A method for system identification using the optimality criteria optimization approach

Abstract

A b s t r a c tAn algorithm similar to the optimality criteria approach used in structural optimization is presented for identifying stiffnesses of structural members by using vibration test data. A set of equivalent static inertia forces are obtained from the vibration analysis using d'Alembert's principle and are used to solve the multiple displacement constraint problem. The displacement constraint values are specified based on the measured experimental modal displacement data at critical locations. The algorithm is used to find the changes needed in the stiffnesses of the elements and the distribution of nonstructural mass of the nominal analytical model to correlate the analytical and experimental data. The algorithm alternates between the vibration analysis and static analysis to find the equivalent load vector and modify the stiffnesses. The identified stiffness properties of the structural elements can be used to control and study the dynamic response of the structure.

Identification of damage in beam and plate structures using parameter‐dependent frequency changes

“…The application of model updating method to damage identification using incomplete data was applied in some works, e.g. Fritzen et al (1998), Friswell and Mottershead (1995) and Khot and Berke (1994). A general sensitivity study of natural frequencies and modes with respect to crack and holes was presented by Gudmundson (1982), Burczyn Âski andPolch (1994), and also by Garstecki and Thermann (1992) and Dems and Mro Âz (1989) for geometrically non-linear vibration and stability problems.…”