Nonlinear Dynamics Laboratory

R. Yuan, H. Liu, Y. Lv, Y. Chen, X. Yang, H. Li & D. Chelidze. Ball tree structure-informed phase space warping: a robust algorithm for dynamic degradation tracking under variable speed conditions. Advanced Engineering Informatics, 71, 104288. 10.1016/j.aei.2025.104288

Y. Lv, H. Liu, R. Yuan, X. Dong, Y. Wang, H. Wu & D. Chelidze. Advances and prospects of phase space reconstruction-based high-dimensional signal processing for fault diagnosis: A systematic review. Mechanical Systems and Signal Processing, 246, 113919. 10.1016/j.ymssp.2026.113919

C. Treacy, D. Stein & D. Chelidze. Multifaceted Vibration Absorption of a Rotating Magnetic Nonlinear Energy Sink. Mechanical Systems and Signal Processing, 224, 112122. 10.1016/j.ymssp.2024.112122

D. L. Stein & D. Chelidze. Continuation of Nonlinear Normal Modes Using Reduced-Order Models Based on Generalized Characteristic Value Decomposition. Nonlinear Dynamics, 113, 25–45. 10.1007/s11071-024-10239-0

H. Li, D. L. Stein & D. Chelidze. Characteristic value decomposition: A unifying paradigm for data-driven modal analysis. Mechanical Systems and Signal Processing, 222, 111769. 10.1016/j.ymssp.2024.111769

C. Treacy, D. Stein & D. Chelidze. Irrational Nonlinearity Enhances the Targeted Energy Transfer in a Rotary Nonlinear Energy Sink. Journal of Computational and Nonlinear Dynamics, 19(6), 061001. 10.1115/1.4065193

H. Li & D. Chelidze. Geometry-Informed Phase Space Warping for Reliable Fatigue Damage Monitoring. Structural Health Monitoring, 23(2), 1217–1244. 10.1177/14759217231174894

D. L. Stein, H. -. -. Li & D. Chelidze. Subband Decomposition Based Output-Only Modal Analysis. Journal of Vibration and Acoustics, 145(1), 011005 (12 pages). 10.1115/1.4055135

H. Li, P. Wanchoo, A. Shukla & D. Chelidze. Smooth mode decomposition: Theory and its applications in full-field output-only modal analysis. Mechanical Systems and Signal Processing, 200, 110541. 10.1016/j.ymssp.2023.110541

H. -. -. Li, G. Lyngdoh, S. Doner, R. Yuan & D. Chelidze. Experimental monitoring and modeling of fatigue damage for 3D-printed polymeric beams under irregular loading. International Journal of Mechanical Sciences, 233, 107626. 10.1016/j.ijmecsci.2022.107626

H. Li & D. Chelidze. Fatigue life estimation of structures under statistically and spectrally similar variable amplitude loading. Mechanical Systems and Signal Processing, 161, 107856. 10.1016/j.ymssp.2021.107856

E. D. Gedikli, D. Chelidze & J. Dahl. Empirical Mode Analysis Identifying Hysteresis in Vortex-Induced Vibrations of a Bending-Dominated Flexible Cylinder. International Journal of Offshore and Polar Engineering, 30(2), 186–193. 10.17736/ijope.2020.mt27

A. Khan, J. Kuehl & D. Chelidze. Towards a Unified Interpretation of the `Proper’/`Smooth’ Orthogonal Decompositions and `State Variable’/`Dynamic Mode’ Decompositions. AIP Advances, 10, 035225. 10.1063/1.5144429

M. L. Cler, J. J. Kuehl, C. Skurla & D. Chelidze. A novel method for bone fatigue monitoring and prediction. Bone Reports, 11, 100221. 10.1016/j.bonr.2019.100221

S. Ilbeigi & D. Chelidze. A new approach to model reduction of nonlinear control systems using smooth orthogonal decomposition. International Journal of Robust and Nonlinear Control, 28(15), 4367–4381. 10.1002/rnc.4238

E. D. Gedikli, D. Chelidze & J. M. Dahl. Observed mode shape effects on the vortex-induced vibration of bending dominated flexible cylinders simply supported at both ends. Journal of Fluids and Structures, 81, 399–417. 10.1016/j.jfluidstructs.2018.05.010

S. Ilbeigi & D. Chelidze. Persistent Model Order Reduction for Complex Dynamical Systems Using Smooth Orthogonal Decomposition. Mechanical Systems and Signal Processing, 96, 125–138. 10.1016/j.ymssp.2017.04.005

D. Chelidze. Reliable Estimation of Minimum Embedding Dimension Through Statistical Analysis of Nearest Neighbors. Journal of Computational and Nonlinear Dynamics, 12(5), 051024–12. 10.1115/1.4036814

E. D. Gedikli, J. M. Dahl & D. Chelidze. Multivariate Analysis Of Vortex-Induced Vibrations In a Tensioned Cylinder Reveal Nonlinear Modal Interactions. Procedia Engineering, 199, 546–551. 10.1016/j.proeng.2017.09.159

S. H. Nguyen & D. Chelidze. Dynamic model for fatigue evolution in a cracked beam subjected to irregular loading. Journal of Vibration and Acoustics, 139(1), 014502–6. 10.1115/1.4035112

S. H. Nguyen & D. Chelidze. New invariant measures to track slow parameter drifts in fast dynamical systems. Nonlinear Dynamics, 79(2), 1207–1216. 10.1007/s11071-014-1737-y

D. B. Segala & D. Chelidze. Robust and Dynamically Consistent Model Order Reduction for Nonlinear Dynamic Systems. Journal of Dynamic Systems, Measurement, and Control, 137(2), 021011–8. 10.1115/1.4028470

M. Falco, M. Liu, S. H. Nguyen & D. Chelidze. Nonlinear System Identification and Modeling of a New Fatigue Testing Rig Based on Inertial Forces. Journal of Vibration and Acoustics, 136(4), 041001–8. 10.1115/1.4027317

D. Chelidze. Smooth local subspace projection for nonlinear noise reduction. Chaos: An Interdisciplinary Journal of Nonlinear Science, 24(1), 013121–10. 10.1063/1.4865754

S. H. Nguyen, M. Falco, M. Liu & D. Chelidze. Different Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations. Journal of Applied Mechanics, 81(4), 041004–8. 10.1115/1.4025138

D. B. Segala, D. H. Gates, J. B. Dingwell & D. Chelidze. Nonlinear Smooth Orthogonal Decomposition of Kinematic Features of Sawing Reconstructs Muscle Fatigue Evolution as Indicated by Electromyography. Journal of Biomechanical Engineering, 133(3), 031009–8. 10.1115/1.4003320

J. Kuehl & D. Chelidze. Identifying invariant manifold using phase space warping and stochastic interrogation. International Journal of Non-Linear Mechanics, 45(1), 42–55. 10.1016/j.ijnonlinmec.2009.09.001

J. M. Schiffman, D. Chelidze, A. Adams, D. B. Segala & L. Hasselquist. Nonlinear analysis of gait kinematics to track changes in oxygen consumption in prolonged load carriage walking: a pilot study. Journal of Biomechanics, 42(13), 2196–9. 10.1016/j.jbiomech.2009.06.011

M. Song, D. B. Segala, J. B. Dingwell & D. Chelidze. Slow-Time Changes in Human EMG Muscle Fatigue States Are Fully Represented in Movement Kinematics. Journal of Biomechanical Engineering, 131(2), 021004–11. 10.1115/1.3005177

M. Liu & D. Chelidze. A new type of atomic force microscope based on chaotic motions. International Journal of Non-Linear Mechanics, 43(6), 521–526. 10.1016/j.ijnonlinmec.2008.03.001

D. Chelidze & M. Liu. Reconstructing slow-time dynamics from fast-time measurements. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366(1866), 729–45. 10.1098/rsta.2007.2124

W. Zhou & D. Chelidze. Generalized eigenvalue decomposition in time domain modal parameter identification. Journal of Vibration and Acoustics, 130(1), 011001–6. 10.1115/1.2775509

W. Zhou & D. Chelidze. Blind Source Separation Based Vibration Mode Identification. Mechanical Systems and Signal Processing, 21(8), 3072–3087. 10.1016/j.ymssp.2007.05.007

J. B. Dingwell, D. F. Napolitano & D. Chelidze. A nonlinear approach to tracking slow-time-scale changes in movement kinematics. Journal of Biomechanics, 40(7), 1629–1634. 10.1016/j.jbiomech.2006.06.019

M. Liu & D. Chelidze. Identifying damage using local flow variation method. Smart Materials and Structures, 15(6), 1830–1836. 10.1088/0964-1726/15/6/037

D. Chelidze & M. Liu. Multidimensional Damage Identification Based on Phase Space Warping: An Experimental Study. Nonlinear Dynamics, 46(1–2), 61–72. 10.1007/s11071-005-9007-7

D. Chelidze & J. P. Cusumano. Phase space warping: nonlinear time-series analysis for slowly drifting systems. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 364(1846), 2495–2513. 10.1098/rsta.2006.1837

D. Chelidze & W. Zhou. Smooth orthogonal decomposition-based vibration mode identification. Journal of Sound and Vibration, 292(3–5), 461–473. 10.1016/j.jsv.2005.08.006

D. Chelidze & M. Liu. Dynamical systems approach to fatigue damage identification. Journal of Sound and Vibration, 281(3–5), 887–904. 10.1016/j.jsv.2004.02.017

D. Chelidze. Identifying Multidimensional Damage in a Hierarchical Dynamical System. Nonlinear Dynamics, 37(4), 307–322. 10.1023/B:NODY.0000045546.02766.ad

D. Chelidze & J. P. Cusumano. A Dynamical Systems Approach to Failure Prognosis. Journal of Vibration and Acoustics, 126(1), 2–8. 10.1115/1.1640638

A. Chatterjee, J. P. Cusumano & D. Chelidze. Optimal Tracking of Parameter Drift in a Chaotic System: Experiment and Theory. Journal of Sound and Vibration, 250(5), 877–901. 10.1006/jsvi.2001.3963

D. Chelidze, J. P. Cusumano & A. Chatterjee. A Dynamical Systems Approach to Damage Evolution Tracking, Part 1: Description and Experimental Application. Journal of Vibration and Acoustics, 124(2), 250–257. 10.1115/1.1456908

J. P. Cusumano, D. Chelidze & A. Chatterjee. A Dynamical Systems Approach to Damage Evolution Tracking, Part 2: Model-Based Validation and Physical Interpretation. Journal of Vibration and Acoustics, 124(2), 258–264. 10.1115/1.1456907

D. Stein & D. Chelidze. Simultaneous Estimation of Multiple Backbone Curves using Smooth Coordinate Tracking. Proceedings of the Third International Nonlinear Dynamics Conference.

H. Li & D. Chelidze. Identification of Variable Amplitude Fatigue Loading Based on Bivariate Probability Mass Functions. Proceedings of the ASME 2019 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Anaheim, California, V006T09A047 (10 pages).

E. D. Gedikli, D. Chelidze & J. M. Dahl. Bending Dominated Flexible Cylinder Experiments Reveal Insights Into Modal Interactions for Flexible Body Vortex-Induced Vibrations. The 28th International Ocean and Polar Engineering Conference, 8.

S. Ilbeigi & D. Chelidze. Reduced Order Models for Systems with Disparate Spatial and Temporal Scales. Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, Volume 8: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016, Orlando, FL, USA, January 25–28, 2016, 8, 447–455.

S. Ilbeigi & D. Chelidze. Model Order Reduction of Nonlinear Euler-Bernoulli Beam. Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, Orlando, FL, USA, February 2–5, 2016, 377–385.

D. Chelidze. Identifying Robust Subspaces for Dynamically Consistent Reduced-Order Models. Nonlinear Dynamics, Volume 2: Proceedings of the 32nd IMAC , A Conference and Exposition, Orlando, FL, USA, February 3–6, 2014, 123–130.

D. Chelidze. Statistical Characterization of Nearest Neighbors to Reliably Estimate Minimum Embedding Dimension. Proceedings of the ASME 2014 IDECT: 26th Conference on Mechanical Vibration and Noise, Buffalo, NY, USA, August 17–20, 2014, 8, V008T11A015–10.

D. B. Segala & D. Chelidze. Robust and Dynamically Consistent Reduced Order Models. Proceedings of the ASME IMECE: Dynamics, Vibration and Control, San Diego, CA, USA, November 15–21, 2013, 4B, V04BT04A010–8.

S. H. Nguyen & D. Chelidze. Coupled Field Dynamic Model of Fatigue Evolution in Structures. Proceedings of the ASME IDECT: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Portland, OR, USA, August 4–7, 2013, 7B, V07BT10A034–7.

S. H. Nguyen, M. Falco, M. Liu & D. Chelidze. Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations. Topics in Nonlinear Dynamics, Volume 1: Conference Proceedings of the 31st Society for Experimental Mechanics, Garden Grove, CA, USA, February 11–14, 2013, 125–133.

D. Chelidze. Smooth Projective Noise Reduction for Nonlinear Time Series. Topics in Nonlinear Dynamics, Volume 1: Conference Proceedings of the 31st Society for Experimental Mechanics, Garden Grove, CA, USA, February 11–14, 2013, 77–83.

D. Chelidze. Smooth projective nonlinear noise reduction. Proceedings of the ASME IDECT: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise, Portland, OR, USA, August 4–7, 2013, 8, V008T12A001–5.

D. Chelidze. Smooth Robust Subspace Based Model Reduction. Proceedings of the ASME IDECT: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Portland, OR, USA, August 4–7, 2013, 7B, V07BT10A044–13.

S. H. Nguyen & D. Chelidze. Characteristic Lengths and Distances: Fast and Robust Features for Nonlinear Time Series. Proceedings of the ASME 2012 IDECT: 24th Conference on Mechanical Vibration and Noise, Chicago, IL, USA, August 12–15, 2012, 1 Parts A and B, 615–621.

S. H. Nguyen, M. Falco, M. Liu & D. Chelidze. Characterization of fatigue dynamics under deterministic and stochastic excitation. Proceedings of the ASME IDETC: 1st Biennial International Conference on Dynamics for Design; 14th International Conference on Advanced Vehicle Technologies, Chicago, IL, USA, August 12–15, 2012, 6, 265–270.

M. Falco, M. Liu & D. Chelidze. A New Fatigue Testing Apparatus Model and Parameter Identification. Proceedings of the ASME IDETC: 22nd International Conference on Design Theory and Methodology; Special Conference on Mechanical Vibration and Noise, Montreal, Quebec, Canada, August 15–18, 2010, 5, 1007–1012.

D. B. Segala, D. Chelidze, D. Gates & J. Dingwell. Linear and Nonlinear Smooth Orthogonal Decomposition to Reconstruct Local Fatigue Dynamics: A Comparison. Proceedings of the ASME IDETC: 22nd International Conference on Design Theory and Methodology; Special Conference on Mechanical Vibration and Noise, Montreal, Quebec, Canada, August 15–18, 2010, 5, 763–770.

D. B. Segala, D. Chelidze, D. Gates & J. Dingwell. Dynamical Analysis of Sawing Motion Tracks Muscle Fatigue Evolution. Proceedings of the ASME 2009 IDETC: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, San Diego, CA, USA, August 30–September 2, 2009, 4 C, 1593–1599.

D. B. Segala, D. Chelidze, J. M. Schiffman, D. Gates & J. Dingwell. Tracking Muscle Fatigue Markers Through Nonlinear and Multivariate Analysis of Motion Kinematics. Proceeding of the ASME 2009 IMECE: Mechanical Systems and Control, Lake Buena Vista, FL, USA, November 13–19, 2009, 10 A, 409–410.

D. B. Segala, D. Chelidze, A. Adams, J. M. Schiffman & L. Hasselquist. Tracking Physiological Fatigue in Prolonged Load Carriage Walking Using Phase Space Warping and Smooth Orthogonal Decomposition. ASME 2008 IMECE: Biomedical and Biotechnology Engineering, Boston, MA, USA, October 31–November 6, 2008, 2, 323–331.

J. Kuehl & D. Chelidze. Invariant Manifold Detection From Phase Space Trajectories. Proceedings of the ASME 2008 IMECE: Mechanical Systems and Control, Boston, MA, USA, October 31–November 6, 2008, 11, 699–705.

M. Song, D. B. Segala, J. B. Dingwell & D. Chelidze. Slow-Time Changes in Human Muscle Fatigue Are Fully Represented in Movement Kinematics. Proceedings of the ASME 2007 IDETC: 21st Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, USA, September 4–7, 2008, 1 A, 679–688.

W. Zhou & D. Chelidze. Blind source separation based vibration mode identification. Proceedings of the SEM: 25th Conference and Exposition on Structural Dynamics, IMAC-XXV, Orlando, FL, USA, February 19–22, 2007, 996–1008.

D. Chelidze & G. Chelidze. Nonlinear model reduction based on smooth orthogonal decomposition. Proceedings of the 9th IASTED International Conference on Control and Applications, Montreal, QC, Canada, May 30 – June 1, 2007, 325–330.

D. Chelidze & M. Lugmair. Damage tracking in variable environmental conditions. 13th International Congress on Sound and Vibration, ICSV 2006, Vienna, Austria, July 2–6, 2006, 1, 546–553.

W. Zhou & D. Chelidze. Generalized eigenvalue decomposition in time domain modal parameter identification. Proceedings of the ASME 2006 IDETCE: Design Engineering and Computers and Information in Engineering, Parts A and B, Chicago, IL, USA, November 5–10, 2006, Parts A and B, 761–769.

J. P. Cusumano & D. Chelidze. Phase space warping: a dynamical systems approach to diagnostics and prognostics. Proceedings of the IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics: Solid Mechanics and its Applications, Rome, Italy, June 8–13, 2003, 122, 183–192.

D. Chelidze & W. Zhou. A new method for vibration mode analysis. Proceedings of the ASME IDETC2005: 20th Biennial Conference on Mechanical Vibration and Noise, Long Beach, CA, USA, September 24–28, 2005, 1 C, 1899–1905.

M. Liu & D. Chelidze. Flow variance method for damage identification. Proceedings of SPIE: Smart Structures and Materials 2005: Smart Structures and Integrated Systems, San Diego, CA, USA, March 7–10, 2005, 5764, 553–558.

M. Liu & D. Chelidze. Local flow variation method for damage identification. Proceedings of the ASME IDETC2005: 20th Biennial Conference on Mechanical Vibration and Noise, Long Beach, CA, USA, September 24–28, 2005, 1 B, 1663–1668.

D. Chelidze & W. Zhou. Smooth orthogonal decomposition based vibration mode analysis. Proceedings of the SEM: 23rd Conference and Exposition on Structural Dynamics 2005, IMAC-XXIII, Orlando, FL, USA, January 31 – February 3, 2005.

D. Chelidze. Dynamical systems approach to material damage diagnosis. Proceedings of the 2003 ASME IDETC: 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, USA, September 2–6, 2003, 5 B, 1263–1270.

D. Chelidze. Multidimensional Hidden Slow Variable Tracking in a Hierarchical Dynamical System. Proceedings of the ASME 2003 IMECE: Dynamic Systems and Control, Washington, DC, USA, November 15–21, 2003, 1–2, 1079–1086.

D. Chelidze. Multimode damage tracking and failure prognosis in electromechanical system. Proceedings of SPIE: Component and Systems Diagnostics, Prognostics, and Health Management II, Orlando, FL, USA, April 3–4, 2002, 4733, 1–12.

D. Chelidze, J. P. Cusumano & A. Chatterjee. Failure prognosis using nonlinear short-time prediction and multi-time scale recursive estimation. Proceedings of the 2001 ASME IDETC: 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, USA, September 9–12, 2001, 6 A, 901–910.

D. Chelidze, J. P. Cusumano & A. Chatterjee. Procedure for tracking damage evolution and predicting remaining useful life with application to an electromechanical experimental system. Proceedings of SPIE: Component and Systems Diagnostics, Prognosis, and Health Management, Orlando, FL, USA, April 16–20, 2001, 4389, 12–22.

J. P. Cusumano, D. Chelidze & A. Chatterjee. A nonlinear observer for damage evolution tracking. Integrating Dynamics, Condition Monitoring and Control for the 21st Century: DYMAC 99 – Proceedings of the first international conference, Manchester, UK, September 1–3, 1999, 61–68.

D. Chelidze, J. P. Cusumano & A. Chatterjee. Hidden variable tracking: formulation and analysis of a mathematical model. Proceedings of the 1999 ASME IDETC: 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, Nevada, September 12–16, 1999, 7 B(DETC99/VIB-8358), 2769–2779.

J. P. Cusumano, D. Chelidze & N. K. Hecht. Using Phase Space Reconstruction to Track Parameter Drift in a Nonlinear System. Proceedings of the 1997 ASME DETC: 16th Biennial Conference on Mechanical Vibrations and Noise, Sacramento, CA, USA, September 14–17, 1997, 7 pp..

J. P. Cusumano, D. Chelidze & A. Chatterjee. Experimental application of a method for hidden parameter tracking in a slowly changing, chaotic system. Proceedings of the 1997 ASME IMECE: Emerging Technologies for Machinery Health Monitoring and Prognosis, Dallas, TX, USA, November 16–21, 1997, TRIB-7, 45–54.

T. J. Selstad, K. Farhang & D. Chelidze. Vibration control of a beam embedded with an electrorheological fluid. Proceedings of the 1995 ASME Design Engineering Technical Conference, Boston, MA, USA, September 17–20, 1995, 3A, 415–424.

D. Chelidze, K. Farhang & T. J. Selstad. Vibration response and parametric instability in beams with combined quadratic and cubic material nonlinearities. Proceedings of the 1995 ASME Design Engineering Technical Conference, Boston, MA, USA, September 17–20, 1995, 3, 31–42.

D. Stein & D. Chelidze. Physics-Informed Model Order Reduction via Generalized Characteristic Value Decomposition. Proceedings of Society for Experimental Mechanics, International Modal Analysis Conference (SEM-IMAC 2024).

D. Stein, H. Li & D. Chelidze. Sub-Band Decomposition Based-Linear Normal Mode Identification. Conference Proceedings of the Society for Experimental Mechanics Series, 141–144.

H. Li & D. Chelidze. Reliable Damage Tracking in Nonlinear Systems via Phase Space Warping: A Case Study. Conference Proceedings of the Society for Experimental Mechanics Series, 241–244.

D. Stein & D. Chelidze. Identification of Slowly Decaying Smooth Subspaces and Applications. Proceedings of International Design, Engineering, and Technology Conference (IDETC-CIE 2022).

D. Chelidze. Higher-Order Decompositions for Modal Identification and Model Order Reduction. Nonlinear Structures & Systems, Volume 1, Conference Proceedings of the Society for Experimental Mechanics Series, 271–278.

H. Li & D. Chelidze. Identification and Modeling of a Variable Amplitude Fatigue Experiment Apparatus with Damaged Beam Specimen. Nonlinear Structures & Systems, Volume 1, Conference Proceedings of the Society for Experimental Mechanics Series, 265–269.

H. Li & D. Chelidze. Fatigue Damage of a Single-Edge Notched Beam Specimen Under Variable Amplitude Loading with Similar Probabilistic and Cycle Counting Statistics. Nonlinear Structures & Systems, Volume 1, Conference Proceedings of the Society for Experimental Mechanics Series, 301–305.

D. Chelidze. Higher-Order Decompositions for Modal Identification and Model Order Reduction. Conference Proceedings of the Society for Experimental Mechanics Series IMAC XXXVIII.

H. Li & D. Chelidze. Identification and Modeling of a Variable Amplitude Fatigue Experiment Apparatus with Damaged Beam Specimen. Conference Proceedings of the Society for Experimental Mechanics Series IMAC XXXVIII.

H. Li & D. Chelidze. Variable Amplitude Fatigue Testing Apparatus and its Dynamical Characterization. Structural Health Monitoring, Photogrammetry & DIC, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series, 137–140.

E. D. Gedikli, D. Chelidze & J. M. Dahl. Disrupting spanwise mode shape in vortex-induced vibrations using in-line piezoelectric actuators. Poster presentation at BBVIV-7 – 7th Conference on Bluff Body Wakes and Vortex-Induced Vibrations, Carry-le-Rouet (Marseille), France, July 3–6, 2018.

E. D. Gedikli, J. M. Dahl & D. Chelidze. A novel method to suppress flexible cylinder vortex-induced vibrations. INT-NAM 2018: 3rd International Symposium on Naval Architecture and Maritime , Istanbul, Turkey, April 23–25, 2018.

H. Li & D. Chelidze. Variable amplitude fatigue testing apparatus and its dynamical characterization. IMAC-36, Orlando, FL, USA, February 12–4.

E. D. Gedikli, D. Chelidze & J. M. Dahl. Active control of flexible cylinders undergoing vortex-induced vibrations using piezo stripe actuators. Structural Health Monitoring, Photogrammetry & DIC, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series, 63–65.

S. Ilbeigi & D. Chelidze. Persistent models for complex control systems. Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, 167–175.

D. Chelidze. Generalized Smooth Decomposition for Vibration Mode Identification. paper (IDETC2016-59943) presented at ASME 2016 IDETC: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Charlotte, NC, USA, Aug 21–24, 2016.

S. Ilbeigi & D. Chelidze. Model Order Reduction of Nonlinear Euler-Bernoulli Beam. Nonlinear Dynamics, Volume 1: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, Orlando, FL, USA, February 2–5, 2016, 377–385.

S. Ilbeigi & D. Chelidze. Proper and Smooth Orthogonal Decomposition-Based, Model-Order Reduction for Complex Systems. paper presented at 13th US National Congress on Computational Mechanics: Minisymposium on Model and Solution Reduction Methods for Direct and Inverse Problems in Computational Mechanics, San Diego, CA, USA, July 26–30.

D. Chelidze. Statistical Analysis of Nearest Neighbors Leads to Robust and Reliable Estimates for Minimum Embedding Dimension. paper presented at 8th Chaotic Modeling and Simulation International Conference, CHAOS 2015, Henri Poincare Institute, Paris, France, 26–29 May.

D. Chelidze, S. H. Nguyen, M. Falco & M. Liu. Fatigue accumulation under chaotic loading is slower than under statistically and spectrally similar stochastic excitation,. paper presented at the SIAM Conference on Applications of Dynamical Systems, MS63, Snowbird, UT, USA, May 9–10, 175.

D. Chelidze. Dynamical systems approach to motion analysis and to tracking the associated physiologic processes,. paper presented at the 33rd Annual Meeting and Scientific Sessions of the Society of Behavioral Medicine: Device-enabled measurement of health behaviors in real-time, New Orleans, Louisiana, USA, April 11-14.

D. Chelidze, M. Liu & M. Falco. Rational models and dynamical characterization of fatigue using phase space warping and smooth orthogonal decomposition. poster presented at the NSF CMMI Engineering Research and Innovation Conference 2011, Atlanta, Georgia, USA, January 4–7.

M. Liu & D. Chelidze. A multi-parameter chaotic sensor based on magnetoelastic resonance. paper presented at the 16th US National Congress of Theoretical and Applied Mechanics, State College, PA, USA, June 27–July 2.

D. B. Segala, D. Chelidze, D. Gates & J. B. Dingwell. Nonlinear smooth orthogonal decomposition of sawing motion kinematics features identifies local muscle fatigue dynamics. paper presented at the 16th US National Congress of Theoretical and Applied Mechanics, State College, PA, USA, June 27–July 2.

D. B. Segala, D. Gates, J. B. Dingwell & D. Chelidze. Nonlinear smooth orthogonal decomposition identifies local muscle fatigue dynamics in sawing motion. poster presented at the 34th Annual Meeting of the American Society of Biomechanics, Providence, Rhode Island, August 18 –21.

D. Chelidze. Rational Models and Dynamical Characterization of Fatigue using Phase Space Warping and Smooth Orthogonal Decomposition. poster presented at NSF CMMI Engineering Research and Innovation Conference 2009, Honolulu, Hawaii, June 22–25.

A. Adams, J. M. Schiffman, D. B. Segala, D. Chelidze & L. Hasselquist. Nonlinear Analysis Of Gait Kinematics To Track Changes In Oxygen Consumption In Prolonged Load Carriage. paper presented at the American College of Sports Medicine 56th Annual Meeting, Seattle, WA, USA, May 27–30.

D. Chelidze. Nonlinear normal mode embedding for model reduction. Nonlinear Normal Modes, Dim ension Reduction and Localization in Vibrating Systems, Booklet of Abstracts, Euromech Colloquium 503, Frascati, Italy, September 27–October 2, G. Rega and A.F. Vakakis, 60–62.

D. Chelidze. Phase space warping and smooth orthogonal decomposition based diagnosis and prognosis of machines and humans. poster presented at the NSF CMMI Engineering Research and Innovation Conference, Knoxville, TN, USA, January 7–10.

J. Kuehl & D. Chelidze. Invariant manifold identification from phase space trajectories. paper presented at the 12th conference on nonlinear vibrations, stability, and dynamics of structures, Blacksburg, VA, USA, June 1–4.

J. Kuehl & D. Chelidze. Invariant manifold identification from phase space trajectories. paper presented at the IACM/ECCOMAS Congress 2008, Venice, Italy, June 29–July 4.

J. B. Dingwell, M. Song, D. B. Segala & D. Chelidze. Predicting slow changes in muscle fatigue from kinematics. paper presented at Annual Meeting of the American Society of Biomechanics, Stanford, CA, USA, August 22–25.

J. B. Dingwell, M. Song, D. B. Segala & D. Chelidze. Tracking slow-time-scale changes in human muscle fatigue from movement kinematics. paper presented at the Symposium on Musculoskeletal Biomechanics: 44th Annual Technical Meeting Society of Engineering Science, October 21-24.

M. Liu & D. Chelidze. Chaotic Atomic-Force Microscope. Proceedings of the 21st Canadian Congress of Applied Mechanics, Toronto, Ontario, Canada, June 3–7, 2007, 203–204.

M. Liu & D. Chelidze. A new type atomic force microscope based on chaotic motions. paper presented at the 11th Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, Blacksburg, VA, August 13–16.

L. Dobrot & D. Chelidze. Damage identification based on transitional probabilities. paper presented at the 11th Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, Blacksburg, VA, August 13–16.

J. B. Dingwell, D. F. Napolitano & D. Chelidze. Tracking slow-time-scale changes in human locomotion. Proceedings of the 5th World Congress of Biomechanics, Munich, Germany, July 29–August 4, 39(S1), S116.

W. Zhou & D. Chelidze. A new method for vibration modal analysis. Proceedings of the SEM: Annual Conference and Exposition on Experimental and Applied Mechanics 2006, Saint Louis, MO, USA, June 4–7, 2006, 4, 2278–2279.

M. Liu & D. Chelidze. A new type atomic force microscope based on chaotic motions. Proceedings of the SEM: Annual Conference and Exposition on Experimental and Applied Mechanics 2006, Saint Louis, MO, USA, June 4–7, 2006, 1, 331–338.

M. Liu & D. Chelidze. Identifying fatigue damage under varying environmental conditions. Proceedings of the SEM: Annual Conference and Exposition on Experimental and Applied Mechanics 2006, Saint Louis, MO, USA, June 4–7, 2006, 2, 620–626.

W. Zhou & D. Chelidze. SOD based modal parameters extraction for distributed-parameter vibration systems. Proceedings of the SEM: Annual Conference and Exposition on Experimental and Applied Mechanics 2006, Saint Louis, MO, USA, June 4–7, 2006, 2, 794–803.

D. Chelidze, M. Liu, D. F. Napolitano & J. B. Dingwell. Smooth orthogonal decomposition based reconstruction of a slow-time phase space trajectory. paper presented at the Time Series and Reconstruction, ENOC-2005, fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, August 7–12.

D. Chelidze. Smooth orthogonal decomposition based model reduction. paper presented at the Reduced-order modeling, ENOC-2005, fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, August 7–12.

D. Chelidze & M. Liu. A slow-time phase space reconstruction based on a smooth orthogonal decomposition. paper presented at the Symposium on Dynamics: Recent Advances in Nonlinear Mechanics, The Institute of Mathematics and its Applications, Aberdeen, Great Britain, August 31–September 1.

J. B. Dingwell, D. F. Napolitano & D. Chelidze. Tracking slow-time-scale changes in movement coordination. Proceedings of the XXth Congress of the International Society of Biomechanics, Cleveland, OH, August 1–5, 2005, 410.

W. Zhou & D. Chelidze. A new method for vibration modal analysis. Proceedings of the 2005 SEM Annual Conference and Exposition on Experimental and Applied Mechanics, Portland, OR, USA, June 7–9, 103–104.

M. Liu & D. Chelidze. Flow variance method for damage identification. Proceedings of the SEM: 23rd Conference and Exposition on Structural Dynamics 2005, IMAC-XXIII, Orlando, FL, USA, January 31–February 3, 10p.

K. Hartt & D. Chelidze. A study of measurement noise in chaotic signals. paper presented at the Extracting Salient Features of Embedded Time Series with Applications to Health Monitoring, 2003 SIAM Conference on Applications of Dynamical Systems, May 27.

J. P. Cusumano & D. Chelidze. Phase space warping: a dynamical systems approach to diagnostics and prognostics. Booklet of Abstracts, IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics, Rome, Italy, June 8–13, 37–38.

D. G. Taggart, D. Chelidze, W. J. Palm & T. J. Kim. Application of abrasive waterjet machining in undergraduate engineering courses. Proceeding of 2003 WJTA American Waterjet Conference, Houston, Texas, August 17–19.

K. Hartt & D. Chelidze. Detecting measurement noise in chaotic signals. \em Dynamical Systems Methods for Advanced Diagnostics and Prognostics, the Proceedings of the 39th Annual Technical Meeting of SES, State College, PA, USA, October 13–16, 6-2.

D. Chelidze & J. P. Cusumano. Phase space warping: a general approach to machinery diagnosis and prognosis. Dynamical Systems Methods for Advanced Diagnostics and Prognostics, the Proceedings of the 39th Annual Technical Meeting of SES, State College, PA, USA, October 13–16, 2002, 6-4.

D. G. Taggart, B. E. Stucker, T. Kegler, D. Chelidze & W. J. Palm. Integration of mechanical design and prototyping activities. Proceedings of the 2002 ASEE Annual Conference and Exposition: Vive L’ingenieur, Montreal, Que., Canada, June 16–19, 2002, 11961–11971.

J. P. Cusumano, J. Sikora, D. Chelidze & A. Chatterjee. Spectral properties of signals from a gear-pair transmission with evolving damage. Proceedings of the 54th Meeting of the Society for Machinery Failure, Prevention Technology: Improving Productivity Through Applications of Condition Monitoring, Virginia Beach, VA, May 1–4, 2000, 121–133.

J. P. Cusumano, A. Chatterjee & D. Chelidze. Some fundamental issues in damage tracking, with application to a low-dimensional model of a gear-pair transmission. Proceedings of the 54th Meeting of the Society for Machinery Failure, Prevention Technology: Improving Productivity Through Applications of Condition Monitoring, Virginia Beach, VA, USA, May 1–4, 2000, pp.~, 507–517.

D. Chelidze, J. P. Cusumano & A. Chatterjee. A nonlinear state space approach to tracking damage evolution: experimental application to a gearbox. Proceedings of the 54th Meeting of the Society for Machinery Failure, Prevention Technology: Improving Productivity Through Applications of Condition Monitoring, Virginia Beach, VA, USA, May 1–4, 2000, 63–72.

A. Chatterjee, J. P. Cusumano & D. Chelidze. Tracking parameter drift in a vibro-impact system. Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, Ottawa, Canada, June 27–30, 1998, 159–162.

A. Chatterjee, J. P. Cusumano & D. Chelidze. Study of a chaotic map with application to parameter tracking in a vibro-impact system. paper presented at the Euromech Colloquium 397 on Impact in mechanical systems, Grenoble, France, June 30–July 2.

J. P. Cusumano, D. Chelidze & A. Chatterjee. Tracking damage evolution via delay coordinate embedding. Proceedings of the Society for Machinery Failure Prevention Technology Conference: Prognosis of Residual Life of Machinery and Structures, Virginia Beach, VA, March 30–April 2, 1998, 229–238.

J. P. Cusumano, D. Chelidze & N. K. Hecht. Using Phase Space Reconstruction to Track Parameter Drift in a Nonlinear System. Journal of the Acoustical Society of America, 133rd Meeting Abstracts, 101(5), 3086.

J. P. Cusumano, D. Chelidze & N. K. Hecht. Model based tracking of hidden parameter drift in dynamical systems. Proceedings of Joint Conference of the Society for Machinery Failure Prevention Technology and the ASME Committee on Reliability, Stress Analysis and Failure Prevention. A Critical Link: Diagnosis to Prognosis, Virginia Beach, VA, April 14–18, 1997, 309–318.

D. Chelidze, J. P. Cusumano & N. K. Hecht. Hidden parameter tracking using delay coordinate embedding. Proceedings of NOISE-CON97 The 1997 National Conference on Noise Control Engineering, Joint 133rd Meeting of the ASA and Institute of Noise Control Engineering, State College, PA, June 15–17, 1997, Book 1, 525–530.