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Keywords: polynomial chaos expansion
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Journal Articles

Novel Performance-Oriented Tolerance Design Method Based on Locally Inferred Sensitivity Analysis and Improved Polynomial Chaos Expansion

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Guodong Sa, Zhenyu Liu, Chan Qiu, Xiang Peng, Jianrong Tan
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. February 2021, 143(2): 022001.
Paper No: MD-19-1499
https://doi.org/10.1115/1.4047683
Published Online: August 18, 2020
... based on the proposed locally inferred sensitivity analysis method. Then, based on the improved approximate polynomial chaos expansion, a surrogate model of the product performance and main tolerance variables is established. Finally, the geometric tolerances of the electromechanical products...
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Topics: Chaos, Polynomials, Sensitivity analysis, Design methodology, Errors, Design, Modeling
Journal Articles

Mapping-Based Hierarchical Sensitivity Analysis for Multilevel Systems With Multidimensional Correlations

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Can Xu, Ping Zhu, Zhao Liu, Wei Tao
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. January 2021, 143(1): 011707.
Paper No: MD-20-1030
https://doi.org/10.1115/1.4047689
Published Online: August 13, 2020
... indices of multilevel systems with multidimensional correlations. For subsystems with dependent variables, a mapping-based sensitivity analysis, consisting of vine copula theory, Rosenblatt transformation, and polynomial chaos expansion (PCE) technique, is provided for obtaining the marginal sensitivity...
View Articletitled, Mapping-Based Hierarchical Sensitivity Analysis for Multilevel Systems With Multidimensional Correlations
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Topics: Chaos, Modeling, Polynomials, Sensitivity analysis, Composite materials, Uncertainty