Structural Damage Localization Based on Rotational Flexibility Matrix

摘要

The inability of conventional flexibility method to multi-damage scenario is analyzed, and a new damage detection approach based on rotational flexibility matrix is proposed in this study. The mathematic form of rotational flexibility matrix is deduced in terms of modal parameters. The column of this matrix is the angles between string and horizon of each element resulting from a unit moment applied at an element. This concept for beam structures is further generalized for plate structures. The diagonal entry or the maximum of each column of the difference between rotational flexibility matrices for the pre and post damaged structures is calculated for damage localization. A damage locating indicator is then formulated by difference computing. The advantage of the proposed method over conventional flexibility method is demonstrated by a numerical example.