| 郝菊文,党兴武,彭斌.动静涡旋盘齿顶摩擦副摩擦力分形预测模型[J].计算力学学报,2025,42(4):678~684 |
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| 动静涡旋盘齿顶摩擦副摩擦力分形预测模型 |
| Fractal prediction model for friction force of tip friction pair of fixed and orbiting scroll plates |
| 投稿时间：2023-09-20 修订日期：2023-12-06 |
| DOI：10.7511/jslx20230920002 |
| 中文关键词: 涡旋盘 齿顶 摩擦力 分形理论 预测模型 |
| 英文关键词:scroll plate tooth top friction force fractal theory prediction model |
| 基金项目:国家自然科学基金(51966009)资助项目. |
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| 中文摘要: |
| 涡旋压缩机动静涡旋盘齿顶摩擦副的摩擦磨损会造成气体泄漏与整机振动等不良影响。通过对动静涡旋盘齿顶摩擦副接触表面微观接触分析和动涡旋盘的受力分析,基于分形理论建立了动静涡旋盘齿顶摩擦副摩擦力分形预测模型。并采用数值仿真研究了涡旋压缩机在一个周期工作内,主轴转角θ、分形维数D、无量纲特征尺度参数G*及无量纲真实接触面积A*r等参数对摩擦力F的影响规律。结果表明,摩擦副的真实接触面积和摩擦力在开始排气角θ*处达到最大值;摩擦力F随分形维数D增大先减小后增大,存在一最佳分形维数使得摩擦力最小;随无量纲特征尺度参数G*及无量纲真实接触面积A*r的减小而减小。 |
| 英文摘要: |
| The friction wear of the dynamic and static scroll plate gear top of a scroll compressor will cause gas leakage and machine vibration and other adverse effects.Through a microscopic contact analysis of the contact surface of the tooth top of the dynamic and static scroll disk and the force analysis of the dynamic scroll disk,a fractal prediction model of the friction force of the friction pair of the tooth top of the moving and static scroll plate is established based on the fractal theory.And numerical simulation is used to investigate the influence of parameters such as spindle rotation angle θ,fractal dimension D,dimensionless characteristic scale parameter A*r and dimensionless real contact area A*r on the friction force F of the scroll compressor in one cycle of operation.The results show that the real contact area and friction force of the friction pair reach the maximum value at θ*;the friction force F,decreases and then increases with the increase of D,and there exists an optimal fractal dimension D that minimizes the friction force;and decreases with the decreases of the G* and the A*r. |
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