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David Chelidze
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Journal Articles

Irrational Nonlinearity Enhances the Targeted Energy Transfer in a Rotary Nonlinear Energy Sink

Collin Treacy, Dalton Stein, David Chelidze
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2024, 19(6): 061001.
Paper No: CND-23-1273
https://doi.org/10.1115/1.4065193
Published Online: April 17, 2024
View Article titled, Irrational Nonlinearity Enhances the Targeted Energy Transfer in a Rotary Nonlinear Energy Sink
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Topics: Excitation, Impulse (Physics), Resonance
Journal Articles

Subband Decomposition Based Output-Only Modal Analysis

Dalton L. Stein, He-Wen-Xuan Li, David Chelidze
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. February 2023, 145(1): 011005.
Paper No: VIB-22-1094
https://doi.org/10.1115/1.4055135
Published Online: August 24, 2022
View Article titled, Subband Decomposition Based Output-Only Modal Analysis
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Topics: Algorithms, Cantilever beams, Excitation, Filters, Impulse (Physics), Modal analysis, Resonance, Mode shapes, Finite element model, Errors
Proceedings Papers

Vibration Response and Parametric Instability in Beams With Combined Quadratic and Cubic Material Nonlinearities

David Chelidze, Kambiz Farhang, Tyler J. Selstad
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 31-42, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0244
https://doi.org/10.1115/DETC1995-0244
View Paper titled, Vibration Response and Parametric Instability in Beams With Combined Quadratic and Cubic Material Nonlinearities
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Topics: Accounting, Bifurcation, Boundary-value problems, Cantilever beams, Equations of motion, Excitation, Frequency response, Mode shapes, Nonlinear differential equations, Oscillations
Proceedings Papers

Vibration Control of a Beam Embedded With an Electrorheological Fluid

Tyler J. Selstad, Kambiz Farhang, David Chelidze
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 415-424, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0281
https://doi.org/10.1115/DETC1995-0281
View Paper titled, Vibration Control of a Beam Embedded With an Electrorheological Fluid
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Topics: Electrorheological fluids, Vibration control, Damping, Stability, Stiffness, Differential equations, Electric fields, Excitation, Fluids
Proceedings Papers

Hidden Variable Tracking: Formulation and Analysis of a Mathematical Model

David Chelidze, Joseph P. Cusumano, Anindya Chatterjee
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 2769-2779, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8358
https://doi.org/10.1115/DETC99/VIB-8358
View Paper titled, Hidden Variable Tracking: Formulation and Analysis of a Mathematical Model
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Topics: Hidden variables, Flow (Dynamics), Trajectories (Physics)
Proceedings Papers

Failure Prognosis Using Nonlinear Short-Time Prediction and Multi-Time Scale Recursive Estimation

David Chelidze, Joseph P. Cusumano, Anindya Chatterjee
Proc. ASME. IDETC-CIE2001, Volume 6A: 18th Biennial Conference on Mechanical Vibration and Noise, 901-910, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21407
https://doi.org/10.1115/DETC2001/VIB-21407
View Paper titled, Failure Prognosis Using Nonlinear Short-Time Prediction and Multi-Time Scale Recursive Estimation
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Topics: Failure, Damage, Fracture (Materials), Phase space, Service life (Equipment), Algorithms, Dynamic systems, Errors, Filtration, Kalman filters
Proceedings Papers

Identification of Variable Amplitude Fatigue Loading Based on Bivariate Probability Mass Functions

Hewenxuan Li, David Chelidze
Proc. ASME. IDETC-CIE2019, Volume 6: 15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V006T09A047, August 18–21, 2019
Publisher: American Society of Mechanical Engineers
Paper No: DETC2019-97488
https://doi.org/10.1115/DETC2019-97488
View Paper titled, Identification of Variable Amplitude Fatigue Loading Based on Bivariate Probability Mass Functions
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Topics: Fatigue, Probability, Stress, Fatigue life, Dynamics (Mechanics), Fatigue cracks, Fracture (Materials), Computer simulation, Failure, Statistics
Journal Articles

Reliable Estimation of Minimum Embedding Dimension Through Statistical Analysis of Nearest Neighbors

David Chelidze
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051024.
Paper No: CND-16-1488
https://doi.org/10.1115/1.4036814
Published Online: July 12, 2017
View Article titled, Reliable Estimation of Minimum Embedding Dimension Through Statistical Analysis of Nearest Neighbors
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Topics: Algorithms, Composite materials, Dimensions, Fuzzy neural nets, Noise (Sound), Time series, Delays
Journal Articles

Dynamic Model for Fatigue Evolution in a Cracked Beam Subjected to Irregular Loading

Son Hai Nguyen, David Chelidze
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. February 2017, 139(1): 014502.
Paper No: VIB-16-1115
https://doi.org/10.1115/1.4035112
Published Online: November 29, 2016
View Article titled, Dynamic Model for Fatigue Evolution in a Cracked Beam Subjected to Irregular Loading
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Topics: Damage, Dynamic models, Failure, Fatigue, Fatigue life, Fracture (Materials), Stress, Fatigue cracks, Vibration, Stiffness
Proceedings Papers

Statistical Characterization of Nearest Neighbors to Reliably Estimate Minimum Embedding Dimension

David Chelidze
Proc. ASME. IDETC-CIE2014, Volume 8: 26th Conference on Mechanical Vibration and Noise, V008T11A015, August 17–20, 2014
Publisher: American Society of Mechanical Engineers
Paper No: DETC2014-34746
https://doi.org/10.1115/DETC2014-34746
View Paper titled, Statistical Characterization of Nearest Neighbors to Reliably Estimate Minimum Embedding Dimension
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Topics: Dimensions, Time series, Fuzzy neural nets, Statistics, Delays, Noise (Sound), Stochastic processes
Journal Articles

Robust and Dynamically Consistent Model Order Reduction for Nonlinear Dynamic Systems

David B. Segala, David Chelidze
Journal: Journal of Dynamic Systems, Measurement, and Control
Publisher: ASME
Article Type: Research-Article
J. Dyn. Sys., Meas., Control. February 2015, 137(2): 021011.
Paper No: DS-14-1049
https://doi.org/10.1115/1.4028470
Published Online: September 24, 2014
View Article titled, Robust and Dynamically Consistent Model Order Reduction for Nonlinear Dynamic Systems
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Topics: Dimensions, Dynamics (Mechanics), Manifolds, Nonlinear dynamical systems, Robustness, Trajectories (Physics), Springs, Design
Journal Articles

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: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. August 2014, 136(4): 041001.
Paper No: VIB-13-1113
https://doi.org/10.1115/1.4027317
Published Online: April 18, 2014
View Article titled, Nonlinear System Identification and Modeling of a New Fatigue Testing Rig Based on Inertial Forces
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Topics: Fatigue testing, Nonlinear systems, Stress, Testing, Errors, Design, Instrumentation, Modeling, Pressure, Excitation
Proceedings Papers

Robust and Dynamically Consistent Reduced Order Models

David B. Segala, David Chelidze
Proc. ASME. IMECE2013, Volume 4B: Dynamics, Vibration and Control, V04BT04A010, November 15–21, 2013
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2013-62522
https://doi.org/10.1115/IMECE2013-62522
View Paper titled, Robust and Dynamically Consistent Reduced Order Models
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Topics: Degrees of freedom, Dimensions, Dynamic systems, Dynamics (Mechanics), Manifolds, Robustness, Springs
Proceedings Papers

Smooth Robust Subspace Based Model Reduction

David Chelidze
Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A044, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-13333
https://doi.org/10.1115/DETC2013-13333
View Paper titled, Smooth Robust Subspace Based Model Reduction
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Topics: Approximation, Complex systems, Computational fluid dynamics, Computer simulation, Dynamics (Mechanics), Finite element analysis, Model development, Molecular dynamics, Robustness
Proceedings Papers

Smooth Projective Nonlinear Noise Reduction

David Chelidze
Proc. ASME. IDETC-CIE2013, Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise, V008T13A034, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-13344
https://doi.org/10.1115/DETC2013-13344
View Paper titled, Smooth Projective Nonlinear Noise Reduction
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Topics: Noise control, Time series, Principal component analysis, Trajectories (Physics)
Proceedings Papers

Coupled Field Dynamic Model of Fatigue Evolution in Structures

Son Hai Nguyen, David Chelidze
Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A034, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-13365
https://doi.org/10.1115/DETC2013-13365
View Paper titled, Coupled Field Dynamic Model of Fatigue Evolution in Structures
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Topics: Dynamic models, Fatigue, Crack propagation, Dynamics (Mechanics), Fatigue cracks, Fatigue damage, Hamilton's principle, Oscillations
Journal Articles

Different Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations

Son Hai Nguyen, Mike Falco, Ming Liu, David Chelidze
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. April 2014, 81(4): 041004.
Paper No: JAM-13-1182
https://doi.org/10.1115/1.4025138
Published Online: September 23, 2013
View Article titled, Different Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations
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Topics: Damage, Dynamics (Mechanics), Excitation, Fatigue, Signals, Stress, Fatigue testing, Cycles, Fracture (Materials), Fatigue damage
Proceedings Papers

Characteristic Lengths and Distances: Fast and Robust Features for Nonlinear Time Series

Son Hai Nguyen, David Chelidze
Proc. ASME. IDETC-CIE2012, Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts A and B, 615-621, August 12–15, 2012
Publisher: American Society of Mechanical Engineers
Paper No: DETC2012-71281
https://doi.org/10.1115/DETC2012-71281
View Paper titled, Characteristic Lengths and Distances: Fast and Robust Features for Nonlinear Time Series
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Topics: Time series, Atomic force microscopy, Dimensions, Dynamic systems, Engineering simulation, Ergodic theory, Fractals, Phase space, Simulation, Structural health monitoring
Proceedings Papers

Characterization of Fatigue Dynamics Under Deterministic and Stochastic Excitation

Son Hai Nguyen, Mike Falco, Ming Liu, David Chelidze
Proc. ASME. IDETC-CIE2012, Volume 6: 1st Biennial International Conference on Dynamics for Design; 14th International Conference on Advanced Vehicle Technologies, 265-270, August 12–15, 2012
Publisher: American Society of Mechanical Engineers
Paper No: DETC2012-71228
https://doi.org/10.1115/DETC2012-71228
View Paper titled, Characterization of Fatigue Dynamics Under Deterministic and Stochastic Excitation
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Topics: Dynamics (Mechanics), Excitation, Fatigue, Fracture (Materials), Damage, Fatigue damage, Fatigue failure, Flow (Dynamics), Model development, System coupling
Proceedings Papers

A New Fatigue Testing Apparatus Model and Parameter Identification

Michael Falco, Ming Liu, David Chelidze
Proc. ASME. IDETC-CIE2010, Volume 5: 22nd International Conference on Design Theory and Methodology; Special Conference on Mechanical Vibration and Noise, 1007-1012, August 15–18, 2010
Publisher: American Society of Mechanical Engineers
Paper No: DETC2010-29107
https://doi.org/10.1115/DETC2010-29107
View Paper titled, A New Fatigue Testing Apparatus Model and Parameter Identification
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Topics: Fatigue testing, Dampers, Excitation, Fatigue cracks, Hardware, Modal analysis, Nonlinear systems, Signals, Springs, Structural dynamics