Interest in the topic of structural reliability and optimal design has been rapidly growing in recent years. Besides, the field of numerical methods and artificial intelligence is experiencing a surge of new methods and the refinement of existing ones to expand opportunities to apply robust formulations to complex engineering problems. Today, more than ever, the field is receiving fresh ideas on how to face the challenges of finding a balance between cost and benefits that may lead towards the optimal design of systems. Recently, the probability density evolution method (PDEM) was proposed by Prof. Jie Li as an alternative way to obtain the stochastic and dynamic solution of the safety level of engineering systems under any kind of hazard. This work deals with the application of this powerful method to derive optimal design recommendations for large engineering systems under natural hazards. The three case studies illustrate to engineers and academic specialists how to strike a cost-effective balance in designing such systems.
Table of Contents
1. Introduction 2. Aleatory and epistemic uncertainties in engineering 3. Optimal design of structural systems 4. Calculation of Reliability applying PDEM 5. Application examples 6. Analysis of results 7. Conclusions and recommendations
David De Leon Escobedo is Professor at UAEM, Mexico. He is Associate editor of the Structure and Infrastructure Engineering Journal and author of more than 30 papers on this topic
Alfredo H-S Ang (https://grainger.illinois.edu/alumni/distinguished/9284) is Emeritus professor at the University of Illinois-Urbana Champaign and University of California, Irvine. He is a member of the National Academy of Engineering, and author of several books and more than 300 technical papers in this field. He is the recipient of many professional awards in the field.
Wenliang Fan is a professor at Chongqing University, Chongqing, China, and author of 15 research works on the topic.