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

    Source: Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005:;page 51024
    Author(s): Chelidze, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: False nearest neighbors (FNN) is one of the essential methods used in estimating the minimally sufficient embedding dimension in delay-coordinate embedding of deterministic time series. Its use for stochastic and noisy ...
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    Robust and Dynamically Consistent Model Order Reduction for Nonlinear Dynamic Systems 

    Source: Journal of Dynamic Systems, Measurement, and Control:;2015:;volume( 137 ):;issue: 002:;page 21011
    Author(s): Segala, David B.; Chelidze, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: There is a great importance for faithful reduced order models (ROMs) that are valid over a range of system parameters and initial conditions. In this paper, we demonstrate through two nonlinear dynamic models (pinned–pinned ...
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    Dynamic Model for Fatigue Evolution in a Cracked Beam Subjected to Irregular Loading 

    Source: Journal of Vibration and Acoustics:;2017:;volume( 139 ):;issue: 001:;page 14502
    Author(s): Hai Nguyen, Son; Chelidze, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The coupling of vibration and fatigue crack growth in a simply supported uniform Euler–Bernoulli beam containing a single-edge crack is analyzed. The fatigue crack length is treated as a generalized coordinate in a model ...
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    Irrational Nonlinearity Enhances the Targeted Energy Transfer in a Rotary Nonlinear Energy Sink 

    Source: Journal of Computational and Nonlinear Dynamics:;2024:;volume( 019 ):;issue: 006:;page 61001-1
    Author(s): Treacy, Collin; Stein, Dalton; Chelidze, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Efficient passive vibration absorption can prevent the failure of systems without requiring sensors or energy sources. Nonlinear energy sinks (NES) have gained popularity as passive vibration absorbers due to their targeted ...
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    Nonlinear System Identification and Modeling of a New Fatigue Testing Rig Based on Inertial Forces 

    Source: Journal of Vibration and Acoustics:;2014:;volume( 136 ):;issue: 004:;page 41001
    Author(s): Falco, Michael; Liu, Ming; Hai Nguyen, Son; Chelidze, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A novel fatigue testing rig based on inertial forces is introduced. The test rig has capacity to mimic various loading conditions including high frequency loads. The rig design allows reconfigurations to accommodate a range ...
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    Different Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations 

    Source: Journal of Applied Mechanics:;2014:;volume( 081 ):;issue: 004:;page 41004
    Author(s): Nguyen, Son Hai; Falco, Mike; Liu, Ming; Chelidze, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Estimating and tracking crack growth dynamics is essential for fatigue failure prediction. A new experimental system—coupling structural and crack growth dynamics—was used to show fatigue damage accumulation is different ...
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