First order stochasticity in boundary geometry : a computer algebra BE development

摘要

Evaluation of boundary element responses due to a small change in the system data always involves elaborate differentiation of compli- cated expressions associated with inverses of matrices containing elementary and special functions of mathematical physics. Such calcula- tions are essential in reliability analysis of structural and mechanical systems, particularly in aerospace engineering. and bioengineering modeling, for which high quality solutions are necessary. In a computer algebra environment. modification of multiplication and power expansion rules is sufficient for automatic implementation of first order perturbation in an existing boundary clement package written for deterministic variables. The closed form algebraic manipulations are independent of the problem size.