Ioannis T. Georgiou
Ioannis T. Georgiou
Professor of Naval Architecture and Marine Engineering, National Technical University of Athens
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Dynamics of large scale coupled structural/mechanical systems: A singular perturbation/proper orthogonal decomposition approach
IT Georgiou, IB Schwartz
SIAM Journal on Applied Mathematics 59 (4), 1178-1207, 1999
Advanced proper orthogonal decomposition tools: using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of planar…
I Georgiou
Nonlinear dynamics 41 (1), 69-110, 2005
Interaction between slow and fast oscillations in an infinite degree-of-freedom linear system coupled to a nonlinear subsystem: Theory and experiment
IT Georgiou, I Schwartz, E Emaci, A Vakakis
Journal of Applied Mechanics 66 (2), 448-459, 1999
On the global geometric structure of the dynamics of the elastic pendulum
IT Georgiou
Nonlinear Dynamics 18 (1), 51-68, 1999
Slow and fast invariant manifolds, and normal modes in a two degree-of-freedom structural dynamical system with multiple equilibrium states
IT Georgiou, AK Bajaj, M Corless
International journal of non-linear mechanics 33 (2), 275-300, 1998
The slow invariant manifold of a conservative pendulum-oscillator system
IT Georgiou, IB Schwartz
International Journal of Bifurcation and Chaos 6 (04), 673-692, 1996
Analyzing the finite element dynamics of nonlinear in-plane rods by the method of proper orthogonal decomposition
I Georgiou, S Idelsohn, E Oate, E Dvorkin
Advanced processing of collocated acceleration signals in symmetric beam-like structures with applications to damage detection in a propeller
IT Georgiou
Journal of intelligent material systems and structures 22 (12), 1371-1394, 2011
Inariant manifolds and chaotic vibrations in singularly perturbed nonlinear oscillators
IT Georgiou, AK Bajaj, M Corless
International journal of engineering science 36 (4), 431-458, 1998
Instant chaos and hysteresis in coupled linear-nonlinear oscillators
IB Schwartz, IT Georgiou
Physics Letters A 242 (6), 307-312, 1998
An invariant manifold approach for studying waves in a one-dimensional array of non-linear oscillators
IT Georgiou, AF Vakakis
International journal of non-linear mechanics 31 (6), 871-886, 1996
Dynamics of nonlinear structures with multiple equilibria: A singular perturbation-invariant manifold approach
IT Georgiou, MJ Corless, AK Bajaj
Zeitschrift fr angewandte Mathematik und Physik ZAMP 50 (6), 892-924, 1999
Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum
IT Georgiou, IB Schwartz
Normal Modes and Localization in Nonlinear Systems, 3-31, 2001
Multi-physics dynamics of a mechanical oscillator coupled to an electro-magnetic circuit
IT Georgiou, F Romeo
International Journal of Non-Linear Mechanics 70, 153-164, 2015
Nonlinear dynamics and chaotic motions of a singularly perturbed nonlinear viscoelastic beam
IT Georgiou
Purdue University, 1993
Analysis of coupled electromechanical oscillators by a band-pass, reduced complexity, Volterra method
NI Xiros, IT Georgiou
ASME International Mechanical Engineering Congress and Exposition 42126, 215-224, 2005
A proper orthogonal decomposition approach to coupled mechanical systems
IT Georgiou, IB Schwartz
Nonlinear Dynamics and Controls, 7-12, 1996
Characterization of Nonlinear Coupled Dynamics in Sandwich Structures
IT Georgiou
ASME International Mechanical Engineering Congress and Exposition 48722, 707-717, 2008
The non-linear slow normal mode and stochasticity in the dynamics of a conservative flexible rod/pendulum configuration
IT Georgiou, IB Schwartz
Journal of sound and vibration 220 (3), 383-411, 1999
A single pair-of-sensors technique for geometry consistent sensing of acceleration vector fields in beam structures: damage detection and dissipation estimation by POD modes
IT Georgiou
Meccanica 50 (5), 1303-1330, 2015
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