This paper examines centre winding of coils under the assumption that the material is linear and orthotropic. A radically different approach is taken in the analysis of residue stresses in the coils. Instead of the forward solution of determining the residue stresses from the given winding stress profile, as traditionally adopted in this field of research, an inverse solution is obtained in which the winding tension profile is determined from the prescribed residue stresses. This approach offers significant advantages in industrial applications, since the preferred residue stress distributions to prevent coiling problems, such as tight-bore collapses and coil slump, are often specified. Numerical results from the inverse solution are found to be in perfect agreement with the forward solution.
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