齿轮无摩擦接触的等几何分析研究

Research of the Isogeometric Analysis of Gear Frictionless Contact

使用等几何分析法进行平面无摩擦接触分析,采用罚函数法将接触约束条件引入系统势能函数,采用多片NURBS曲面片缝合的方式进行渐开线齿轮建模和接触分析,将计算结果与有限元解进行了对比,结果表明等几何分析法在分析接触问题时具有计算精度高、应力场更加光滑等优势,为解决接触问题提供了一种有效的方法。

The isogeometric analysis method（IGA）is expanded to frictionless contact problem.The contact constraint is introduced into the system potential energy function by using the penalty function method.The modeling and contact analysis of the involute gear are carried out by using the type of the multi-patch NURBS curved surface piece stitch.The result from IGA model is compared with that calculated by finite element model,and which shows that proposed method has advantages including high precision of calculation and smooth stress field,and an effective method for solving contact problem is provided.