剃齿变形量计算与刀具修形曲线拟合应用
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摘要
以剃齿加工中凹问题为研究对象,通过理论计算与实验分析相结合,开展剃齿变形量计算与刀具修形拟合分析。运用简化力学模型分析不同接触点数目条件下的受力情况,基于弹性及材料力学理论分别计算瞬态接触及弯曲变形,进而获取总变形量;提出改善中凹问题的剃齿刀修形方法,基于给定数值实例利用最小二乘法对变形量结果进行分析处理,拟合修形曲线。研究结论对于利用剃齿刀具修形解决中凹问题具有重要的参考价值。
Taking the concave problem of shaving process as the research object,the deformation amount calculation of shaving gear and fitting analysis of modification curve are carried out through the theoretical and experimental methods. Using simplified mechanical model,the forces under conditions of different number of contacts points are analyzed. Based on the theories of elasticity and material mechanics,the transient contact and bending deformation are calculated respectively. Then the total deformation is obtained. The modification method of shaving cutter for improving the concave problem is proposed and modification fitting curve is also worked out based on the results of deformation process by least square method. The conclusion has reference value for improving the concave problem using modification approach of shaving cutter.
Taking the concave problem of shaving process as the research object,the deformation amount calculation of shaving gear and fitting analysis of modification curve are carried out through the theoretical and experimental methods. Using simplified mechanical model,the forces under conditions of different number of contacts points are analyzed. Based on the theories of elasticity and material mechanics,the transient contact and bending deformation are calculated respectively. Then the total deformation is obtained. The modification method of shaving cutter for improving the concave problem is proposed and modification fitting curve is also worked out based on the results of deformation process by least square method. The conclusion has reference value for improving the concave problem using modification approach of shaving cutter.
引文
[1]陈兵奎,梁栋,高艳娥.齿轮传动共轭曲线原理[J].机械工程学报,2014,50(1):130-136.
[2]Luo Shanming,Wu Yue,Wang Jian.The generation principle and mathematical models of a novel cosine gear drive[J].Mechanism and Machine Theory,2008,43(12):1543-1556.
[3]周锦进,李洪友,王晓明.齿轮表面质量对其使用性能和寿命影响的研究[J].机械科学与技术,2004,23(4):468-470.
[4]张祥儒,刘中令,关荣鑫.提高高速重载机车齿轮材料质量的途径[J].机械传动,2012,36(4):100-104,107.
[5]吕明,梁国星.硬齿面齿轮加工技术进展及展望[J].太原理工大学学报,2012,43(3):237-242.
[6]黄永荣.基于有限元法的正交面齿轮疲劳特性探究[J].机械传动,2014,38(8):51-55.
[7]左俊.剃齿加工仿真及齿形中凹误差机理研究[D].重庆:重庆大学,2012.
[8]蔡安江,郭师虹,董朝阳,等.剃齿刀精确修形技术[J].沈阳工业大学学报,2010,32(3):296-299.
[2]Luo Shanming,Wu Yue,Wang Jian.The generation principle and mathematical models of a novel cosine gear drive[J].Mechanism and Machine Theory,2008,43(12):1543-1556.
[3]周锦进,李洪友,王晓明.齿轮表面质量对其使用性能和寿命影响的研究[J].机械科学与技术,2004,23(4):468-470.
[4]张祥儒,刘中令,关荣鑫.提高高速重载机车齿轮材料质量的途径[J].机械传动,2012,36(4):100-104,107.
[5]吕明,梁国星.硬齿面齿轮加工技术进展及展望[J].太原理工大学学报,2012,43(3):237-242.
[6]黄永荣.基于有限元法的正交面齿轮疲劳特性探究[J].机械传动,2014,38(8):51-55.
[7]左俊.剃齿加工仿真及齿形中凹误差机理研究[D].重庆:重庆大学,2012.
[8]蔡安江,郭师虹,董朝阳,等.剃齿刀精确修形技术[J].沈阳工业大学学报,2010,32(3):296-299.