Damage assessment of linear structures by a static approach, I: Theory andformulation

The objective of this research is to propose a new global damage detection parameter, termed as the static defect energy (SDE). This candidate paramet er possesses the ability to detect, locate and quantify structural damage. To have a full understanding about this parameter and its applications, the scope of work can be divided into several tasks: theory and formulation, n umerical simulation studies, experimental verification and feasibility stud ies. This paper only deals with the first part of the task. Brief introduct ion will be given to the dynamic defect energy (DDE) after systematically r eviewing the previous works. Process of applying the perturbation method to the oscillatory system to obtain a static expression will be followed. Two implementation methods can be used to obtain SDE equations and the diagram s. Both results are equally good for damage detection.