Damage detection using a new regularization method with variable parameter

In this research, a sensitivity approach to finite element model updating is used to determine stiffness reduction factors from measured structural response. The used method causes a set of nonlinear ill-conditioned equations that need to be linearized and regularized in order to find the solution. A new approach to solve the problem is presented using variable regularization parameter. Utilization of variable regularization parameter eliminates dependency on the number of iterations and prevents the loss of regularization effect due to iterations. A new stopping criteria is used which is based on the difference between mean and variance of last iterations. Furthermore the results show that using wavelet transform to update the model yields better results than modal parameters. Expedient performance of the proposed method is shown through a numerical simulation.