| 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 | 113 | 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, 69-110, 2005 | 70 | 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 | 54 | 1999 |
| On the global geometric structure of the dynamics of the elastic pendulum IT Georgiou Nonlinear Dynamics 18, 51-68, 1999 | 44 | 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 | 34 | 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 | 30 | 1996 |
| Analyzing the finite element dynamics of nonlinear in-plane rods by the method of proper orthogonal decomposition IT Georgiou, J Sansour Computational Mechanics, New Trends and Applications 212, 1998 | 26 | 1998 |
| 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 | 22 | 2011 |
| 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 | 21 | 1996 |
| Instant chaos and hysteresis in coupled linear-nonlinear oscillators IB Schwartz, IT Georgiou Physics Letters A 242 (6), 307-312, 1998 | 20 | 1998 |
| Dynamics of nonlinear structures with multiple equilibria: A singular perturbation-invariant manifold approach IT Georgiou, MJ Corless, AK Bajaj Zeitschrift für angewandte Mathematik und Physik ZAMP 50, 892-924, 1999 | 19 | 1999 |
| 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 | 19 | 1998 |
| 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 | 17 | 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 | 16 | 2015 |
| Nonlinear dynamics and chaotic motions of a singularly perturbed nonlinear viscoelastic beam IT Georgiou Purdue University, 1993 | 16 | 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 | 14 | 2005 |
| A Proper Orthogonal Decomposition Approach to Coupled Structural-Mechanical Systems IT Georgiou, IB Schwartz ASME International Mechanical Engineering Congress and Exposition 15304, 7-12, 1996 | 13 | 1996 |
| 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 | 12 | 2015 |
| Characterization of Nonlinear Coupled Dynamics in Sandwich Structures IT Georgiou ASME International Mechanical Engineering Congress and Exposition 48722, 707-717, 2008 | 11 | 2008 |
| Developing pod over the complex plane to form a data processing tool for finite element simulations of steady state structural dynamics IT Georgiou, CI Papadopoulos ASME International Mechanical Engineering Congress and Exposition 47675, 789-798, 2006 | 9 | 2006 |
