Abstract
Evaluation of boundary element responses due to a small change in the system data always involves elaborate differentiation of complicated expressions associated with inverses of matrices containing elementary and special functions of mathematical physics. Such calculations 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 element package written for deterministic variables. The closed form algebraic manipulations are independent of the problem size.
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