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    A Reduced-Order Wiener Path Integral Formalism for Determining the Stochastic Response of Nonlinear Systems With Fractional Derivative Elements 

    Source: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg:;2023:;volume( 009 ):;issue: 003:;page 31201-1
    Author(s): Mavromatis, Ilias G.; Kougioumtzoglou, Ioannis A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A technique based on the Wiener path integral (WPI) is developed for determining the stochastic response of diverse nonlinear systems with fractional derivative elements. Specifically, a reduced-order WPI formulation is ...
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    Nonlinear Oscillator Stochastic Response and Survival Probability Determination via the Wiener Path Integral 

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2015:;volume( 001 ):;issue: 002:;page 21005
    Author(s): Zhang, Yuanjin; Kougioumtzoglou, Ioannis A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A Wiener path integral (WPI) technique based on a variational formulation is developed for nonlinear oscillator stochastic response determination and reliability assessment. This is done in conjunction with a stochastic ...
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    Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation 

    Source: Journal of Applied Mechanics:;2014:;volume( 081 ):;issue: 005:;page 51016
    Author(s): Spanos, Pol D.; Kougioumtzoglou, Ioannis A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A novel approximate analytical technique for determining the survival probability and firstpassage probability density function (PDF) of nonlinear/hysteretic oscillators subject to evolutionary stochastic excitation is ...
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    Ice Gouge Depth Determination Via an Efficient Stochastic Dynamics Technique 

    Source: Journal of Offshore Mechanics and Arctic Engineering:;2017:;volume( 139 ):;issue: 001:;page 11501
    Author(s): Gazis, Nikolaos; Kougioumtzoglou, Ioannis A.; Patelli, Edoardo
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A simplified model of the motion of a grounding iceberg for determining the gouge depth into the seabed is proposed. Specifically, taking into account uncertainties relating to the soil strength, a nonlinear stochastic ...
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    Special Issue on Decision Making Under Risk and Uncertainty Using Systems and Control Theory Approach 

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2015:;volume( 001 ):;issue: 002:;page 20201
    Author(s): Pantelous, Athanasios A.; Kougioumtzoglou, Ioannis A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A concerted effort was made to achieve broad thematic perspective and geographic representation. This special issue is intended to aid in increasing interest and expansion of the crossdisciplinary field of the quantification, ...
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    Special Section on Response Analysis and Optimization of Dynamic Energy Harvesting Systems in Presence of Uncertainties 

    Source: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg:;2021:;volume( 007 ):;issue: 001:;page 010301-1
    Author(s): Giaralis, Agathoklis; Kougioumtzoglou, Ioannis A.; Spanos, Pol D.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This special section of the ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems: Part B comprises ten papers related to recent advances and emerging approaches on response analysis and optimization of energy ...
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    Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements 

    Source: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg:;2021:;volume( 007 ):;issue: 001:;page 010901-1
    Author(s): Petromichelakis, Ioannis; Psaros, Apostolos F.; Kougioumtzoglou, Ioannis A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A methodology based on the Wiener path integral (WPI) technique is developed for stochastic response determination and reliability-based design optimization of a class of nonlinear electromechanical energy harvesters endowed ...
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    Filter Approximations for Random Vibroacoustics of Rigid Porous Media 

    Source: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg:;2024:;volume( 010 ):;issue: 003:;page 31201-1
    Author(s): Sreekumar, Abhilash; Kougioumtzoglou, Ioannis A.; Triantafyllou, Savvas P.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An approximate efficient stochastic dynamics technique is developed for determining response statistics of linear systems with frequency-dependent parameters, which are used for modeling wave propagation through rigid ...
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    On the Efficacy of Sparse Representation Approaches for Determining Nonlinear Structural System Equations of Motion 

    Source: ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg:;2025:;volume( 011 ):;issue: 003:;page 31207-1
    Author(s): Pasparakis, George D.; Fragkoulis, Vasileios C.; Kougioumtzoglou, Ioannis A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A sparsity-based optimization approach is presented for determining the equations of motion of stochastically excited nonlinear structural systems. This is done by utilizing measured excitation-response realizations in the ...
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    An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems 

    Source: Journal of Applied Mechanics:;2015:;volume( 082 ):;issue: 010:;page 101005
    Author(s): Kougioumtzoglou, Ioannis A.; Di Matteo, Alberto; Spanos, Pol D.; Pirrotta, Antonina; Di Paola, Mario
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The recently developed approximate Wiener path integral (WPI) technique for determining the stochastic response of nonlinear/hysteretic multidegreeoffreedom (MDOF) systems has proven to be reliable and significantly more ...
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