Civil Engineering Association

Reliability-based Structural Design

This book provides readers with an understanding of the fundamentals and applications of structural reliability, stochastic finite element method, reliability analysis via stochastic expansion, and optimization under uncertainty. It examines the use of stochastic expansions, including polynomial chaos expansion and Karhunen-Loeve expansion for the reliability analysis of practical engineering problems.

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Reliability-based Structural Design

As modern structures require more critical and complex designs, the need for
accurate and efficient approaches to assess uncertainties in loads, geometry,
material properties, manufacturing processes and operational environments has
increased significantly. Reliability assessment techniques help to develop initial
guidance for robust designs. They also can be used to identify where significant
contributors of uncertainty occur in structural systems or where further research,
testing and quality control could increase the safety and efficiency of the structure.
This book provides engineers intuitive appreciation for probability theory, statistic
methods, and reliability analysis methods, including Monte Carlo Sampling, Latin
Hypercube Sampling, First and Second-order Reliability Methods, Stochastic
Finite Element Method, and Stochastic Optimization. In addition, this book
explains how to use stochastic expansions, including Polynomial Chaos Expansion
and Karhunen-Loeve Expansion, for the optimization and the reliability analysis of
practical engineering problems. Example problems are presented for demonstrating
the application of theoretical formulations using truss, beam and plate structures.
Several practical engineering applications, e.g., an uninhabited joined-wing aircraft
and a supercavitating torpedo, are also presented to demonstrate the effectiveness
of these methods on large-scale physical systems.