Variability of displacements and stresses at random variable state

DOI QR Code

Noh, Hyuk Chun (Department of Civil and Environmental Engineering, Sejong University) ;
Lee, Phill Seung (Department of Ocean Systems Engineering, Korea Advanced Institute of Science and Technology) ;
Choi, Chang Koon (Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology)

Choi, C.K. and Noh, H.C. (1996), "Stochastic finite element analysis of plate structures by weighted integral method", Struct. Eng. Mech., 4(6), 703-715 https://doi.org/10.12989/sem.1996.4.6.703
Deodatis, G., Graham-Brady L. and Micaletti, R. (2003), "A hierarchy of upper bounds on the response of stochastic systems with large variation of their properties: Random variable case", Probabilist. Eng. Mech., 18, 349-363 https://doi.org/10.1016/j.probengmech.2003.08.001
Elishakoff, I. and Ren, Y.J. (1995), "Some exact solutions for the bending of beams with spatially stochastic stiffness", Int. J. Solids Struct., 32(6), 2315-2327 https://doi.org/10.1016/0020-7683(94)00257-W
Ghanem, R.G. and Spanos, P.D. (1990), "Polynomial chaos in stochastic finite elements", J. Appl. Mech., 57, 197-202 https://doi.org/10.1115/1.2888303
Lin, Y.K. (1967), Probabilistic Theory of Structural Dynamics, McGraw-Hill book Company
Noh, H.C. (2004), "A formulation for stochastic finite element analysis of plate structures with uncertain Poisson's ratio", Comput. Meth. Appl. Mech. Eng., 193(45-47), 4857-4873 https://doi.org/10.1016/j.cma.2004.05.007
Noh, H.C. (2006), "Effect of multiple uncertain material properties on statistical behavior of in-plane and plate structures", Comput. Meth. Appl. Mech. Eng., 195(19-22), 2697-2718 https://doi.org/10.1016/j.cma.2005.06.026

Plate response variability due to triple random parameters vol.15, pp.3, 2011, https://doi.org/10.1007/s12205-011-1081-4
Reliability analysis to resolve difficulty in choosing from alternative deflection models of RC beams vol.37, pp.1-2, 2013, https://doi.org/10.1016/j.ymssp.2012.06.024