Strict axisymmetric deformation analysis of shaft linings considering shaft-curing load

For the mechanical effect of restricting inside linings to cure shafts,the strict axisymmetric deformation analysis method was established for the shafts under restricted state in special strata.The problem was divided into symmetrical and antisymmetric parts.Proper progressional form of Love stress function was selected by using the symmetic characters of each subproblem.The double series expansion method was applied.The lateral boundary was expanded in Fourier series while the end boundary was expanded in Fourier-Bessel series,and equations were established by comparing coefficients of the above series.Elastic solution of shaft linings under arbitrary axisymmetric lateral and end stress boundary was obtained by solving these equations.An example was presented for using restricting method to cure shaft linings,and the fourth strength theory was applied to study the security of the shafts.It was shown that the equivalent stress of the inner shaft part within the restricted area was decreased after restriction,and the shaft security was improved effectively.