Sensitivity analysis of complex dynamic system modelling

Abstract

This paper presents a method for sensitivity analysis of undamped, viscously damped and proportionally damped structural systems based on modal parameters. The method invol es the usage of eigenvalues, eigenvectors and theory of adjoint structures to enable the study of the sensitivity of complex mechanical structures. The modal parameters are determined from the experimentally measured vibrational data, and later will be used to select the optimal locations for structural modification to reduce the vibration. They can also be used to determine the dynamic behavior of the structure before and after modification. In the present study, an example is provided to demonstrate the applicability and validity of the method.