Crack detection for structure based on the dynamic stiffness model and the inverse problem of vibration

Abstract

Detecting cracks in structures is a problem of great importance and difficulty in engineering. This work concerns the problem of crack detection for structure using its dynamical characteristics. First, a dynamic stiffness model of framed structure with multi-cracked 3D beam elements has been conducted as a basic instrument for analysis of framed structure with cracked members. Then, the crack detection problem for structures based on the conducted model is formulated in the form of a parameter estimation problem and solved by using the nonlinear programming method. The theory has been illustrated by some numerical results.