基于线性回归模型的复变函数极限求解方法

Complex Function Limit Solution with Linear Regression Model

对于机械加工中的圆形边界问题,目前多采用复变函数的形式完成计算并获取有效数据。但传统的复变函数极限求解方法在计算的过程中对半无穷大板的设定条件较为单一,极大的影响了复变函数极限求解方法的使用效果。针对此问题,设计基于线性回归模型的复变函数极限求解方法,构建等压条件下圆形孔口坐标系,通过位移与应力,完成对复变函数的应力分析。采用此分析结果,构建复应力函数并计算复变函数计算系数。将计算系数与线性回归模型相结合,构建半无穷大板,完成复变函数极限求解。至此,基于线性回归模型的复变函数极限求解方法设计完成。构建算例分析环节,将复变函数极限求解方法的使用效果分割为3个指标,作为此方法与传统方法对比对象。选定算例完成对比,通过测试结果可知此方法的使用效果优于传统方法。综上结果表明,在实际的工程中可以引用基于线性回归模型的复变函数极限求解方法完成计算过程。

For the circular boundary problem in machining,the complex function is usually used to complete the calculation and obtain effective data.However,the traditional complex function limit solution method has a single setting condition for the semi-infinite plate in the calculation process,which greatly affects the application effect of the complex function limit solution method.To deal with this problem,a limit solution method of complex variable function based on linear regression model was designed.The coordinate system of circular orifice under the condition of constant pressure was constructed,and the stress analysis of complex variable function was completed by displacement and stress,with which the complex stress function was constructed and the calculation coefficient of the complex variable function was calculated.By combining the calculation coefficient with the linear regression model,a semi-infinite plate was constructed to solve the limit of complex variable function.To carry out the example analysis,the application effect of this method is examined with three indexes,by which to compare with the traditional method.The test results showed that this method was better than the traditional method.