Xiaoping Du

Professor of Mechanical Engineering | ASME Fellow

Publications

Google Scholar Profile: https://scholar.google.com/citations?hl=en&user=BbZq8AcAAAAJ&view_op=list_works&sortby=pubdate

*: Corresponding author, †: With my students

Journal Articles

  1. Tootchi, A., and Du, X.*, "Robust Design Under Machine Learning Model Uncertainty." ASME Journal of Mechanical Design, 148(2): 021701, 2026.
  2. Yin, J†, Hu, Z., Du, X.*, “Uncertainty Quantification with Mixed Data by Hybrid Convolutional Neural Network for Additive Manufacturing,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Mechanical Engineering, 10(3): 031103, 2024.
  3. Du, X. *, “Accounting for Machine Learning Prediction Errors in Design,” Journal of Mechanical Design, 146(5): 051709, 2024.
  4. Du, X. *, “Uncertainty Separation Method for Simulation with Image and Numerical Data,” Journal of Verification, Validation and Uncertainty Quantification, 9(1): 011004, 2024.
  5. Wu, H.†, Du, X. *, “Time-and Space-Dependent Reliability-Based Design with Envelope Method,” Journal of Mechanical Design, 145(3): 031708, 2023.
  6. Li, H. †, Du, X.*, “Recovering Missing Component Dependence for System Reliability Prediction via Synergy Between Physics and Data,” Journal of Mechanical Design, 44(1): 041701, 2022.
  7. Wu, H.†, Du, X.*, “Envelope Method for Time-and Space-Dependent Reliability Prediction,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B, 8(4): 041201, 2022.
  8. Yu, H.*, Monsurul K., Wu, H.†, Du, X., Chen, R., Rollins, D.M., Fang, X., Long, L., Xu, C., and Sawchuk, A.P., “A New Noninvasive and Patient ‐ Specific Hemodynamic Index for the Severity of Renal Stenosis and Outcome of Interventional Treatment, ” International Journal for Numerical Methods in Biomedical Engineering, 38(7): e3611, 2022.
  9. Shen, D, Yin, J†, Du, X.*, Li, L., “Distributed Stochastic Model Predictive Control with Taguchi's Robustness for Vehicle Platooning,” IEEE Transactions on Intelligent Transportation Systems, 23(9): 15967 – 15979, 2022.
  10. Yu, H.*, Khan, M., Wu, H.†, Zhang, C., Du, X., Chen, R., Fang, X., Long, J. and Sawchuk, A.P., “Inlet and Outlet Boundary Conditions and Uncertainty Quantification in Volumetric Lattice Boltzmann Method for Image-Based Computational Hemodynamics,” Fluids, 7(1): 30, 2022.
  11. Yin, J.†, Du, X.*, “High-Dimensional Reliability Method Accounting for Important and Unimportant Input Variables,” Journal of Mechanical Design, 44(4):041702, 2022.
  12. Yin, J.†, Du, X.*, “Active Learning with Generalized Sliced Inverse Regression for High-Dimensional Reliability Analysis,” Structural Safety, 94: 102151, 2022.
  13. Hu, Z.†, Mansour, R.*, Olsson, M., Du, X., “Second-order Reliability Methods: A Review and Comparative Study,” Structural and Multidisciplinary Optimization, 64: 3233–3263, 2021.
  14. Zhao, J, Wei†, X., Du, X.*, He, X., Han, D., “Photoelectron Sheath and Plasma Charging on the Lunar Surface: Semianalytic Solutions and Fully-kinetic Particle-in-Cell Simulations,” IEEE Transactions on Plasma Science 49(10): 3036-3050, 2021.
  15. Yin, Y.†, Du, X.*, “A Safety Factor Method for Reliability-Based Component Design,” Journal of Mechanical Design, 143(9): 091705, 2021.
  16. Wei, X.†, Zhao, J., He, X., Hu, Z., Du, X., Han, D.*, “Adaptive Kriging Method for Uncertainty Quantification of the Photoelectron Sheath and Dust Levitation on the Lunar Surface,” Journal of Verification, Validation and Uncertainty Quantification, 6(1): 011006, 2021.
  17. Wei, X.†, Han, D., Du, X.*, “Physics-Based Gaussian Process Method for Predicting Average Product Lifetime in Design Stage,” Journal of Computing and Information Science in Engineering, 21(4): 041006, 2021.
  18. Wei, X.†, Han, D., Du, X.*, “Approximation to Multivariate Normal Integral and Its Application in Time-Dependent Reliability Analysis,” Structural Safety, 88,102008, 2021.
  19. Meng, L., Du, X., McWilliams, B., Zhang, J.*, “Probabilistic Feasibility Design of Laser Powder Bed Fusion Process Using Integrated First Order Reliability and Monte Carlo Methods,” Journal of Manufacturing Science and Engineering, 143(9): 091004, 2021.
  20. Wu, H.†, Hu, Z.†, Du, X.*, “Time-Dependent System Reliability Analysis with Second-Order Reliability Method,” Journal of Mechanical Design, 2021, 143(3): 031101, 2021.
  21. Wu, H.†, Du, X.*, “System Reliability Analysis with Second-Order Saddlepoint Approximation,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 6(4): 041001, 2020.
  22. Wei, X.†, Du, X.*, “Robustness Metric for Robust Design Optimization under Time-and Space-Dependent Uncertainty through Metamodeling,” Journal of Mechanical Design, 142(3), 031110, 2020.
  23. Wu, H.†, Zhu, Z.†, Du, X.*, “System Reliability Analysis with Autocorrelated Kriging Predictions,” Journal of Mechanical Design, 142(10): 101702, 2020.
  24. Hu, Z.†, Du, X.*, “A Partial Safety Factor Method for System Reliability prediction With Outsourced Components,” Risk, Reliability, and Uncertainty Quantification in Automotive Applications”, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 5(2), 020910, 2019.
  25. Hu, Z.†, Du, X.*, “One-Class Support Vector Machines with a Bias Constraint and Its Application in System Reliability Prediction,” Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 33(3), 346-358, 2019.
  26. Hu, Z.†, Du, X.*, “Efficient Reliability-based Design with Second Order Approximations,” Engineering Optimization, 51(1), 101-119, 2019.
  27. Hu, Z.†, Du, X.*, “Reliability Methods for Bimodal Distribution with First-Order Approximation,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 5(1), 011005-1-8, 2019.
  28. Hu, Z.†, Du, X.*, “An Exploratory Study for Predicting Component Reliability with New Load Conditions,” Frontiers of Mechanical Engineering, 14(1), 76–84, 2019.
  29. Wei, X.†, Du, X.*, “Uncertainty Analysis for Time- and Space-Dependent Responses with Random Variables,” Journal of Mechanical Design, 141(2), 021402-1- 6, 2019.
  30. Subramaniyan, A.B., Pan, R.*, Du, X., “Reliability-Based Design Optimization of Load Sharing Systems Using SSI-Markov Models,” Designs, 3(3):34, 2019.
  31. Xie, S., Pan, B.*, Du, X., “An Inverse Reliability Analysis Method for Reliability-Based Design Optimization with Random and Dependent Interval Variables Constrained Within Ellipsoids,” Engineering Optimization, 51(12), 2109-2126, 2019.
  32. Hu, Z.†, Du, X.*, “Integration of Statistics-And Physics-Based Methods—A Feasibility Study on Accurate System Reliability Prediction,” Journal of Mechanical Design, 140(7): 074501, 2018.
  33. Chen, Y.†, Du, X.*, “Toward the Effect of Dependent Interval Distribution Parameters on Reliability Prediction,” Journal of Computing and Information Science in Engineering, 18(2), 021008-1 – 021008-10, 2018.
  34. Zhang, X., Zhang, Y, Du, X.*, “Reliability Analysis for k-out-of-n Systems with Sharing Load and Dependent Components,” Structural and Multidisciplinary Optimization, 57(3), 913-923, 2018.
  35. Hu, Z.†, Du, X.*, “Saddlepoint Approximation Reliability Method for Quadratic Functions in Normal Variables,” Structural Safety, 71, 24-32, 2018.
  36. Hu, Z.†, Zhu, Z.†, Du, X.*, “Time-Dependent System Reliability Analysis for Bivariate Responses,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering, 4(3), 031002-1-14, 2018.
  37. Xie, S., Pan, B.*, Du, X., “High Dimensional Model Representation for Hybrid Reliability Analysis with Dependent Interval Variables Constrained within Ellipsoids,” Structural and Multidisciplinary Optimization, 56(6), 1493-1505, 2017.
  38. Hu, Z.†, Du, X.*, “System Reliability Prediction with Shared Load and Unknown Component Design Details,” Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 223-234, 31, 2017, 2017.
  39. Cheng, Y.†, Conrad, D., Du, X.*, “Narrower System Reliability Bounds with Incomplete Component Information and Stochastic Process Loading,” ASME Journal of Computing and Information Science in Engineering, 17(4), 041007-1-041007-11, 2017.
  40. Zhu, Z†, Du, X.*, “Reliability Analysis with Monte Carlo Simulation and Dependent Kriging Predictions,” Journal of Mechanical Design, 138(12), 121403-1-11, 2016.
  41. Xie, S., Pan, B.*, Du, X., “An Efficient Hybrid Reliability Analysis Method with Random and Interval Variables,” Engineering Optimization, 48(9), 1459-1473, 2016.
  42. Xu, M.†, Du, X., Qiu, Z.*, Wang, C., “Epistemic Uncertainty Propagation in Energy Flows between Structural Vibrating Systems,” Journal of Sound and Vibration, (366), 372-395, 2016.
  43. Hu, Z.†, Du, X.*, “Reliability-Based Design Optimization under Stationary Stochastic Process Loads,” Engineering Optimization, 48(8), 1296-1312, 2016.
  44. Hu, Z.†, Mahadevan, S.*, Du, X., “Uncertainty Quantification of Time-Dependent Reliability Analysis in the Presence of Parametric Uncertainty,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B. Mechanical Engineering, 2(3), 031001-031001-9, 2016.
  45. Cheng, Y.†, Du, X.*, “System Reliability Analysis with Dependent Component Failures during Early Design Stage – A Feasibility Study,” ASME Journal of Mechanical Design, 138(5), 051405-051405-12, 2016.
  46. Hu, Z.†, Du, X.*, “A Random Field Approach to Reliability Analysis with Random and Interval Variables,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B. Mechanical Engineering, 1(4), 2015.
  47. Zhang, J., Du, X.*, “Time-Dependent Reliability Analysis for Function Generation Mechanisms with Random Joint Clearances,” Mechanism and Machine Theory, 92(8), 2015.
  48. Xie, S., Pan, B., Du, X.*, “A Single-Loop Optimization Method for Reliability Analysis with Second Order Uncertainty,” Engineering Optimization, 47, 2015.
  49. Hu, Z.†, Du, X.*, “Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis,” ASME Journal of Mechanical Design, 137(5), 2015.
  50. Zhuang, X., Pan, R.*, Du., X., “Enhancing Product Robustness in Reliability-based Design Optimization,” Reliability Engineering and System Safety, 138, 2015.
  51. Hu, Z.†, Du, X.*, “First Order Reliability Method for Time-Variant Problems Using Series Expansions,” Structural and Multidisciplinary Optimization, 51(1), 2015.
  52. Wang Y.†, Yu, X., Du, X.*, “Improved Reliability-Based Optimization with Support Vector Machines and Its Application in Aircraft Wing Design,” Mathematical Problems in Engineering, 2015.
  53. Li, H., Hu, Z.†, Chandrashekhara K.*, Du, X., and Mishra R., “Reliability-Based Fatigue Life Investigation for A Medium-Scale Composite Hydrokinetic Turbine Blade,” Ocean Engineering, 89(1), 230-242, 2014.
  54. Yang, C., Du, X.*, “Robust Design for Multivariate Quality Characteristics Using Extreme Value Distribution,” Journal of Mechanical Design, 136(10), 101405-1 - 101405-8, 2014.
  55. Du, X.*, “Time-Dependent Mechanism Reliability Analysis with Envelope Functions and First-Order Approximation,” Journal of Mechanical Design, 136(8), 081010-1 - 081010-7, 2014.
  56. Hu, Z.†, Du, X.*, Kolekarb, N.S., and Banerjee, A., “Robust Design with Imprecise Random Variables and Its Application in Hydrokinetic Turbine Optimization,” Engineering Optimization, 46(3), 393-419, 2014.
  57. Hu, Z.†, Du, X.*, Conrad, D., Twohy, R., and Walmsley, M., “Fatigue Reliability Analysis for Structures with Known Loading Trend,” 50(1), 9-23, Structural and Multidisciplinary Optimization, 2014.
  58. Hu, Z.†, Du, X.*, “Lifetime Cost Optimization with Time-Dependent Reliability,” Engineering Optimization, 46(10), 1389-1410, 2014.
  59. Zhang, X., Hu, Z.†, Du, X.*, “Probabilistic Inverse Simulation and Its Application in Vehicle Accident Reconstruction,” Journal of Mechanical Design, 135(12), 121006-1 - 121006-10, 2013.
  60. Hu, Z.†, Du, X.*, “A Sampling Approach to Extreme Values of Stochastic Processes for Reliability Analysis,” Journal of Mechanical Design, 135(7), 071003-1 - 071003-8, 2013.
  61. Hu, Z.†, Du, X.*, “Time-Dependent Reliability Analysis with Joint Upcrossing Rates,” Structural and Multidisciplinary Optimization, 48(5), 893-907, 2013.
  62. Du, X.*, “Inverse Simulation under Uncertainty by Optimization,” ASME Computing and Information Science in Engineering, 13(2), 021005-1 – 021005-8, 2013.
  63. Hu, Z.†, Du, X.*, “Simulation-Based Time-Dependent Reliability Analysis for Composite Hydrokinetic Turbine Blades,” Structural and Multidisciplinary Optimization, 47(5), 765-781, 2013.
  64. Luo, K., Du, X.*, “Probabilistic Mechanism Analysis with Bounded Random Dimension Variables,” Mechanism and Machine Theory, 60, 112-121, 2013.
  65. Wang Y.†, Yu, X., Du, X.*, “Sequential Reliability-Based Optimization with Support Vector Machines,” Chinese Journal of Computational Mechanics, 30(4), 485-490, 2013.
  66. Luo, K., Wang, J., Du, X.*, “Robust Mechanism Synthesis with Truncated Dimension Variables and Interval Clearance Variables,” Mechanism and Machine Theory, 57, 71-83, 2012.
  67. Du, X.*, Hu, Z.†, “First Order Reliability Method with Truncated Random Variables,” ASME Journal of Mechanical Design, 134(9), 091005, 2012.
  68. Hu, Z.†, Du, X.*, “Reliability Analysis for Hydrokinetic Turbine Blades,” Renewable Energy, 48, 251–262, 2012.
  69. Du, X.*, “Robust Design Optimization with Bivariate Quality Characteristics,” Structural and Multidisciplinary Optimization, 46(2), 187-199, 2012.
  70. Du, X.*, “Reliability-Based Design Optimization with Dependent Interval Variables,” International Journal for Numerical Methods in Engineering, 91(2), 218–228, 2012.
  71. Du, X.*, “Towards Time-Dependent Robustness Metrics,” Journal of Mechanical Design, 134(1), 011004-1 - 011004-8, 2012.
  72. Zhang, J., Wang, J., Du, X.*, “Time-Dependent Probabilistic Synthesis for Function Generator Mechanisms,” Mechanism and Machine Theory, 46(9), 1236-1250, 2011.
  73. Wang, J., Zhang, J., Du, X.*, “Hybrid Dimension Reduction for Mechanism Reliability Analysis with Random Joint Clearances,” Mechanism and Machine Theory, 46(10), 1396-1410, 2011.
  74. Zhang, J., Du, X.*, “Time-Dependent Reliability Analysis for Function Generator Mechanisms,” ASME Journal of Mechanical Design, 133(3), 031005-1 -031005-9, 2011.
  75. Zhang, J., Du, X.*, “Second-Order Reliability Method with First-Order Efficiency,” ASME Journal of Mechanical Design, 132(10), 101006-1 - 101006-8, 2011.
  76. Wang, Z.†, Du, X.*, Huang, H.Z., “Optimal Design Accounting for Reliability, Maintenance, and Warranty,” ASME Journal of Mechanical Design, 132(1), 011007-1 - 011007-8, 2010.
  77. Du, X.*, Zhang, Y.†, “A General Approach to Robustness Assessment for Multidisciplinary Systems,” ASME Journal of Computing and Information Science in Engineering, 10(1), 011003-1 – 011003-9, 2010.
  78. Guo, J.†, Du, X.*, “Reliability Analysis for Multidisciplinary Systems with Random and Interval variables,” AIAA Journal, 48(1), 82-91, 2010.
  79. Du, X.*, “System Reliability Analysis with Saddlepoint Approximation,” Structural and Multidisciplinary Optimization, 42(2), 193-208, 2010.
  80. Guo, J.†, Du, X.*, “Reliability Sensitivity Analysis with Random and Interval Variables,” International Journal for Numerical Methods in Engineering, 78(13), 1585 - 1617, 2009.
  81. Du, X.*, Venigella, P.†, Liu, D., “Robust Mechanism Synthesis with Random and Interval Variables,” Mechanism and Machine Theory, 44(7), 1321-1337, 2009.
  82. Du, X.*, “Unified Uncertainty Analysis with the First Order Reliability Method,” Journal of Mechanical Design, 130(9), 091401-091410, 2008.
  83. Du, X.*, “Saddlepoint Approximation for Sequential Optimization and Reliability Analysis,” Journal of Mechanical Design, 130(1) 011011-011022, 2008.
  84. Guo, J.†, Du, X.*, “Sensitivity Analysis with the Mixture of Epistemic and Aleatory Uncertainties,” AIAA Journal, 45(9), 2337-2349, 2007.
  85. Du, X.*, Guo, J.†, Beeram, H.K.†, “Sequential Optimization and Reliability Assessment for Multidisciplinary Systems Design,” Structural and Multidisciplinary Optimization, 35(2), 117-130, 2008.
  86. Huang, B.†, Du, X.*, “Uncertainty Analysis by Mean-Value First Order Saddlepoint Approximation,” Reliability Engineering and System Safety, 93(2), 325-336, 2008.
  87. Du, X.*, Huang, B.†, “Reliability-Based Design Optimization with Equality Constraints,” International Journal for Numerical Methods in Engineering, 72(11), 1314-1331, 2007.
  88. Huang, B.†, Du, X.*, “Analytical Robustness Assessment for Robust Design,” Structural and Multidisciplinary Optimization, 34(2), 123-137, August 2007.
  89. Liu, D.*, Yue, W., Zhu, Y., and Du, X., “Robust Design Optimization with Interval Parameters Based on Performance Tolerances,” China Mechanical Engineering, 18(8), 952-957, 2007.
  90. Huang, B.†, Du, X.*, Lakshminarayana, R.†, “A Saddlepoint Approximation Based Simulation Method for Uncertainty Analysis,” International Journal of Reliability and Safety, 1(1/2), 206-224, 2006.
  91. Yu, X., Du, X.*, “Reliability-Based Multidisciplinary Optimization for Aircraft Wing Design,” Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle Design and Performance, 2(3/4), 277-289, 2006.
  92. Huang, B.†, Du, X.*, “A Robust Design Method Using Gauss-Hermite Integration,” International Journal for Numerical Methods in Engineering,” 22(12), 1841-1858, 2006.
  93. Huang, H.Z.*, Gu, Y.K., Du, X., “An Interactive Fuzzy Multi-objective Optimization Method for Engineering Design,” Engineering Applications of Artificial Intelligence, 19(5), 451-460, 2006.
  94. Liu, D.*, Yue, W., Du, X., “Study on Uncertainty Analysis and Robust Design: A Review,” China Mechanical Engineering, 17(17), 1834-1841, 2006.
  95. Liu, D.*, Yue, W., Du, X., “Robust Performance Variation for Robust Design Optimization with Multiple Optimal Points,” China Journal of Mechanical Engineering, 42(10), 1-9, 2006.
  96. Huang, B.†, Du, X.*, “Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations,” Journal of Mechanical Design, 128(1), 26-33, 2006.
  97. Sudjianto, A., Du, X.*, Chen W., “Probabilistic Sensitivity Analysis in Engineering Design Using Uniform Sampling and Saddlepoint Approximation,” Paper No. 2005-01-0344, SAE 2005 Transactions Journal of Passenger Cars: Mechanical Systems, V114-6, pp.267-276, 2005.
  98. Du, X.*, Sudjianto, A., Huang, B.†, “Reliability-Based Design under the Mixture of Random and Interval Variables,” Journal of Mechanical Design, 127(6), 1068-1076, 2005.
  99. Du, X., Chen, W.*, “Collaborative Reliability Analysis under the Framework of Multidisciplinary Systems Design,” Optimization and Engineering, 6(1), 63-84, 2005.
  100. Du, X.*, Sudjianto, A., Chen, W., “An Integrated Framework for Optimization under Uncertainty Using Inverse Reliability Strategy,” Journal of Mechanical Design, 126(4), 562-570, 2004.
  101. Du, X.*, Sudjianto, A., “The First Order Saddlepoint Approximation for Reliability Analysis,” AIAA Journal, 42(6), 1199-1207, 2004.
  102. Du, X., Chen, W.*, “Sequential Optimization and Reliability Assessment for Probabilistic Design,” Journal of Mechanical Design, 126(2), 225-233, 2004.
  103. Jin, R., Du, X., Chen, W.*, “The Use of Metamodeling Techniques for Design under Uncertainty,” Structural and Multidisciplinary Optimization, 25(2), 99-116, 2003.
  104. Du, X., Chen, W.*, “Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design,” AIAA Journal, 4(3), 545-552, 2002.
  105. Du, X., Chen, W.*, “A Most Probable Point Based Method for Uncertainty Analysis,” Journal of Design and Manufacturing Automation, 4(1), 47-66, 2001.
  106. Du, X., Chen, W.*, “Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design,” Journal of Mechanical Design, 122(4), 385-394, 2000.
  107. Du, X., Chen, W.*, “Methodology for Managing Uncertainty in Simulation-Based Systems Design,” AIAA Journal, 38(8), 1471-1478, 2000.
  108. Liu, Q.*, Lin, Y., Du, X., “The Development and Research Direction of Petroleum Casing Reliability,” Technology Supervision in Petroleum Industry, (7), 8-10, 1999.
  109. Zhen, G.*, Guo, X., Du, X., Ai, Z., Hou, Y., “Dynamic Simulation Model for the Hoisting System of XJ350 Workover Rig”, Journal of Southwest Petroleum Institute, 20(4), 59-62, 1998.
  110. Hou, Y.*, Du, X., Ai, Z., Gao, J., Liu, H., “A Preliminary Study on Dynamic Simulation of Workover Rig Hoisting Systems,” Petroleum Machinery, (12), 4-8, 1998.
  111. Du, X.*, “Simulation Method for Determining the Optimum Preventive Maintenance Period with Minimum Cost,” Plant Maintenance Engineering, 17(2), 4-6, 1996.
  112. Du, X.*, “A Sampling Method for the Life of Incompletely Repairable Components,” Journal of Mechanical Strength, 18(1), 72-76, 1996.
  113. Du, X.*, “The Estimation of Confidence Level of System Reliability with Simulation under Stress-Strength Model,” Machinery Design and Manufacture, (2), 6-9, 1996.
  114. Du, X.*, “Reliability Synthesis for Mechanisms,” Machine Design, 13(1), 8-11, 1996.
  115. Du, X.*, “Mechanism Error and Reliability Analysis,” Machinery, 22(4), 16-18, 1995.
  116. Du, X.*, “Reliability Analysis for Mechanical Transmission Systems with Monte Carlo Simulation,” (2), 17-20, 25, 1995.
  117. Du, X.*, “The Reliability Analysis Using Monte Carlo Method Combined with Numerical Methods,” Journal of Mechanical Strength, 17(4), 71-75, 1995.
  118. Du, X.*, Ai, Z. and Jin, X., “A Dynamic Model and Simulation Method for Structural Reliability,” Journal of Southwest Jiao Tong University, 3(6), 119-180, 1995.
  119. Du, X.*, “Mechanical Fuzzy Reliability Simulation,” Machine Design, 12(10), 10-13, 1995.
  120. Du, X.*, “Fuzzy Reliability Analysis for Mechanisms,” Machinery Design and Manufacture, (1), 5-8, 1995.
  121. Du, X.*, “Determine the Optimal Preventive Maintenance Period of a System with Computer Simulation,” Plant Maintenance Engineering, 15(10), 4-5, 1994.
  122. Du, X.*, “SRDS-Digital Simulation System for System Reliability,” Applications of the Computer System, (12), 25-28, 1994.
  123. Du, X.*, “Reliability Analysis of Mechanical Transmission Systems with Correlated Failure Modes,” Mechanical Transmission, 18(3), 1-4, 1994.
  124. Du, X.*, “Solution to Real Motion Pattern of Mechanical System on Pumping Units,” China Petroleum Machinery, 22(11), 34-40, 1994.
  125. Du, X.*, “Computer Animation for CAM Systems,” Machine Design and Research, (3), 6-8, 1994.
  126. Du, X.*, “Analysis for Force Transmission Characteristics of Bean Pumping Units with Increased Stroke,” Old Field Equipment, 23(2), 14-17, 1994.
  127. Du, X.*, Huang, M., “Function Generation Synthesis of Four-Bar Mechanisms Using Equivalent Mechanisms,” Machinery, 21(1), 2-5, 1994 (with my advisor).
  128. Du, X.*, “Fuzzy Reliability Analysis for Mechanical Components,” Machinery, (21), 31-34, 39, 1994.
  129. Du, X.*, “Reliability Calculation for Mechanical Components with Multiple Failure Modes,” Modern Machinery, (4), 20-23, 1993.
  130. Du, X.*, “Animation Techniques for Beam Pumping Units,” Petroleum Machinery, 21(11), 11-14, 26, 1993.
  131. Du, X.*, “Computer Animation Techniques and Their Engineering Applications,” Application Research of Computers, 10(6):16-19, 1993.

Peer-reviewed Conference Papers

  1. Li, H.†, Yu, H, Wei, J, Du, X. *, “Effects of Image Uncertainty on Blood Flow Simulation,” Proceedings of the ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3B: 50th Design Automation Conference (DAC). Washington, DC, USA. August 25–28, 2024. V03BT03A037. ASME. https://doi.org/10.1115/DETC2024-141625, 2024.
  2. Du, X. *, “Optimization Under Uncertainty Using Physics-Based Label-Free Machine Learning,” 2024 International Congress on Human-Computer Interaction, Optimization and Robotic Applications (HORA), Istanbul, Turkiye, 2024, pp. 1-6, doi: 10.1109/HORA61326.2024.10550884.
  3. Du, X. *, “Accounting for Model Uncertainty in Machine Learning Assisted Mechanical Design,” Proceedings of the ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3B: 49th Design Automation Conference (DAC). Boston, Massachusetts, USA. August 20–23, 2023.
  4. Li, H.†, Panchal, JH, Du, X. *, “Quantification Model Uncertainty of Label-Free Machine Learning for Multidisciplinary Systems Analysis,” Proceedings of the ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3B: 49th Design Automation Conference (DAC). Boston, Massachusetts, USA. August 20–23, 2023.
  5. Du, X. *, “Accounting for Prediction Uncertainty from Machine Learning for Probabilistic Design,” 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET), Mohammedia, Morocco, 2023.
  6. Li, H. †, Yin, J. †, Du, X. *, “Uncertainty Quantification of Physics-Based Label-Free Deep Learning and Probabilistic Prediction of Extreme Events,” ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 14-17, 2022, St. Louis, Missouri.
  7. Wu, H.†, Du, X.*, “Envelope Method for Time- And Space-Dependent Reliability-Based Design,” ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 14-17, 2022, St. Louis, Missouri.
  8. Du, X.*, Yin, J.†, “Teaching Machine Learning for Analysis and Design to Mechanical Engineering Students,” ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 14-17, 2022, St. Louis, Missouri.
  9. Shen, D., Yin, J.†, Du, X.*, Li, L., 2021, “Distributed Nonlinear Model Predictive Control for Heterogeneous Vehicle Platoons Under Uncertainty,” 2021 IEEE International Intelligent Transportation Systems Conference (ITSC).
  10. Zhao, J., Wei, X., He, X., Han, D.*, Du, X., “Fully-Kinetic Particle-in-Cell Simulations of Photoelectron Sheath and Dust Levitation on Uneven Lunar Surface,” AIAA Scitech 2021 Forum, 2021.
  11. Li, H.†, Du, X.*, “A Bayesian Approach to Recovering Missing Component Dependence for System Reliability Prediction via Synergy between Physics and Data,” 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, August 17th – August 20th, 2021, online.
  12. Yin, J.†, Du, X.*, “High-Dimensional Reliability Method Accounting for Important and Unimportant Input Variables,” 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, August 17th – August 20th, 2021, online.
  13. Wei, X., Han, D., Du, X.*, “Predicting Average Product Lifetime Using Physics-Based Gaussian Process Method in Early Design Stage,” ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE2020, August 16-19, 2020, USA.
  14. Yin J.†, Du, X.*, “A Practical Safety Factor Method for Reliability-Based Component Design,” ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE2020 August 16-19, 2020, MO, USA.
  15. Wu, H., Du, X.*, “Time-Dependent System Reliability Analysis with Second Order Reliability Method,” ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE2020 August 16-19, 2020, MO, USA.
  16. Wu, H., Du, X.*, “System Reliability Analysis with Second Order Saddlepoint Approximation,” the ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE2019, August 18-21, 2019, Anaheim, CA, USA.
  17. Wei, X., Du, X.*, “A New Robustness Metric for Robust Design Optimization under Time-and Space-Dependent Uncertainty through Metamodeling,” ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE2019, August 18-21, 2019, Anaheim, CA, USA.
  18. Hu, Z.†, Du, X.*, “Second Order Reliability Method for Time-Dependent Reliability Analysis Using Sequential Efficient Global Optimization,” ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE2019, August 18-21, 2019, Anaheim, CA, USA.
  19. Hu, Z.†, Du, X.*, “A Partial Safety Factor Method for System Reliability prediction With Outsourced Components,” ASME 2018 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, August 26-29, 2018 in Quebec City, Canada.
  20. Wei, X†, Du, X.*, “Uncertainty Analysis for Time- and Space-Dependent Responses with Random Variables,” ASME 2018 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, August 26-29, 2018 in Quebec City, Canada.
  21. Hu, Z.†, Du, X.*, “System Reliability Analysis with In-House and Outsourced Components,” 2017 2nd International Conference on System Reliability and Safety, December 20-22, 2017, Milan, Italy.
  22. Hu, Z.†, Du, X.*, “Reliability Analysis for Components Used in New Environment,” 63rd Annual Reliability and Maintainability Symposium, January 23-26, 2017, Orlando, Florida, USA.
  23. Cheng, Y.†, Du, X.*, “Effect of Dependent Interval Distribution Parameters on Reliability Prediction,” ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 6–9, 2017, Cleveland, Ohio, USA.
  24. Hu, Z.†, Du, X.*, “A Mean Value Reliability Method for Bimodal Distributions,” ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 6–9, 2017, Cleveland, Ohio, USA.
  25. Hu, Z.†, Du, X.*, “A Physics-Based Reliability Method for Components Adopted in New Series Systems,” 2016 Annual Reliability & Maintainability Symposium, January 25-28, 2016 in Tucson, AZ.
  26. Zhu, Z.†, Du, X.*, “A System Reliability Method with Dependent Kriging Predictions,” ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 21-24, 2016, Charlotte, North Carolina, USA.
  27. Hu, Z.†, Du, X.*, “A Random Field Method for Time-Dependent Reliability Analysis with Random and Interval Variables,” ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 21-24, 2016, Charlotte, North Carolina, USA.
  28. Cheng, Y.†, Du, X.*, “Reduction of System Reliability Model Uncertainty by Considering Dependent Components with Stochastic Process Loading,” ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 21-24, 2016, Charlotte, North Carolina, USA.
  29. Du, X.*, Zhang J., “Optimization Design under Time-Dependent Uncertainty,” 2016 2nd International Conference on Mechanical, Electronic and Information Technology Engineering, May 21-22, 2016, Chongqing, China.
  30. Du, X.*, “Uncertainty Topics for Engineering Design Courses,” 13th ASME International Conference on Design Education, August 21-24, 2016, Charlotte, North Carolina, USA.
  31. Takai, S.*, Du, X., “Evaluations of Engineering Uncertainty,” ASME 2015 International Mechanical Engineering Congress & Exposition, Paper No. IMECE2015-53555, Houston, Texas, November 13-19, 2015.
  32. Zhu, Z.†, Hu, Z. †, Du, X.*, “Extreme Value Metamodeling for System Reliability with Time-Dependent Functions,” the ASME 2015 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 2-5, 2015, Boston, Massachusetts, USA.
  33. Du, X.*, “Development of Engineering Uncertainty Repository,” 12th ASME International Conference on Design Education, August 2-5, 2015, Boston, Massachusetts, USA.
  34. Zhu, Z.†, Hu, Z. †, Du, X.*, “Reliability Analysis for Multidisciplinary Systems Involving Stationary Stochastic Processes,” the ASME 2015 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 2-5, 2015, Boston, Massachusetts, USA.
  35. Hu, Z.†, Mahadevan, S.*, Du., X., “Uncertainty Quantification in Time-Dependent Reliability Analysis,” the ASME 2015 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 2-5, 2015, Boston, Massachusetts, USA.
  36. Cheng, Y.†, Du, X.*, “System Reliability Analysis with Dependent Component Failures During Early Design Stage,” ASME 2015 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, Paper No. IMECE2015-50269, Houston, TX, November 13-19, 2015.
  37. Du, X.*, “Teaching Uncertainty in Design and Analysis Courses,” 12th ASME International Conference on Design Education, August 17-20, 2014, Buffalo, New York, USA.
  38. Hu, Z. †, Du, X.*, “Efficient Global Optimization Reliability Analysis (EGORA) for Time-Dependent Limit-State Function,” the ASME 2014 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 17-20, 2014, Buffalo, New York, USA.
  39. Zhang, X.*, Du, X., Wang, R., “Improvement Design for Rollover Accidents Involving Large Passenger Vehicles,” the ASME 2014 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 17-20, 2014, Buffalo, New York, USA.
  40. Hu, Z. †, Du, X.*, “A Design Oriented Reliability Methodology for Fatigue Life under Stochastic Loadings,” the ASME 2013 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 4-7, 2013, Portland, Oregon, USA.
  41. Zhang, X, Hu, Z.†, Du, X.*, “Probabilistic Inverse Simulation and Its application in Vehicle Accident Reconstruction,” the ASME 2013 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 4-7, 2013, Portland, Oregon, USA.
  42. Du, X.*, “An Envelop Approach to Time-Dependent Mechanism Reliability,” the ASME 2013 International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference, August 4-7, 2013, Portland, Oregon, USA.
  43. Hu, Z.†, Du, X.*, “Time-Dependent Reliability Analysis by A Sampling Approach to Extreme Values of Stochastic Processes,” The ASME 2012 International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE), August 12-15, 2012 in Chicago, Illinois, USA.
  44. Du, X.*, “A Reliability Approach to Inverse Simulation under Uncertainty,” The ASME 2012 International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE), August 12-15, 2012 in Chicago, Illinois, USA.
  45. Du, X.*, “Robustness Metrics for Time-Dependent Quality Characteristics,” ASME 2011 International Design Engineering Technical Conferences, August 28-31, 2011, Washington DC, USA.
  46. Du, X.*, Shah H.†, “Quantifying Model Uncertainty Using Measurement Uncertainty Standards,” ASME 2011 International Design Engineering Technical Conferences, August 28-31, 2011, Washington DC, USA.
  47. Zhang, J., Du, X.*, “Second-Order Reliability Method with First-Order Efficiency,” ASME 2010 International Design Engineering Technical Conferences, August 15-18, 2010, Montreal, Canada.
  48. Du, X.*, “General Robust Design by Semi-Second Order Taylor Expansion,” 2008 ASME International Mechanical Engineering Congress & Exposition, Boston, 2008.
  49. Du, X.*, Zhang, Y.†, “A General Approach to Robustness Assessment for Multidisciplinary Systems,” ASME 2008 International Design Engineering Technical Conferences, New York City, 2008.
  50. Wang, Z.L.†, Du, X., Huang, H.Z.*, “Reliability-Based Lifecycle Optimization with Maintenance Consideration,” ISSAT International Conference on Reliability and Quality in Design, 2008.
  51. Guo, J.†, Du, X.*, “Reliability Analysis for Multidisciplinary Systems with Random and Interval variables,” 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, and 16th AIAA/ASME/AHS Adaptive Structures, 2008.
  52. Du, X.*, “Interval Reliability Analysis,” ASME 2007 International Design Engineering Technical Conferences, Las Vegas, NV, September 4-7, 2007.
  53. Du, X.*, “Computational Methods for Product Design under Uncertainty,” International Conference on Comprehensive Product Realization 2007, Beijing, China, June 18-20, 2007.
  54. Du, X.*, “A Unified Uncertainty Analysis Framework by Probability and Evidence Theories,” ASME 2006 International Design Engineering Technical Conferences, Philadelphia, Pennsylvania, September 10-13, 2006.
  55. Du, X.*, “Reliability-Based Design Using Saddlepoint Approximation,” ASME 2006 International Design Engineering Technical Conferences, Philadelphia, Pennsylvania, September 10-13, 2006.
  56. Wang, B.P., Du, X.*, “Application of Complex Variable Method for Sensitivity Analysis in Reliability-Based Design Using First Order Method,” SAE 2005 World Congress, Detroit, MI, April 11-14, 2005.
  57. Huang, B.†, Du, X.*, “Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations,” Long Beach, California, September 24-28, 2005.
  58. Du, X.*, Sudjianto, A., “The First Order Saddlepoint Approximation for Reliability Analysis,” 10th AIAA Multidisciplinary Analysis and Optimization, Albany, New York, 30 August - 1 September 2004.
  59. Du, X.*, Sudjianto, A., “A Saddlepoint Approximation Method for Uncertainty Analysis,” ASME 2004 International Design Engineering Technical Conferences, Salt Lake City, Utah, September 28 - October 2, 2004.
  60. Du, X.*, Sudjianto, A., “Reliability-Based Design under the Mixture of Random and Interval Variables,” Chicago, Illinois, ASME 2003 International Design Engineering Technical Conferences, September 2-6, 2003.
  61. Du, X., Sudjianto, A., Chen W.*, “An Integrated framework for Optimization under Uncertainty Using Inverse Reliability Strategy,” Chicago, Illinois, ASME 2003 International Design Engineering Technical Conferences, September 2-6, 2003.
  62. Kern, D.*, Du, X., Sudjianto, A., “Forecasting Manufacturing Quality During Design Using Process Capability Data,” ASME 2003 International Mechanical Engineering Congress & Exposition, Washington, D.C., November 16-21, 2003.
  63. Hoffman, R.M.*, Sudjianto, A., Du, X., Stout J., “Robust Piston Design and Optimization Using Piston Secondary Motion Analysis,” SAE 2003 World Congress, Detroit, MI, March 3-6, 2003.
  64. Du, X., Chen, W.*, “Sequential Optimization and Reliability Assessment for Probabilistic Design,” ASME 2002 International Design Engineering Technical Conferences, Montreal, Canada, September 29 - October 2, 2002.
  65. Du, X., Chen, W.*, “Collaborative Reliability Analysis for Multidisciplinary Systems Design,” 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, Georgia, September 4-6, 2002.
  66. Du, X., Chen, W.*, “A Hierarchical Approach to Collaborative Multiobjective Robust Design,” the Fourth Congress of Structural and Multidisciplinary Optimization, Dalian, China, June 4-8, 2001.
  67. Du, X., Chen, W.*, “Concurrent Subsystem Uncertainty Analysis in Multidisciplinary Design,” the 8th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, California, Long beach, CA, September 6-8, 2000.
  68. Du, X., Wang Y., Chen, W.*, “An Investigation of Robust Multidisciplinary Optimization,” the 41st AIAA /ASME /ASCE/ AHS/ ASC Structures, Structural Dynamics, and Materials Conference, Atlanta, Georgia, April 3-6, 2000.
  69. Du, X., Chen, W.*, “An Efficient Approach to Probabilistic Uncertainty Analysis in Simulation-Based Multidisciplinary Design,” the 38th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, January 10-13, 2000.
  70. Du, X., Chen, W.*, “Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design,” ASME 1999 International Design Engineering Technical Conferences, Las Vegas, Nevada, September 12-15, 1999.
  71. Du, X., Chen, W.*, Garimella, R., “Propagation and Management of Uncertainties in Simulation-Based Collaborative Systems Design,” the 3rd World Congress of Structural and Multidisciplinary Optimization, Buffalo, New York, May 17-21, 1999.

Book Chapters

  1. Du, X., Chen, W., and Wang, Y., “Most Probable Point-Based Methods,” Amith Singhee, Rob A. Rutenbar, Extreme Statistics in Nanoscale Memory Design, Springer, 2010.
  2. Sudjianto, A., Du, X., and Chen, W., “Uniform Sampling and Saddlepoint Approximation for Probabilistic Sensitivity Analysis in Engineering Design,” J. Fan & G. Li (Eds.), Contemporary Multivariate Analysis and Experimental Designs, World Sciences Publishing, 2004.

Other Publications

  1. Li, H. †, Islam, M., Yu, H., Du, X.*, “Physics-Based Regression vs. CFD for Hagen-Poiseuille and Womersley Flows and Uncertainty Quantification,” Eleventh International Conference on Computational Fluid Dynamics, Maui, HI, USA, July 11-15, 2022.
  2. Yin, J.†, Du, X.*, “Uncertainty Quantification by Convolutional Neural Network Gaussian Process Regression with Image and Numerical Data,” AIAA SCITECH 2022 Forum, online.
  3. Yu, H. *, Zhang, Z., Yin, J.†, Donough, J., Du, X., “A 3-D Kinetic-Based Discrete Dynamic System and its Surrogate Models by Machine Learning,” 75th Annual Meeting of the Division of Fluid Dynamics, November 20–22, 2022, Indiana Convention Center, Indianapolis, Indiana.
  4. Li, H.†, Yin, H.†, Du, X.*, “Label Free Uncertainty Quantification,” AIAA SCITECH 2022 Forum, online.
  5. Zhao, J., Wei, X.†, Hu, Z., He, X., Han, D.*, Hu, Z., Du, X., “Photoelectron Sheath near the Lunar Surface: Fully Kinetic Modeling and Uncertainty Quantification Analysis,” AIAA Scitech 2020, January 6-10, 2020, Orlando, Florida, USA.
  6. Du, X., Ma, D., Cui, L.*, “Reliability Simulation of Mechanical System and Its Applications,” Proceedings of the International Symposium on Intelligence, Knowledge and Integration for Manufacturing, Nanjing, China, Southeast University Press, Nanjing, China, pp.367-371, 1995.
  7. Du, X., "Uncertainty Quantification for Machine Learning-Based Prediction: A Polynomial Chaos Expansion Approach for Joint Model and Input Uncertainty Propagation," arXiv preprint arXiv:2507.14782.
  8. Du, X., "System-Level Uncertainty Quantification with Multiple Machine Learning Models: A Theoretical Framework," arXiv preprint arXiv:2509.16663.
  9. Tootchi, A.†, Du, X.*, “Accounting for Uncertainty in Machine Learning Surrogates: A Gauss-Hermite Quadrature Approach to Reliability Analysis," arXiv preprint arXiv:2509.18128.