Why Do Probabilistic Finite Element Analysis ?

The intention of this book is to provide an introduction to performing probabilistic finite element analysis. As a short guideline, the objective is to inform the reader of the use, benefits and issues associated with performing probabilistic finite element analysis without excessive theory or mathematical detail. This book is written for an experienced engineer or project manager who is familiar with finite element analysis but unfamiliar with probabilistic finite element analysis. In very broad terms, probabilistic finite element analysis can be viewed as the combination of probability theory and finite element methods. The basic concepts underlying probability theory are presented such that the reader will understand and appreciate the challenges and benefits from undertaking a probabilistic finite element analysis. Numerous examples from various discipline areas are provided to demonstrate how probabilistic finite element analysis is performed, what types of inputs are required, what types of results are produced, and how the results can be interpreted and used in practical applications. The intention of providing a number of examples is to aid the reader in understanding the basic concepts, and hopefully inspire them to apply these concepts to their own problems.