Publications

Manuscripts

David Chelidze and Joseph P. Cusumano, “Experimental Nonlinear Dynamics Lecture Notes,” working draft copy, 2018-21.

Archival Journal Publications

  1. 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) Under revision
  2. Computationally efficient continuation and bifurcation analysis of periodic orbits using linear-projection-based reduced-order models
    D.L. Stein, D. Chelidze
    Journal of Computational and Nonlinear Dynamics (2024) Under review
  3. Characteristic Value Decomposition: A Unifying Paradigm for Data-Driven Modal Analysis
    Hewenxuan Li, Dalton Stein, David Chelidze
    Mechanical Systems and Signal Processing (2024) Under review
    https://doi.org/10.2139/ssrn.4761612
  4. 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
  5. 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 DOI: https://doi.org/10.1016/j.ymssp.2023.110541
  6. Geometry-informed phase space warping for reliable fatigue damage monitoring
    He-Wen-Xuan Li, David Chelidze
    Structural Health Monitoring (2023), p. 14759217231174894 DOI: https://doi.org/10.1177/14759217231174894
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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