TY  - BOOK
AU  - Ooi,Melanie Po-Leen
AU  - Rajan,Arvind
AU  - Kuang,Ye Chow
AU  - Demidenko,Serge
ED  - Institute of Physics (Great Britain),
TI  - Analytical evaluation of uncertainty propagation for probabilistic design optimisation
T2  - [IOP release $release]
SN  - 9780750349314
AV  - QA76.9.S88 O663 2023eb
PY  - 2023///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - System design
KW  - Mathematical optimization
KW  - Optimization
KW  - bicssc
KW  - MATHEMATICS / Optimization
KW  - bisacsh
N1  - "Version: 202306"--Title page verso; Includes bibliographical references; 1. Introduction -- 2. Uncertainty propagation -- 2.1. Averaging methods for estimating the measurand in nonlinear models -- 2.2. First-order linearisation and the normality assumption -- 2.3. The Monte Carlo method -- 2.4. The use of a mathematical representation of the probability density function -- 2.5. Uncertainty evaluation using moments -- 2.6. Summary; 3. Probabilistic design optimisation -- 3.1. Robust design optimisation -- 3.2. Reliability-based design optimisation -- 3.3. Reliability-based robust design optimisation -- 3.4. Summary; 4. Moment-based standard uncertainty in design optimisation -- 4.1. The derivation of the analytical moments of multivariate polynomials -- 4.2. A toolbox for moment-based standard uncertainty evaluation -- 4.3. Case studies for moment-based analytical standard uncertainty evaluation -- 4.4. A general framework for analytical moment-based reliability and robustness analysis -- 4.5. Summary; 5. Moment-based expanded uncertainty evaluation in design optimization -- 5.1. The improved moment-constrained maximum entropy method -- 5.2. Test distributions for benchmarking and performance analysis -- 5.3. Reliability analysis of parametric distribution-fitting techniques : from unimodal to multimodal distributions -- 5.4. A toolbox for the MaxEnt algorithm -- 5.5. Summary; 6. Real-world design optimisation problems : applications and usefulness -- 6.1. The framework for probabilistic design optimisation -- 6.2. Lithium-ion batteries : a reliability-based design optimisation framework -- 6.3. Vehicle design based on side-impact crashworthiness : the application of a reliability-based robust design optimisation problem -- 6.4. Fuel cells : parameter optimisation for reliable and robust operation -- 6.5. Magnetic sensor module design -- 6.6. A multistorey three-dimensional steel structure : reliability analysis and optimisation -- 6.7. Summary -- 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; Academic and commercial metrology, instrumentation and measurement research communities; Also available in print
N2  - 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
UR  - https://iopscience.iop.org/book/mono/978-0-7503-4931-4
ER  -