메뉴 건너뛰기




Volumn 25, Issue 3, 2010, Pages 332-347

Numerical discretization of stationary random processes

Author keywords

Discretization error estimator; EOLE; Finite elements; Karhunen Lo ve series expansion; Stationary random processes; Wavelets

Indexed keywords

ADAPTIVE PROCEDURE; ADAPTIVE REFINEMENT; ANALYTICAL EXPRESSIONS; CIVIL STRUCTURE; CLOSED-FORM EXPRESSION; COVARIANCE FUNCTION; COVARIANCE MODELS; DISCRETIZATION ERRORS; DISCRETIZATION METHOD; DISCRETIZATIONS; FINITE ELEMENT; FINITE ELEMENT MESHES; FINITE SET; GALERKIN APPROACH; ITERATIVE REFINEMENT; LINEAR ESTIMATION; NUMERICAL DISCRETIZATION; PROBABILISTIC ANALYSIS; QUANTITATIVE MEASURES; RANDOM FIELDS; RESEARCH COMMUNITIES; SERIES EXPANSION; STATIONARY RANDOM PROCESS; STRUCTURAL ENGINEERING;

EID: 77955268626     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2010.03.001     Document Type: Article
Times cited : (12)

References (33)
  • 1
    • 0015476240 scopus 로고
    • Probabilistic modeling of concrete structures
    • M. Shinozuka Probabilistic modeling of concrete structures J Engrg Mech 98 1972 1433 1451
    • (1972) J Engrg Mech , vol.98 , pp. 1433-1451
    • Shinozuka, M.1
  • 2
    • 0023844549 scopus 로고
    • Stochastic model of self-weight load
    • O. Ditlevsen Stochastic model of self-weight load J Struct Engrg 114 1988 222 230
    • (1988) J Struct Engrg , vol.114 , pp. 222-230
    • Ditlevsen, O.1
  • 3
    • 0003584694 scopus 로고    scopus 로고
    • Internet publication
    • Joint committee on structural safety. Probabilistic model code, Internet publication, www.jcss.ethz.ch ; 2001.
    • (2001) Probabilistic Model Code
  • 4
    • 0020842793 scopus 로고
    • Stochastic finite element analysis of simple beams
    • E. Vanmarcke, and M. Grigoriu Stochastic finite element analysis of simple beams J Engrg Mech 109 1983 1203 1214
    • (1983) J Engrg Mech , vol.109 , pp. 1203-1214
    • Vanmarcke, E.1    Grigoriu, M.2
  • 7
    • 0023438860 scopus 로고
    • Basis random variables in finite element analysis
    • M.A. Lawrence Basis random variables in finite element analysis Int J Numer Meth Eng 24 1987 1849 1863
    • (1987) Int J Numer Meth Eng , vol.24 , pp. 1849-1863
    • Lawrence, M.A.1
  • 8
    • 0024667228 scopus 로고
    • Stochastic finite element expansion for random media
    • P.D. Spanos, and R. Ghanem Stochastic finite element expansion for random media J Engrg Mech 115 1989 1035 1053
    • (1989) J Engrg Mech , vol.115 , pp. 1035-1053
    • Spanos, P.D.1    Ghanem, R.2
  • 9
    • 0026168849 scopus 로고
    • Practical random field discretization in stochastic finite element analysis
    • S. Mahadevan, and A. Haldar Practical random field discretization in stochastic finite element analysis Struct Saf 9 1991 283 304
    • (1991) Struct Saf , vol.9 , pp. 283-304
    • Mahadevan, S.1    Haldar, A.2
  • 11
    • 0031703398 scopus 로고    scopus 로고
    • Variability response functions for stochastic plate bending problems
    • G. Graham, and G. Deodatis Variability response functions for stochastic plate bending problems Struct Saf 20 1998 167 188
    • (1998) Struct Saf , vol.20 , pp. 167-188
    • Graham, G.1    Deodatis, G.2
  • 12
    • 0028429118 scopus 로고
    • Direct computation of the design point of a stochastic structure using a finite element code
    • G. Maymon Direct computation of the design point of a stochastic structure using a finite element code Struct Saf 14 1994 185 202
    • (1994) Struct Saf , vol.14 , pp. 185-202
    • Maymon, G.1
  • 13
    • 0035546001 scopus 로고    scopus 로고
    • Probabilistic analysis of reinforced concrete columns
    • M.J. de Araujo Probabilistic analysis of reinforced concrete columns Adv Eng Softw 32 2001 871 879
    • (2001) Adv Eng Softw , vol.32 , pp. 871-879
    • De Araujo, M.J.1
  • 14
    • 0242443247 scopus 로고    scopus 로고
    • Response variability in reinforced concrete structures with uncertain geometrical and material properties
    • M. de Vasconcellos Real, A. Campos Filho, and S.R. Maestrini Response variability in reinforced concrete structures with uncertain geometrical and material properties Nucl Eng Des 226 2003 205 220
    • (2003) Nucl Eng Des , vol.226 , pp. 205-220
    • De Vasconcellos Real, M.1    Campos Filho, A.2    Maestrini, S.R.3
  • 15
    • 4944243396 scopus 로고    scopus 로고
    • Probabilistic fiber element modeling of reinforced concrete structures
    • T.H. Lee, and K.M. Mosalam Probabilistic fiber element modeling of reinforced concrete structures Comput & Structures 82 2004 2285 2299
    • (2004) Comput & Structures , vol.82 , pp. 2285-2299
    • Lee, T.H.1    Mosalam, K.M.2
  • 16
    • 7044241335 scopus 로고    scopus 로고
    • Spatial variability of concrete deterioration and repair strategies
    • Y. Li, T. Vrouwenvelder, G.H. Wijnants, and J. Walraven Spatial variability of concrete deterioration and repair strategies Struct Concr 3 2004 121 129
    • (2004) Struct Concr , vol.3 , pp. 121-129
    • Li, Y.1    Vrouwenvelder, T.2    Wijnants, G.H.3    Walraven, J.4
  • 17
    • 33846598841 scopus 로고    scopus 로고
    • Using spatial reliability in the probabilistic study of concrete structures: The example of a RC beam subject to carbonation inducing corrosion
    • G. Defaux, M. Pendola, and B. Sudret Using spatial reliability in the probabilistic study of concrete structures: the example of a RC beam subject to carbonation inducing corrosion J Physique 136 2006 243 253
    • (2006) J Physique , vol.136 , pp. 243-253
    • Defaux, G.1    Pendola, M.2    Sudret, B.3
  • 18
    • 34249695463 scopus 로고    scopus 로고
    • Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures
    • M.G. Stewart, and J.A. Mullard Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures Eng Struct 29 2007 1457 1464
    • (2007) Eng Struct , vol.29 , pp. 1457-1464
    • Stewart, M.G.1    Mullard, J.A.2
  • 19
    • 0031333532 scopus 로고    scopus 로고
    • Uncertainties in probabilistic analysis of structures and solidsStochastic finite element
    • H.G. Matthies, C.E. Brenner, C.G. Bucher, and C. Guedes Soares Uncertainties in probabilistic analysis of structures and solidsStochastic finite element Struct Saf 19 1997 283 336
    • (1997) Struct Saf , vol.19 , pp. 283-336
    • Matthies, H.G.1    Brenner, C.E.2    Bucher, C.G.3    Guedes Soares, C.4
  • 20
    • 0041954884 scopus 로고    scopus 로고
    • Stochastic finite elements and reliability: A state-of-the-art report
    • Berkeley: University of California
    • Sudret B, Der Kiureghian A. Stochastic finite elements and reliability: a state-of-the-art report. Technical report UCB/SEMM-2000/08. Berkeley: University of California; 2000.
    • (2000) Technical Report UCB/SEMM-2000/08
    • Sudret, B.1    Der Kiureghian, A.2
  • 22
    • 0028734886 scopus 로고
    • Orthogonal series expansion of random fields in reliability analysis
    • J. Zhang, and B. Ellingwood Orthogonal series expansion of random fields in reliability analysis J Eng Mech 120 1994 2660 2677
    • (1994) J Eng Mech , vol.120 , pp. 2660-2677
    • Zhang, J.1    Ellingwood, B.2
  • 23
    • 33846341155 scopus 로고    scopus 로고
    • On using deterministic FEA software to solve problems in stochastic structural mechanics
    • S.K. Sachdeva, P.B. Nair, and A.J. Keane On using deterministic FEA software to solve problems in stochastic structural mechanics Comput & Structures 85 2007 277 290
    • (2007) Comput & Structures , vol.85 , pp. 277-290
    • Sachdeva, S.K.1    Nair, P.B.2    Keane, A.J.3
  • 25
    • 0036563629 scopus 로고    scopus 로고
    • Simulation of second order processes using Karhunen-Loève expansion
    • K.K. Phoon, S.P. Huang, and S.T. Quek Simulation of second order processes using Karhunen-Loève expansion Comput & Structures 80 2002 1049 1060
    • (2002) Comput & Structures , vol.80 , pp. 1049-1060
    • Phoon, K.K.1    Huang, S.P.2    Quek, S.T.3
  • 26
    • 58349096698 scopus 로고    scopus 로고
    • The stochastic finite element method: Past, present and future
    • G. Stefanou The stochastic finite element method: Past, present and future Comput Methods Appl Mech Engrg 198 2009 1031 1051
    • (2009) Comput Methods Appl Mech Engrg , vol.198 , pp. 1031-1051
    • Stefanou, G.1
  • 27
    • 0021407869 scopus 로고
    • Crossing of non-Gaussian translation processes
    • M. Grigoriu Crossing of non-Gaussian translation processes J Engrg Mech 110 1984 610 620
    • (1984) J Engrg Mech , vol.110 , pp. 610-620
    • Grigoriu, M.1
  • 28
    • 0003113147 scopus 로고    scopus 로고
    • Simulation of stationary non-Gaussian translation processes
    • M. Grigoriu Simulation of stationary non-Gaussian translation processes J Engrg Mech 124 1998 121 126
    • (1998) J Engrg Mech , vol.124 , pp. 121-126
    • Grigoriu, M.1
  • 29
    • 0027608710 scopus 로고
    • Optimal discretization of random fields
    • C. Li, and A. Der Kiureghian Optimal discretization of random fields J Engrg Mech 119 1993 1136 1154
    • (1993) J Engrg Mech , vol.119 , pp. 1136-1154
    • Li, C.1    Der Kiureghian, A.2
  • 30
    • 0035976363 scopus 로고    scopus 로고
    • Convergence study of the truncated Karhunen-Loève expansion for simulation of stochastic processes
    • S.P. Huang, S.T. Quek, and K.K. Phoon Convergence study of the truncated Karhunen-Loève expansion for simulation of stochastic processes Int J Numer Meth Engng 52 2001 1029 1043
    • (2001) Int J Numer Meth Engng , vol.52 , pp. 1029-1043
    • Huang, S.P.1    Quek, S.T.2    Phoon, K.K.3
  • 32
    • 0036639976 scopus 로고    scopus 로고
    • Implementation of Karhunen-Loève expansion for simulation using a waveletGalerkin scheme
    • K.K. Phoon, S.P. Huang, and S.T. Quek Implementation of Karhunen-Loève expansion for simulation using a waveletGalerkin scheme Prob Eng Mech 17 2002 293 303
    • (2002) Prob Eng Mech , vol.17 , pp. 293-303
    • Phoon, K.K.1    Huang, S.P.2    Quek, S.T.3
  • 33
    • 33947629233 scopus 로고    scopus 로고
    • Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields
    • G. Stefanou, and M. Papadrakakis Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields Comput Methods Appl Mech Engrg 196 2007 2465 2477
    • (2007) Comput Methods Appl Mech Engrg , vol.196 , pp. 2465-2477
    • Stefanou, G.1    Papadrakakis, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.