完全接触条件下轴孔过盈配合的解析解

摘要

在过盈配合的设计标准中,将空间问题处理成平面应力问题,必然会产生误差.建立弹性力学轴孔过盈配合空间轴对称模型,采用完全接触条件,用级数法推导了满足边界条件和完全接触条件的空间轴对称问题的Papkovich-Neuber解.得到轴孔过盈配合的解析解,所得的解析解可以作为过盈配合设计的标准.所得的解析解中含有贝塞尔函数,可以通过贝塞尔函数的性质来研究轴孔过盈配合的性质.%There must be the errors in the design standard of interference fit join when the space problem is simplified to plane question. This paper sets up the elastic mechanics space axial symmetry pattern of interference fit join of hub,adopts complete contact conditions to interfer in the Papkovich-Neuber solution of space axial symmetrical problem, which satisfies boundary conditions and complete contact conditions by the method and gives out analytical solution of interference fit join of hub, which may be taken as the design standard and contains the Bessel function, so the qualities of interference fit join of hub are studied by researching on the characteristics of Bessel function.