Publicado 6 números por año
ISSN Imprimir: 2152-5080
ISSN En Línea: 2152-5099
Indexed in
ERROR AND UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS IN MECHANICS COMPUTATIONAL MODELS
SINOPSIS
Multiple sources of errors and uncertainty arise in mechanics computational models and contribute to the uncertainty in the final model prediction. This paper develops a systematic error quantification methodology for computational models. Some types of errors are deterministic, and some are stochastic. Appropriate procedures are developed to either correct the model prediction for deterministic errors or to account for the stochastic errors through sampling. First, input error, discretization error in finite element analysis (FEA), surrogate model error, and output measurement error are considered. Next, uncertainty quantification error, which arises due to the use of sampling-based methods, is also investigated. Model form error is estimated based on the comparison of corrected model prediction against physical observations and after accounting for solution approximation errors, uncertainty quantification errors, and experimental errors (input and output). Both local and global sensitivity measures are investigated to estimate and rank the contribution of each source of error to the uncertainty in the final result. Two numerical examples are used to demonstrate the proposed methodology by considering mechanical stress analysis and fatigue crack growth analysis.
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Smarslok Benjamin, Culler Adam, Mahadevan Sankaran, Error Quantification and Confidence Assessment of Aerothermal Model Predictions for Hypersonic Aircraft, 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference<BR>20th AIAA/ASME/AHS Adaptive Structures Conference<BR>14th AIAA, 2012. Crossref
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Ling You, Mahadevan Sankaran, Quantitative model validation techniques: New insights, Reliability Engineering & System Safety, 111, 2013. Crossref
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Diez Matteo, He Wei, Campana Emilio F., Stern Frederick, Uncertainty quantification of Delft catamaran resistance, sinkage and trim for variable Froude number and geometry using metamodels, quadrature and Karhunen–Loève expansion, Journal of Marine Science and Technology, 19, 2, 2014. Crossref
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Wan Hua-Ping, Mao Zhu, Todd Michael D., Ren Wei-Xin, Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel, Engineering Structures, 75, 2014. Crossref
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DeCarlo Erin C., Smarslok Benjamin P., Mahadevan Sankaran, Segmented Bayesian Calibration of Multidisciplinary Models, AIAA Journal, 54, 12, 2016. Crossref
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Hale Lawrence E., Patil Mayuresh, Roy Christopher J, Aerodynamic Parameter Identification and Uncertainty Quantification for Small Unmanned Aircraft, Journal of Guidance, Control, and Dynamics, 40, 3, 2017. Crossref
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Liang Chen, Mahadevan Sankaran, Pareto surface construction for multi-objective optimization under uncertainty, Structural and Multidisciplinary Optimization, 55, 5, 2017. Crossref
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Mahadevan Sankaran, Sankararaman Shankar, Li Chenzhao, Multilevel Uncertainty Integration, in Handbook of Uncertainty Quantification, 2017. Crossref
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Nannapaneni S., Mahadevan S., Dubey A., Lechevalier D., Narayanan A., Rachuri S., Automated Uncertainty Quantification Through Information Fusion in Manufacturing Processes, Smart and Sustainable Manufacturing Systems, 1, 1, 2017. Crossref
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Hu Zhen, Mahadevan Sankaran, Ao Dan, Uncertainty aggregation and reduction in structure–material performance prediction, Computational Mechanics, 61, 1-2, 2018. Crossref
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Bae Sangjune, Kim Nam H., Jang Seung-gyo, Reliability-based design optimization under sampling uncertainty: shifting design versus shaping uncertainty, Structural and Multidisciplinary Optimization, 57, 5, 2018. Crossref
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Woo Jungyub, Shin Seung-Jun, Seo Wonchul, Meilanitasari Prita, Developing a big data analytics platform for manufacturing systems: architecture, method, and implementation, The International Journal of Advanced Manufacturing Technology, 99, 9-12, 2018. Crossref
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Nguyen Vinh-Tan, Kumar Pankaj, Leong Jason, Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification, Computation, 6, 4, 2018. Crossref
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DeCarlo Erin C., Mahadevan Sankaran, Smarslok Benjamin P., Efficient global sensitivity analysis with correlated variables, Structural and Multidisciplinary Optimization, 58, 6, 2018. Crossref
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Yan Liang, Duan Xiaojun, Liu Bowen, Xu Jin, Gaussian Processes and Polynomial Chaos Expansion for Regression Problem: Linkage via the RKHS and Comparison via the KL Divergence, Entropy, 20, 3, 2018. Crossref
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Mahadevan Sankaran, Sankararaman Shankar, Li Chenzhao, Multilevel Uncertainty Integration, in Handbook of Uncertainty Quantification, 2016. Crossref
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Liang Chen, Mahadevan Sankaran, Sankararaman Shankar, Stochastic Multidisciplinary Analysis Under Epistemic Uncertainty, Journal of Mechanical Design, 137, 2, 2015. Crossref
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Absi Ghina N., Mahadevan Sankaran, Multi-fidelity approach to dynamics model calibration, Mechanical Systems and Signal Processing, 68-69, 2016. Crossref
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Song Lu-Kai, Bai Guang-Chen, Fei Cheng-Wei, Dynamic surrogate modeling approach for probabilistic creep-fatigue life evaluation of turbine disks, Aerospace Science and Technology, 95, 2019. Crossref
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Lee Guesuk, Kim Wongon, Oh Hyunseok, Youn Byeng D., Kim Nam H., Review of statistical model calibration and validation—from the perspective of uncertainty structures, Structural and Multidisciplinary Optimization, 60, 4, 2019. Crossref
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Absi Ghina N., Mahadevan Sankaran, Input-dependence effects in dynamics model calibration, Mechanical Systems and Signal Processing, 109, 2018. Crossref
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Kim Taejin, Lee Guesuk, Youn Byeng D., Uncertainty characterization under measurement errors using maximum likelihood estimation: cantilever beam end-to-end UQ test problem, Structural and Multidisciplinary Optimization, 59, 2, 2019. Crossref
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Vohra Manav, Mahadevan Sankaran, Discovering the active subspace for efficient UQ of molecular dynamics simulations of phonon transport in silicon, International Journal of Heat and Mass Transfer, 132, 2019. Crossref
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Nannapaneni Saideep, Mahadevan Sankaran, Rachuri Sudarsan, Performance evaluation of a manufacturing process under uncertainty using Bayesian networks, Journal of Cleaner Production, 113, 2016. Crossref
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Mahadevan Sankaran, Uncertainty Quantification for Decision-Making in Engineered Systems, in Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012), 2013. Crossref
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Paudel Deepak, Hostikka Simo, Propagation of Model Uncertainty in the Stochastic Simulations of a Compartment Fire, Fire Technology, 55, 6, 2019. Crossref
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Jung Yongsu, Cho Hyunkyoo, Lee Ikjin, Reliability measure approach for confidence-based design optimization under insufficient input data, Structural and Multidisciplinary Optimization, 60, 5, 2019. Crossref
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Absi Ghina N., Mahadevan Sankaran, Calibration of System Parameters Under Model Uncertainty, in Model Validation and Uncertainty Quantification, Volume 3, 2014. Crossref
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Hombal V. K., Mahadevan S., Model Selection Among Physics-Based Models, Journal of Mechanical Design, 135, 2, 2013. Crossref
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Li Chenzhao, Mahadevan Sankaran, Relative contributions of aleatory and epistemic uncertainty sources in time series prediction, International Journal of Fatigue, 82, 2016. Crossref
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Sankararaman Shankar, Mahadevan Sankaran, Integration of model verification, validation, and calibration for uncertainty quantification in engineering systems, Reliability Engineering & System Safety, 138, 2015. Crossref
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Villanueva Diane C., Smarslok Benjamin P., Using Expected Information Gain to Design Aerothermal Model Calibration Experiments, 17th AIAA Non-Deterministic Approaches Conference, 2015. Crossref
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DeCarlo Erin C., Mahadevan Sankaran, Smarslok Benjamin P., Bayesian Calibration of Coupled Aerothermal Models Using Time-Dependent Data, 16th AIAA Non-Deterministic Approaches Conference, 2014. Crossref
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Perez Ricardo A., Smarslok Benjamin P., McNamara Jack J., Investigating Model Uncertainty in the Nonlinear Aeroelastic Response of Thin Panels, 17th AIAA Non-Deterministic Approaches Conference, 2015. Crossref
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Nili Samaun, Park Chanyoung, Kim Nam H., Haftka Raphael T., Balachandar S., Prioritizing Possible Force Models Error in Multiphase Flow Using Global Sensitivity Analysis, AIAA Journal, 59, 5, 2021. Crossref
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Nannapaneni Saideep, Mahadevan Sankaran, Model and Data Uncertainty Effects on Reliability Estimation, 17th AIAA Non-Deterministic Approaches Conference, 2015. Crossref
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Wang Yinan, Wang Kaiwen, Cai Wenjun, Yue Xiaowei, NP-ODE: Neural process aided ordinary differential equations for uncertainty quantification of finite element analysis, IISE Transactions, 2021. Crossref
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Sisson William, Mahadevan Sankaran, Smarslok Benjamin P., Optimization of Information Gain in Multifidelity High-Speed Pressure Predictions, AIAA Journal, 2021. Crossref
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Smarslok Benjamin P., Villanueva Diane C., Bartram Gregory W., Design of Multi-Level Validation Experiments for Multi-Physics Systems, 19th AIAA Non-Deterministic Approaches Conference, 2017. Crossref
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Riley Zachary B., Smarslok Benjamin, Investigation of Aerothermoelastic Model Sensitivity under Transitional Fluid Loading in High Speed Flow, 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2017. Crossref
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Meilanitasari Prita, Shin Seung-Jun, A Review of Prediction and Optimization for Sequence-Driven Scheduling in Job Shop Flexible Manufacturing Systems, Processes, 9, 8, 2021. Crossref
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Clark Daniel L., Bae Ha-rok, Forster Edwin E., Non-Deterministic Metamodeling for Correlated and Uncorrelated Random Variables, 2018 AIAA Non-Deterministic Approaches Conference, 2018. Crossref
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Mao Yunfeng, Gerisch Alf, Lang Jens, Böhm Michael C., Müller-Plathe Florian, Uncertainty Quantification Guided Parameter Selection in a Fully Coupled Molecular Dynamics-Finite Element Model of the Mechanical Behavior of Polymers, Journal of Chemical Theory and Computation, 17, 6, 2021. Crossref
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Clark Daniel L., Bae Ha-rok, Non-Deterministic Kriging Framework for Responses with Mixed Uncertainty, 19th AIAA Non-Deterministic Approaches Conference, 2017. Crossref
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DeCarlo Erin C., Mahadevan Sankaran, Smarslok Benjamin P., Sparkman Daniel M., Efficient Global Sensitivity Analysis for Time-Dependent, Multidisciplinary Models, 19th AIAA Non-Deterministic Approaches Conference, 2017. Crossref
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Gel Aytekin, Li Tingwen, Gopalan Balaji, Shahnam Mehrdad, Syamlal Madhava, Validation and Uncertainty Quantification of a Multiphase Computational Fluid Dynamics Model, Industrial & Engineering Chemistry Research, 52, 33, 2013. Crossref
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Gel A., Garg R., Tong C., Shahnam M., Guenther C., Applying uncertainty quantification to multiphase flow computational fluid dynamics, Powder Technology, 242, 2013. Crossref
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Castrillon Nicolas, Rock Avery, Zohdi Tarek I., Thermal modeling and uncertainty quantification of tool for automated garment assembly, Computational Mechanics, 70, 4, 2022. Crossref