On the sensitivity of the equivalent dynamic stiffness mapping technique to measurement noise and modelling error

The objective of this study is to investigate the sensitivity Equivalent Dynamic Stiffness Mapping (EDSM) identification method typical types inaccuracy that are often present during process. These sources may include presence noise in simulated/measured data, expansion error estimation unmeasured coordinates, modelling updated underlying linear model, and due neglecting higher harmonics nonlinear response system. An analytical performed identify structural nonlinearities two systems, a discrete three-DOF Duffing system cantilever beam with restoring force applied tip beam, considering all aforementioned inaccuracy. First, EDSM technique utilized elements example systems verify accuracy technique. Finite Element modelling, Modified Complex Averaging Technique (MCXA), arc-length continuation exploited obtain steady state dynamics systems. Numerical models then simulated MATLAB numerical results simulation used unknown using effect different on outcome has been regenerated identified parameters generated compared absence any or error. capable identifying accurately source although, based results, highly sensitive significant model Finally, an optimization-based framework, developed by authors, It shown optimization method, significantly reduced. Indeed, necessity use consider eliminated.