Abstract
Quantitative evaluation of the effect of the uncertainty is essential in various aspects of engineering problems. This paper proposes an efficient method to consider the uncertainty of boundary conditions, Spectral Stochastic Boundary Element Method (SSBEM). In SSBEM, Karhunen-Loève representation of uncertain boundary conditions and approximation of the solution in the finitely truncated homogeneous chaos enable efficient computation of problems with uncertain boundary conditions. Numerical examples including comparison with Monte Carlo Simulation reveal the applicability of SSBEM to both elasto-static and elasto-dynamic problems with uncertain boundary geometry.
