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    Saddlepoint Approximation for Sequential Optimization and Reliability Analysis 

    Source: Journal of Mechanical Design:;2008:;volume( 130 ):;issue: 001:;page 11011
    Author(s): Xiaoping Du
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A good balance between accuracy and efficiency is essential for reliability-based design (RBD). For this reason, sequential-loops formulations combined with the first-order reliability method (FORM) ...
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    Unified Uncertainty Analysis by the First Order Reliability Method 

    Source: Journal of Mechanical Design:;2008:;volume( 130 ):;issue: 009:;page 91401
    Author(s): Xiaoping Du
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Two types of uncertainty exist in engineering. Aleatory uncertainty comes from inherent variations while epistemic uncertainty derives from ignorance or incomplete information. The former is usually ...
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    Toward Time-Dependent Robustness Metrics 

    Source: Journal of Mechanical Design:;2012:;volume( 134 ):;issue: 001:;page 11004
    Author(s): Xiaoping Du
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Quality characteristics are often treated as constants in robust design, while many of them actually vary over time. It is desirable to define new robustness metrics for time-dependent quality ...
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    An Approximation Approach to General Robustness Assessment for Multidisciplinary Systems 

    Source: Journal of Computing and Information Science in Engineering:;2010:;volume( 010 ):;issue: 001:;page 11003
    Author(s): Xiaoping Du; Yi Zhang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In many engineering applications, both random and interval variables exist. The mixture of both types of variables has been dealt with in robust design for single-disciplinary systems. This work ...
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    Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations 

    Source: Journal of Mechanical Design:;2006:;volume( 128 ):;issue: 001:;page 26
    Author(s): Beiqing Huang; Xiaoping Du
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Uncertainty analysis, which assesses the impact of the uncertainty of input variables on responses, is an indispensable component in engineering design under uncertainty, such as reliability-based ...
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    A Second-Order Reliability Method With First-Order Efficiency 

    Source: Journal of Mechanical Design:;2010:;volume( 132 ):;issue: 010:;page 101006
    Author(s): Junfu Zhang; Xiaoping Du
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The first-order reliability method (FORM) is efficient but may not be accurate for nonlinear limit-state functions. The second-order reliability method (SORM) is more accurate but less efficient. ...
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    Time-Dependent Reliability Analysis for Function Generator Mechanisms 

    Source: Journal of Mechanical Design:;2011:;volume( 133 ):;issue: 003:;page 31005
    Author(s): Junfu Zhang; Xiaoping Du
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A function generator mechanism links its motion output and motion input with a desired functional relationship. The probability of realizing such functional relationship is the kinematic reliability. ...
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    Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design 

    Source: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 002:;page 225
    Author(s): Xiaoping Du; Wei Chen
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Probabilistic design, such as reliability-based design and robust design, offers tools for making reliable decisions with the consideration of uncertainty associated with design variables/parameters ...
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    First Order Reliability Method With Truncated Random Variables 

    Source: Journal of Mechanical Design:;2012:;volume( 134 ):;issue: 009:;page 91005
    Author(s): Xiaoping Du; Zhen Hu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In many engineering applications, the probability distributions of some random variables are truncated; these truncated distributions are resulted from restricting the domain of other probability ...
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    An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy 

    Source: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 004:;page 562
    Author(s): Xiaoping Du; Agus Sudjianto; Wei Chen
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this work, we propose an integrated framework for optimization under uncertainty that can bring both the design objective robustness and the probabilistic design constraints into account. The ...
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