Modeling and Estimation of Structural Damage

Modeling and Estimation of Structural Damage comprehensively provides modelling and estimation tools required for the detection and identification of structural damage. Essential probabilistic and deterministic modelling tools are rigorously developed and supported with examples. Decision theory is also introduced.

This book explores the influence of nonlinearity on structural response data and derives analytical expressions for the statistical properties of nonlinear system responses and compares those expressions to estimates. The methods used to identify damage-induced nonlinearity (e.g. surrogate data methods) have not been described elsewhere. Numerical and experimental examples are included throughout and in the final chapter all of the information is integrated to create an optimal approach to making decisions in structural dynamics problems.  This final step demonstrates how to formally balance structural safety, usage, and maintenance costs.