This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …

Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …

Due to its renewable and nonpolluting nature, solar energy is often used in applications
such as electricity generation, thermal heating, and chemical processing. The most cost …

Reliability-based Optimization is a most appropriate and advantageous methodology for
structural design. Its main feature is that it allows determining the best design solution (with …

The structural reliability analysis is typically based on a model that describes the response,
such as maximum deformation or stress, as a function of several random variables. In …

A wide variety of uncertainty propagation methods exist in literature; however, there is a lack
of good understanding of their relative merits. In this paper, a comparative study on the …

Traditional structural uncertainty analysis is mainly based on probability models and
requires the establishment of accurate parametric probability distribution functions using …

The train-bridge system is complex and presents many random factors, including stochastic
track irregularities as well as random parameters of bridge and train. Moreover, the entire …

A primary concern in practical engineering design is ensuring high system reliability
throughout a product's lifecycle, which is subject to time-variant operating conditions and …

The high penetration level of renewable energy is thought to be one of the basic
characteristics of future smart grids. Wind power, as one of the most increasing renewable …