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Stochastic generalized differential quadrature formulation

The assumption that structures have deterministic material 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 generalized differential quadrature method is introduced and formulated for structural analysis problems. The concept of variability response function is extended to the stochastic differential quadrature method 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 generalized differential quadrature; random material and geometric properties; response variability; spectral-distribution-free upper bounds; variability response function

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