in the phase diagrams extends and the aggregation region of discrete points in the Poincare diagrams expands.

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  • 在线发布日期: 2021-07-05
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