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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 prperties are assumed to constitute homogenous, one-dimensional stochastic fields what means that the response deflection is also stochastic field. Stochastic generalized differential quadrature method is introduced and formulated for structural analysis problems. The concept of variability response function is extended to stochastic differential quadrature method and used to compute spectral-distribution-free pper bounds of the response variability.

stochastic generalized differential quadrature; response variability; variability response function

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