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    Reliability-Based Topology Optimization Using Mean-Value Second-Order Saddlepoint Approximation 

    Source: Journal of Mechanical Design:;2018:;volume( 140 ):;issue: 003:;page 31403
    Author(s): Papadimitriou, Dimitrios I.; Mourelatos, Zissimos P.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A reliability-based topology optimization (RBTO) approach is presented using a new mean-value second-order saddlepoint approximation (MVSOSA) method to calculate the probability of failure. The topology optimizer uses a ...
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    Reliability Analysis Using Second-Order Saddlepoint Approximation and Mixture Distributions 

    Source: Journal of Mechanical Design:;2019:;volume( 141 ):;issue: 002:;page 21401
    Author(s): Papadimitriou, Dimitrios I.; Mourelatos, Zissimos P.; Hu, Zhen
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper proposes a new second-order saddlepoint approximation (SOSA) method for reliability analysis of nonlinear systems with correlated non-Gaussian and multimodal random variables. The proposed method overcomes the ...
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    Reliability Analysis of Nonlinear Vibratory Systems Under Non-Gaussian Loads Using a Sensitivity-Based Propagation of Moments 

    Source: Journal of Mechanical Design:;2020:;volume( 142 ):;issue: 006
    Author(s): Papadimitriou, Dimitrios; Mourelatos, Zissimos P.; Patil, Santosh; Hu, Zhen; Tsianika, Vasiliki; Geroulas, Vasileios
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The paper proposes a new methodology for time-dependent reliability analysis of vibratory systems using a combination of a first-order, four-moment (FOFM) method and a non-Gaussian Karhunen–Loeve (NG-KL) expansion. The ...
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    Collision-Avoidance Reliability Analysis of Automated Vehicle Based on Adaptive Surrogate Modeling 

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2019:;volume( 005 ):;issue:002:;page 20906
    Author(s): Liu, Yixuan; Zhao, Ying; Hu, Zhen; Mourelatos, Zissimos P.; Papadimitriou, Dimitrios
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a reliability analysis method for automated vehicles equipped with adaptive cruise control (ACC) and autonomous emergency braking (AEB) systems to avoid collision with an obstacle in front of the vehicle. ...
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    Nonlinear Random Vibrations Using Second-Order Adjoint and Projected Differentiation Methods 

    Source: Journal of Vibration and Acoustics:;2022:;volume( 144 ):;issue: 005:;page 51001-1
    Author(s): Papadimitriou, Dimitrios; Mourelatos, Zissimos P.; Hu, Zhen
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper proposes a new computationally efficient methodology for random vibrations of nonlinear vibratory systems using a time-dependent second-order adjoint variable (AV2) method and a second-order projected differentiation ...
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    Reliability Analysis and Random Vibration of Nonlinear Systems Using the Adjoint Method and Projected Differentiation 

    Source: Journal of Mechanical Design:;2020:;volume( 143 ):;issue: 006:;page 061705-1
    Author(s): Papadimitriou, Dimitrios; Mourelatos, Zissimos P.; Hu, Zhen
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper proposes a new methodology for time-dependent reliability and random vibrations of nonlinear vibratory systems using a combination of a time-dependent adjoint variable (AV) method and a projected differentiation ...
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