锥齿轮铣齿机主轴刀盘部件装配误差建模与优化设计

Modeling and optimization design of assembly errors in the spindle cutter disc component of a bevel gear milling machine

首先基于小位移旋量建立几何要素误差模型,通过蒙特卡洛模拟法和响应面法获得误差参数实际变动区间带宽及其与公差的函数关系,建立配合面的误差模型,研究串联和并联配合下的误差传递属性;其次提出以公差成本为目标,以装配精度可靠度与公差原则为约束的公差优化模型;最后,对锥齿轮铣齿机的主轴刀盘部件完成公差优化分析。研究发现,在保证装配精度可靠度不小于97%的前提下,公差加工成本降低了8.36%,这表明了该方法在指导公差设计方面的价值。

Firstly,a geometric feature error model is established based on small displacement torsor.The actual variation bandwidth of error parameters and their functional relationship with tolerances are obtained through Monte Carlo simulation and response surface method.An error model of mating surfaces is established to study the error transmission properties in both series and parallel mating.Secondly,a tolerance optimization model is proposed,targeting tolerance cost and constrained by assembly precision reliability and tolerance principles.Finally,the tolerance optimization analysis for the spindle cutter head component of a bevel gear milling machine is completed.It is found that under the premise that the reliability of assembly accuracy is not less than 97%,the cost of tolerance machining is reduced by 8.36%,which indicates the value of this method in guiding tolerance design.