Detection of nonuniform residual strain in a pipe

Abstract

On the basis of the general linearized statement of the problem on motion of prestressed elastic anisotropic body, we formulate the boundary value problem on steady-state radial vibration of elastic isotropic pipe. We present a comparative analysis of the influence of residual stress and strain levels on frequency response functions of the pipe. We formulate the inverse problem on identification of the inhomogeneous residual stress–strain state on the basis of the additional data on the displacement function at the external radius measured in some frequency range. To solve the inverse problem, we propose a special iterative approach based on the regularization technique. A representative series of computational experiments on a reconstruction of different residual strain functions is conducted.