Inverse problem of estimating interface conductance between periodically contacting surfaces using the weighting input estimation method

This work applied an on-line inverse solution methodology based on the weighting input estimation method to determine the interface contact conductance between periodically contacting surfaces. This method is based on the Kalman filtering technique and a recursive least-squares estimator. This recursive least-squares estimator is weighted by the forgetting factor,, and proposed for extracting the unknowns. The weighting technique is essential, since the unknown input is time-varied and has an unpredictable changing status. The superior capabilities of this inverse method are demonstrated in several one-dimension time-varying estimate cases and the proposed algorithm is compared with the conjugate gradient method. Results show that this method has the advantages of stability, fast convergence, good accuracy, and demonstrates that only a fen, measurement sensors are needed.