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Stochastic B-Spline formulation for Beams

The assumption that structures have deterministic material and geometric properties is implicitly involved in the most calculation of standard structural analysis. Material and geometric properties are assumed to constitute homogenous, one-dimensional stochastic fields which means that the response deflection is also stochastic field. The stochastic B-spline formulation is introduced and formulated for the beam bending problem. The concept of variability response function is extended to the stochastic B-spline formulation and used to compute spectral-distribution-free upper bounds of the response variability. In addition, the generalized differential quadrature procedure is described for a beam bending problem.

stochastic B-spline formulation; random material and geometric properties; response variability; spectral-distribution-free upper bounds; variability response function

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