Po-Leen Ooi M., Rajan A., Kuang Y.C., Demidenko S. Analytical Evaluation of Uncertainty Propagation for Probabilistic Design Optimisation

IOP Publishing Ltd, 2023. — 151 p. – ISBN 978-0-7503-4931-4.Аналитическая оценка распространения неопределенности для оптимизации вероятностного проектированияВ этой монографии представлены несколько недавно разработанных и примененных аналитических теоретических подходов и практических методов оценки неопределенности и вероятностной оптимизации проектирования для обеспечения устойчивости и надежности технических систем различной сложности и приложений.
This monograph introduces several recently developed and applied analytical-based theoretical approaches and practical techniques for uncertainty evaluation and probabilistic design optimisation for the robustness and reliability of technical systems of various complexity and applications. This is enhanced by the inclusion of relevant real-world case studies. The book will be useful for researchers, engineers, and designers of complex, multi-parameter technical systems that must guarantee a specified level of functional reliability. It presents several real-world case studies helping to comprehend in detail the developed techniques and their benefits. In addition, it offers free access to the online toolboxes developed by the authors to support the calculation of uncertainties and guides the readers on the practical use of such tools.1 Introduction
2 Uncertainty propagation
3 Probabilistic design optimisation
4 Moment-based standard uncertainty in design optimisation
5 Moment-based expanded uncertainty evaluation in design optimization
6 Real-world design optimisation problems: applications and usefulness
Appendix A: Lookup table for the parameters g and h in Tukey’s gh distribution
Appendix B: Lookup table for the Mellin transforms of various families of probability distribution