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Flexibility-based upper bounds on the response variability of simple beams

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References

1991Weighted Integral Method. I: Stochastic Stiffness Matrix157 cited
1988Structural Response Variability II130 cited
1991Weighted Integral Method. II: Response Variability and Reliability128 cited
1987Structural Response Variability128 cited
2001Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties73 cited
1989Bounds on Response Variability of Stochastic Systems58 cited
1995Some exact solutions for the bending of beams with spatially stochastic stiffness57 cited
1998Variability response functions for stochastic plate bending problems47 cited
1994Variability Response Functions of Stochastic Plane Stress/Strain Problems44 cited

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2014Spectral representation-based neural network assisted stochastic structural mechanics31 cited
2006Analysis of mean and mean square response of general linear stochastic finite element systems30 cited
2010Variability response functions for effective material properties30 cited
2014Stochastic failure analysis of structures with softening materials25 cited
2005Response variability of stochastic frame structures using evolutionary field theory23 cited

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2005

Effect of multiple uncertain material properties on the response variability of in-plane and plate structures

23 cited

2006Monte Carlo simulation-compatible stochastic field for application to expansion-based stochastic finite element method21 cited

2011Variability response functions for stochastic systems under dynamic excitations15 cited

2006Model-free sampling14 cited

2005Response variability due to randomness in Poisson’s ratio for plane-strain and plane-stress states13 cited

2005Stochastic behavior of Mindlin plate with uncertain geometric and material parameters12 cited

2012Generalized Variability Response Functions for Beam Structures with Stochastic Parameters11 cited