Adaptive Tikhonov Regularization for Simultaneous Identification of Structural Parameters and Input

Abstract

This paper aims at applying the adaptive Tikhonov regularization to realize the simultaneous identification of structural physical parameters and input based on dynamic response sensitivity. The theories of the simultaneous identification algorithm and the adaptive Tikhonov regularization were first briefly introduced, and then a twelve story shear frame was studied for validating the proposed method. Numerical simulations with noisy measured accelerations show that the proposed method can accurately identify structural parameters and unknown support excitation from only several responses of the structure, and this method can provide a new approach for structural model updating or damage detection with unknown input and incomplete measured output information.