Stochastic behavior of Mindlin plate with uncertain geometric and material parameters

Probabilistic Engineering Mechanics

Volumn 20, Issue 4, 2005, Pages 296-306

  Noh, Hyuk Chun ^a  

^a Columbia University ^*  (United States)

Author keywords

Cross correlation; Material and geometric uncertainties; Monte Carlo analysis; Response variability; Weighted integral method

Indexed keywords

ASPECT RATIO; BENDING (DEFORMATION); BOUNDARY CONDITIONS; COMPUTER SIMULATION; DYNAMIC RESPONSE; ELASTIC MODULI; INTEGRAL EQUATIONS; MONTE CARLO METHODS; PARAMETER ESTIMATION; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION; THICKNESS MEASUREMENT;

CROSS-CORRELATION; MATERIAL AND GEOMETRIC UNCERTAINTIES; MONTE CARLO ANALYSIS; RESPONSE VARIABILITY; WEIGHTED INTEGRAL METHODS;

STOCHASTIC PROGRAMMING;

EID: 25444518702     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2005.06.001     Document Type: Article

References (31)

1. C.K. Choi, and H.C. Noh Stochastic finite element analysis by using quadrilateral elements J KSCE 13 5 1993 29 37
2. C.K. Choi, and H.C. Noh Stochastic finite element analysis of plate structures by weighted integral method Struct Eng Mech 4 6 1996 703 715
3. C.K. Choi, and H.C. Noh Weighted integral SFEM including higher order terms J Eng Mech ASCE 126 8 2000 859 866
4. G. Deodatis, W. Wall, and M. Shinozuka Analysis of two-dimensional stochastic systems by the weighted integral method P.D. Spanos C.A. Brebbia Computational stochastic mechanics 1991 395 406
5. G. Falsone, and N. Impollonia A new approach for the stochastic analysis of finite element modeled structures with uncertain parameters Comput Methods Appl Mech Eng 191 2002 5067 5085
6. L. Graham, and G. Deodatis Variability response functions for stochastic plate bending problems Struct Safety 20 1998 167 188
7. L.L. Graham, and G. Deodatis Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties Prob Eng Mech 16 1 2001 11 29
8. M. Shinozuka, and G. Deodatis Response variability of stochastic finite element systems J Eng Mech ASCE 114 3 1988 499 519
9. G. Stefanou, and M. Papadrakakis Stochastic finite element analysis of shells with combined random material and geometric properties Comput Methods Appl Mech Eng 193 1-2 2004 139 160
10. W.Q. Zhu, Y.J. Ren, and W.Q. Wu Stochastic FEM, based on local averages of random vector fields J Eng Mech ASCE 118 3 1992 496 511
11. Hyuk-Chun Noh A formulation for stochastic finite element analysis of plate structures with uncertain Poisson's ratio Comput Methods Appl Mech Eng 193 45-47 2004 4857 4873
12. C.K. Choi, and H.C. Noh Stochastic analysis of shape imperfection in RC cooling tower shells J Struct Eng ASCE 126 3 2000 417 423
13. E. Vanmarcke, and M. Grigoriu Stochastic finite element analysis of simple beams J Eng Mech ASCE 109 5 1983 1203 1214
14. M.A. Lawrence Basis random variables in finite element analysis Int J Numer Methods Eng 24 1987 1848 1863
15. C.G. Butcher, and M. Shinozuka Structural response variability II J Eng Mech ASCE 114 12 1988 2035 2054
16. E. Vanmarcke Stochastic finite elements and experimental measurements Prob Eng Mech Engl 9 1 and 2 1994 103 114
17. W.K. Liu, T. Belytschko, and A. Mani Probabilistic finite elements for nonlinear structural dynamic Comput Methods Appl Mech Eng 56 1986 91 181
18. M. Manjuprasad, S. Gopalakrishnan, and K. Balaji Rao Stochastic finite element based seismic analysis of framed structures with open-storey Struct Eng Mech 15 4 2003 381 394
19. G. Deodatis, and M. Shinozuka Bounds on response variability of stochastic systems J Eng Mech ASCE 115 11 1989 2543 2563
20. G. Deodatis, L. Graham-Brady, and R. Micaletti A hierarchy of upper bounds on the response of stochastic systems with large variation of their properties: random variable case Prob Eng Mech 18 2003 349 363
21. G. Deodatis, L. Graham-Brady, and R. Micaletti A hierarchy of upper bounds on the response of stochastic systems with large variation of their properties: random field case Prob Eng Mech 18 2003 365 375
22. Papadopoulos V, Deodatis G, Papadrakakis M. Flexibility-based upper bounds on the response variability of simple beams. Comput Methods Appl Mech Eng; 2005;194(12-16):1385-404.
23. C.K. Choi, and H.C. Noh Stochastic finite element analysis with direct integration method Fourth international conference on civil engineering, Manila, Philippines, Nov. 6-8 1996 p. 522-31
24. C.S.W. To The stochastic central difference method in structural dynamics Comput Struct 23 6 1986 813 818
25. L.L. Graham, and E.F. Siragy Stochastic finite-element analysis for elastic buckling of stiffened panels J Eng Mech ASCE 127 1 2001 91 97
26. C.K. Choi, and S.H. Kim Reduced integration nonconforming modes, and their coupling in thin plate elements Comput Struct 29 1988 57 62
27. S. Sarkani, L.D. Lutes, S. Jin, and C. Chan Stochastic analysis of seismic structural response with soil-structure interaction Struct Eng Mech 8 1 1999 53 72
28. Y.K. Lin Probabilistic theory of structural dynamics 1967 McGraw-Hill
29. M. Shinozuka Monte Carlo solution of structural dynamics Comput Struct 2 1972 855 874
30. H.C. Huang Static and dynamic analyses of plates and shells 1989 Springer Beriln
31. S.P. Timoshenko, and S.W. Krieger Theory of plates and shells 1959 McGraw-Hill International