A Probabilistic One-Dimensional Ground-Shock Code for Layered Nonlinear Hysteretic Materials.
ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS STRUCTURES LAB
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This report describes the conversion of the WES ONED code a deterministic one-dimensional plane wave propagation code which treats the response of layered nonlinear hysteretic media to airslap loadings into a probabilistic code using the partial derivatives method also referred to as the Taylor-series approximation method. This approach requires the execution of 2n1 deterministic calculations to establish the effects of n independent random input variables encompassed in a given problem on the output variables time histories of stress, particle velocity, and displacement. The probabilistic code then calculates the expected values of these time histories and their variances. All partial derivatives are evaluated numerically using finite-difference approximations. The merits of this probabilistic solution technique are demonstrated for an actual field explosive test and the code is evaluated against a closed-form probabilistic solution.