David Chelidze, Ph.D.

  • Professor of Mechanical Engineering
  • Department of Mechanical, Industrial and Systems Engineering
  • Phone: +1.401.874.2356
  • Email: chelidze@uri.edu
  • Office Location: 219 Fascitelli Center
  • Website
  • Google Scholar
  • ResearchGate
  • Accepting Students: Ph.D., Master's

Biography

Digital Commons
ORCID iD icon ORCID iD
Google Scholar
Scopus

Dr. David Chelidze completed his Ph.D. in Engineering Science and Mechanics at Penn State University in 2000. His research interests include analytical and experimental nonlinear dynamics, as well as data-driven identification, modeling, and health monitoring of engineered and natural systems. His current projects, supported by NSF, NIH, the US Army, ONR, and AFRL, address nonlinear dynamics, structural vibrations, reduced-order modeling, structural damage identification and prediction, and fatigue damage modeling.
He is the recipient of the NSF CAREER Award and the Edmund and Dorothy Marshall Award for Faculty Excellence in Research.

Research

Analytical and experimental nonlinear vibrations and dynamics; vibration-based structural health monitoring; dynamical systems perspective on fatigue evolution; modal testing and analysis; dynamics, control and stability of engineered systems. The main research goal is to synthesize knowledge from fields such as dynamical and stochastic systems, linear and nonlinear time series analysis, multivariate analysis, and estimation and filtering theory to develop and implement innovative techniques for modeling, simulation, control, diagnosis, and prognosis of engineered and natural systems.

Education

  • Ph.D. – Engineering Science & Mechanics, Pennsylvania State University, University Park, Pennsylvania, 2000
  • M.S. – Mechanical Engineering, Southern Illinois University at Carbondale, Carbondale, Illinois, 1995
  • Diploma – Mechanical Engineering, Georgian Technical University, Tbilisi, Georgia, 1992

Selected Publications

  1. Ball tree structure-informed phase space warping: a robust algorithm for dynamic degradation tracking under variable speed conditions
    Rui Yuan, Hengyu Liu, Yong Lv, Yuejian Chen, Xingkai Yang, Hewenxuan Li, and David Chelidze
    Advanced Engineering Informatics 71 (2026), p. 104288, Elsevier
    DOI: https://doi.org/10.1016/j.aei.2025.104288
  2. Advances and prospects of phase space reconstruction-based high-dimensional signal processing for fault diagnosis: A systematic review
    Yong Lv, Hengyu Liu, Rui Yuan, Xun Dong, Yifei Wang, Hao Wu, and David Chelidze
    Mechanical Systems and Signal Processing 246 (2026), p. 113919, Academic Press
    DOI: https://doi.org/10.1016/j.ymssp.2026.113919
  3. Multifaceted Vibration Absorption of a Rotating Magnetic Nonlinear Energy Sink
    Collin Treacy, Dalton Stein, and David Chelidze
    Mechanical Systems and Signal Processing 224 (2025), p. 112122, Academic Press
    DOI: https://doi.org/10.1016/j.ymssp.2024.112122
  4. Characteristic value decomposition: A unifying paradigm for data-driven modal analysis
    He-Wen-Xuan Li, Dalton L. Stein, and David Chelidze
    Mechanical Systems and Signal Processing 222 (2025), p. 111769, Academic Press
    DOI: https://doi.org/10.1016/j.ymssp.2024.111769
  5. Continuation of Nonlinear Normal Modes using Physics-Informed Reduced-Order Models Based on Generalized Characteristic Value Decomposition
    D.L. Stein, D. Chelidze
    Nonlinear Dynamics (2024) 
    https://doi.org/10.1007/s11071-024-10239-0
  6. Characteristic Value Decomposition: A Unifying Paradigm for Data-Driven Modal Analysis
    Hewenxuan Li, Dalton Stein, David Chelidze
    Mechanical Systems and Signal Processing 222, (2024) 111769
    https://doi.org/10.1016/j.ymssp.2024.111769
  7. Irrational Nonlinearity Enhances the Targeted Energy Transfer in a Rotary Nonlinear Energy Sink
    C. Treacy, D.L. Stein, D. Chelidze
    Journal of Computational and Nonlinear Dynamics (2024)
    https://doi.org/10.1115/1.4065193
  8. Smooth mode decomposition: Theory and its applications in full-field output-only modal analysis
    He-Wen-Xuan Li, Piyush Wanchoo, Arun Shukla, David Chelidze
    Mechanical Systems and Signal Processing 200 (2023), p. 110541 https://doi.org/10.1016/j.ymssp.2023.110541
  9. Geometry-informed phase space warping for reliable fatigue damage monitoring
    He-Wen-Xuan Li, David Chelidze
    Structural Health Monitoring (2023), p. 14759217231174894
    https://doi.org/10.1177/14759217231174894
  10. Subband Decomposition Based Output-Only Modal Analysis
    D.L. Stein, H.-W.-X. Li, D. Chelidze
    Journal of Vibration and Acoustics, Transactions of the ASME 145.1 (Feb. 2023), 011005 (12 pages) DOI: https://doi.org/10.1115/1.4055135
  11. Experimental monitoring and modeling of fatigue damage for 3D-printed polymeric beams under irregular loading
    H.-W.-X. Li, G. Lyngdoh, S. Doner, R. Yuan, D. Chelidze
    International Journal of Mechanical Sciences 233 (Nov. 2022), p. 107626 DOI: https://doi.org/10.1016/j.ijmecsci.2022.107626
  12. Fatigue life estimation of structures under statistically and spectrally similar variable amplitude loading
    He-Wen-Xuan Li, David Chelidze
    Mechanical Systems and Signal Processing 161 (Dec. 2021), p. 107856 DOI: https://doi.org/10.1016/j.ymssp.2021.107856
  13. Towards a Unified Interpretation of the ‘Proper’/‘Smooth’ Orthogonal Decompositions and ‘State Variable’/‘Dynamic Mode’ Decompositions
    Arham Khan, Joseph Kuehl, David Chelidze
    AIP Advances 10 (Mar. 2020), p. 035225 DOI: https://doi.org/10.1063/1.5144429
  14. Empirical Mode Analysis Identifying Hysteresis in Vortex-Induced Vibrations of a Bending-Dominated Flexible Cylinder
    E. D. Gedikli, D. Chelidze, J. Dahl
    International Journal of Offshore and Polar Engineering 30.2 (June 2020), pp. 186–193 DOI: https://doi.org/10.17736/ijope.2020.mt27
  15. A novel method for bone fatigue monitoring and prediction
    Michelle L. Cler, Joseph J. Kuehl, Carolyn Skurla, David Chelidze
    Bone Reports 11 (Dec. 2019), p. 100221 DOI: https://doi.org/10.1016/j.bonr.2019.100221
  16. A new approach to model reduction of nonlinear control systems using smooth orthogonal decomposition
    Shahab Ilbeigi, David Chelidze
    International Journal of Robust and Nonlinear Control 28.15 (Oct. 2018), pp. 4367–4381 DOI: https://doi.org/10.1002/rnc.4238
  17. Observed mode shape effects on the vortex-induced vibration of bending dominated flexible cylinders simply supported at both ends
    Ersegun D. Gedikli, David Chelidze, Jason M. Dahl
    Journal of Fluids and Structures 81 (Aug. 2018), pp. 399–417 DOI: https://doi.org/10.1016/j.jfluidstructs.2018.05.010
  18. Persistent Model Order Reduction for Complex Dynamical Systems Using Smooth Orthogonal Decomposition
    Shahab Ilbeigi, David Chelidze
    Mechanical Systems and Signal Processing 96 (Nov. 2017), pp. 125–138 DOI: https://doi.org/10.1016/j.ymssp.2017.04.005
  19. Reliable Estimation of Minimum Embedding Dimension Through Statistical Analysis of Nearest Neighbors
    David Chelidze
    Journal of Computational and Nonlinear Dynamics 12.5 (July 2017), pp. 051024–12 DOI: https://doi.org/10.1115/1.4036814
  20. Multivariate Analysis Of Vortex-Induced Vibrations In a Tensioned Cylinder Reveal Nonlinear Modal Interactions
    Ersegun D. Gedikli, Jason M. Dahl, David Chelidze
    Procedia Engineering 199 (2017), pp. 546–551 DOI: https://doi.org/10.1016/j.proeng.2017.09.159
  21. Dynamic model for fatigue evolution in a cracked beam subjected to irregular loading
    Son Hai Nguyen, David Chelidze
    Journal of Vibration and Acoustics 139.1 (Nov. 2016), pp. 014502–6 DOI: https://doi.org/10.1115/1.4035112
  22. New invariant measures to track slow parameter drifts in fast dynamical systems
    Son Hai Nguyen, David Chelidze
    Nonlinear Dynamics 79.2 (Jan. 2015), pp. 1207–1216, Springer Netherlands DOI: https://doi.org/10.1007/s11071-014-1737-y
  23. Robust and Dynamically Consistent Model Order Reduction for Nonlinear Dynamic Systems
    David B. Segala, David Chelidze
    Journal of Dynamic Systems, Measurement, and Control 137.2 (Sept. 2014), pp. 021011–8 DOI: https://doi.org/10.1115/1.4028470
  24. Nonlinear System Identification and Modeling of a New Fatigue Testing Rig Based on Inertial Forces
    Michael Falco, Ming Liu, Son Hai Nguyen, David Chelidze
    Journal of Vibration and Acoustics 136.4 (Aug. 2014), pp. 041001–8 DOI: https://doi.org/10.1115/1.4027317
  25. Smooth local subspace projection for nonlinear noise reduction
    David Chelidze
    Chaos: An Interdisciplinary Journal of Nonlinear Science 24.1, 013121 (Feb. 2014), pp. 013121–10 DOI: https://doi.org/10.1063/1.4865754
  26. Different Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations
    Son Hai Nguyen, Mike Falco, Ming Liu, David Chelidze
    Journal of Applied Mechanics 81.4 (Sept. 2013), pp. 041004–8 DOI: https://doi.org/10.1115/1.4025138
  27. Nonlinear Smooth Orthogonal Decomposition of Kinematic Features of Sawing Reconstructs Muscle Fatigue Evolution as Indicated by Electromyography
    David B. Segala, Deanna H. Gates, Jonathan B. Dingwell, David Chelidze
    Journal of Biomechanical Engineering 133.3 (Feb. 2011), pp. 031009–8 DOI: https://doi.org/10.1115/1.4003320
  28. Identifying invariant manifold using phase space warping and stochastic interrogation
    Joe Kuehl, David Chelidze
    International Journal of Non-Linear Mechanics 45.1 (Jan. 2010), pp. 42–55, Elsevier DOI: https://doi.org/10.1016/j.ijnonlinmec.2009.09.001
  29. Nonlinear analysis of gait kinematics to track changes in oxygen consumption in prolonged load carriage walking: a pilot study
    Jeffrey M Schiffman, David Chelidze, Albert Adams, David B Segala, Leif Hasselquist
    Journal of Biomechanics 42.13 (Sept. 2009), pp. 2196–9, Elsevier DOI: https://doi.org/10.1016/j.jbiomech.2009.06.011
  30. Slow-Time Changes in Human EMG Muscle Fatigue States Are Fully Represented in Movement Kinematics
    Miao Song, David B Segala, Jonathan B Dingwell, David Chelidze
    Journal of Biomechanical Engineering 131.2 (Dec. 2008), pp. 021004–11 DOI: https://doi.org/10.1115/1.3005177
  31. A new type of atomic force microscope based on chaotic motions
    Ming Liu, David Chelidze
    International Journal of Non-Linear Mechanics 43.6 (July 2008), pp. 521–526, Elsevier DOI: https://doi.org/10.1016/j.ijnonlinmec.2008.03.001
  32. Reconstructing slow-time dynamics from fast-time measurements
    David Chelidze, Ming Liu
    Philosophical Transactions. Series A, Mathematical, Physical, & Engineering Sciences 366.1866 (Mar. 2008), pp. 729–45 DOI: https://doi.org/10.1098/rsta.2007.2124
  33. Generalized eigenvalue decomposition in time domain modal parameter identification
    Wenliang Zhou, David Chelidze
    Journal of Vibration and Acoustics 130.1 (Nov. 2007), pp. 011001–6 DOI: https://doi.org/10.1115/1.2775509
  34. Blind source separation based vibration mode identification
    Wenliang Zhou, David Chelidze
    Mechanical Systems and Signal Processing 21.8 (Nov. 2007), pp. 3072–3087, Elsevier DOI: https://doi.org/101016/jymssp200705007
  35. A nonlinear approach to tracking slow-time-scale changes in movement kinematics.
    Jonathan B Dingwell, Domenic F Napolitano, David Chelidze
    Journal of Biomechanics 40.7 (Jan. 2007), pp. 1629–1634 DOI: https://doi.org/10.1016/j.jbiomech.2006.06.019
  36. Identifying damage using local flow variation method
    Ming Liu, David Chelidze
    Smart Materials and Structures 15.6 (Nov. 2006), pp. 1830–1836 DOI: https://doi.org/10.1088/0964-1726/15/6/037
  37. Multidimensional Damage Identification Based on Phase Space Warping: An Experimental Study
    David Chelidze, Ming Liu
    Nonlinear Dynamics 46.1–2 (Oct. 2006), pp. 61–72 DOI: https://doi.org/10.1007/s11071-005-9007-7
  38. Phase space warping: nonlinear time-series analysis for slowly drifting systems
    David Chelidze, Joseph P. Cusumano
    Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 364.1846 (Sept. 2006), pp. 24952513 DOI: https://doi.org/10.1098/rsta.2006.1837
  39. Smooth orthogonal decomposition-based vibration mode identification
    David Chelidze, Wenliang Zhou
    Journal of Sound and Vibration 292.3–5 (May 2006), pp. 461–473 DOI: https://doi.org/10.1016/j.jsv.2005.08.006
  40. Dynamical systems approach to fatigue damage identification
    David Chelidze, Ming Liu
    Journal of Sound and Vibration 281.3–5 (Mar. 2005), pp. 887–904 DOI: https://doi.org/10.1016/j.jsv.2004.02.017
  41. Identifying Multidimensional Damage in a Hierarchical Dynamical System
    David Chelidze
    Nonlinear Dynamics 37.4 (Sept. 2004), pp. 307–322 DOI: https://doi.org/10.1023/B:NODY.0000045546.02766.ad
  42. A Dynamical Systems Approach to Failure Prognosis
    David Chelidze, Joseph P. Cusumano
    Journal of Vibration and Acoustics 126.1 (Feb. 2004), pp. 2–8 DOI: https://doi.org/10.1115/1.1640638
  43. A Dynamical Systems Approach to Damage Evolution Tracking, Part 2: Model-Based Validation and Physical Interpretation
    Joseph P. Cusumano, David Chelidze, Anindya Chatterjee
    Journal of Vibration and Acoustics 124.2 (Mar. 2002), pp. 258–264 DOI: https://doi.org/10.1115/1.1456907
  44. A Dynamical Systems Approach to Damage Evolution Tracking, Part 1: Description and Experimental Application
    David Chelidze, Joseph P. Cusumano, Anindya Chatterjee
    Journal of Vibration and Acoustics 124.2 (Mar. 2002), pp. 250–257 DOI: https://doi.org/10.1115/1.1456908
  45. Optimal Tracking of Parameter Drift in a Chaotic System: Experiment and Theory
    Anindya Chatterjee, Joseph P. Cusumano, David Chelidze
    Journal of Sound and Vibration 250.5 (Mar. 2002), pp. 877–901 DOI: https://doi.org/10.1006/jsvi.2001.3963

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.  

  1.