Boundary Element Methods (BEM) are naturally suited for a wide field of engineering problems, especially those of a semi-infinite nature, for example, soil-structure interactions in earthquake or machine foundation problems. The required input parameters, dynamic loads, and system properties for the BEM are not, in general, very well defined and can be considered as random variables. Analysis methods for Probabilistic Finite Elements have been studied by many workers.1 To the best knowledge of the authors, no such method is available for analysis of (Probabilistic) BEM and their uncertain input and/or system properties. In this work, we illustrate the usefulness of the probabilistic approach for engineering applications by using perturbation expansions to solve problems in soil modelling and structural analysis. In addition, the advantages of the probabilistic viewpoint are discussed with regard to current engineering practices. The importance of confidence estimates for criteria of non-exceedance response is emphasized.
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Applied Mathematics
- confidence estimates
- perturbation expansion