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Reduced order Modeling, NNM’s

Nonlinear Vibrations and Structural Health Monitoring – Ongoing Projects T. D. Burton, NMSU Duke Workshop, May 27-28, 2010. Reduced order Modeling, NNM’s New Ritz vector (ala Chu/Milman) for systems with isolated NL’s: leads to more accurate low order ROM’s

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Reduced order Modeling, NNM’s

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  1. Nonlinear Vibrations and Structural Health Monitoring – Ongoing ProjectsT. D. Burton, NMSUDuke Workshop, May 27-28, 2010 Reduced order Modeling, NNM’s New Ritz vector (ala Chu/Milman) for systems with isolated NL’s: leads to more accurate low order ROM’s Numerical/analytical methods to find NNM’s for systems with isolated nonlinearities POD – discarded modes may contain useful info (e.g., overtones due to nonlinearity) POD + Ritz vector based ROM’s can extend range of validity

  2. NNM’s are good benchmark for ROM testing Structural Health Monitoring Hyperchaotic interrogation Vibration based SHM for combined damages (distributed, isolated, boundary) Changes in damping changes for SHM Electrical conductivity measurements for SHM

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