메뉴 건너뛰기




Volumn 85, Issue 5-6, 2007, Pages 277-290

On using deterministic FEA software to solve problems in stochastic structural mechanics

Author keywords

Deterministic FE software; Probabilistic mechanics; Projection schemes; Reduced basis methods; Stochastic finite element analysis

Indexed keywords

CODES (SYMBOLS); COMPUTER SOFTWARE; FINITE ELEMENT METHOD; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 33846341155     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2006.10.008     Document Type: Article
Times cited : (37)

References (28)
  • 2
    • 33846389347 scopus 로고    scopus 로고
    • Schueller GI, Pradlwarter HJ. COSSAN (computational stochastic structural analysis) - stand-alone toolbox, user's manual. Institute of Engineering Mechanics, Leopold-Franzens University, Innsbruck, Austria, 1996-2005.
  • 3
    • 33846370828 scopus 로고    scopus 로고
    • Liu P-L, Kiureghian AD. Optimization algorithms for structural reliability analysis. Tech. Rep. UCB/BSEM-86/09, Division of Structural Engineering and Structural Mechanics, Department of Civil Engineering, University of California, Berkeley (CA), 1989.
  • 4
    • 33846353172 scopus 로고    scopus 로고
    • Sudret T, Kiureghian AD. Finite element reliability and sensitivity methods for performance-based earthquake engineering. Tech. Rep. 2003/14, Pacific Earthquake Engineering Center, University of California, Berkeley (CA), 2004.
  • 5
    • 27744544934 scopus 로고    scopus 로고
    • Structural reliability software at University of California, Berkley
    • Kiureghian A.D., Haukaas T., and Fajimura K. Structural reliability software at University of California, Berkley. Struct Safety 2006 (2006) 44-67
    • (2006) Struct Safety , vol.2006 , pp. 44-67
    • Kiureghian, A.D.1    Haukaas, T.2    Fajimura, K.3
  • 6
    • 33846396725 scopus 로고    scopus 로고
    • Sudret B, Kiureghian AD. Stochastic finite elements and reliability: a state-of-the-art report. Tech. Rep. UCB/SEMM-2000/08, University of California, Berkeley, 2000.
  • 7
    • 27744495543 scopus 로고    scopus 로고
    • Probabilistic finite element analysis using ANSYS
    • Reh S., Beley J.-D., Mukherjee S., and Khor E.H. Probabilistic finite element analysis using ANSYS. Struct Safety 28 (2006) 17-43
    • (2006) Struct Safety , vol.28 , pp. 17-43
    • Reh, S.1    Beley, J.-D.2    Mukherjee, S.3    Khor, E.H.4
  • 8
    • 27744448700 scopus 로고    scopus 로고
    • On general purpose software in structural reliability - an overview
    • Pellissetti M.F., and Schueller G.I. On general purpose software in structural reliability - an overview. Struct Safety 28 (2006) 3-16
    • (2006) Struct Safety , vol.28 , pp. 3-16
    • Pellissetti, M.F.1    Schueller, G.I.2
  • 9
    • 33846357419 scopus 로고    scopus 로고
    • Keese A. Numerical solution of systems with stochastic uncertainties - a general purpose framework for stochastic finite elements. PhD thesis, TU Braunschweig, Germany, Fachbereich Mathematik and Informatik, 2004.
  • 10
    • 33846379170 scopus 로고    scopus 로고
    • Yongke Y. Coupling a stochastic finite element solver with ANSYS and visualization of the results. Master's thesis, Institute of scientific computing, Technische Universitat, Braunschweig, Germany, June 2003.
  • 11
    • 33846396366 scopus 로고    scopus 로고
    • Nair PB. On the theoretical foundations of stochastic reduced basis methods. AIAA Paper 2001-1677.
  • 12
    • 0036684042 scopus 로고    scopus 로고
    • Stochastic reduced basis methods
    • Nair P.B., and Keane A.J. Stochastic reduced basis methods. AIAA J 40 (2002) 1653-1664
    • (2002) AIAA J , vol.40 , pp. 1653-1664
    • Nair, P.B.1    Keane, A.J.2
  • 13
    • 33644608914 scopus 로고    scopus 로고
    • Projection schemes in stochastic finite element analysis
    • Nikolaidis E., and Ghiocel D.M. (Eds), CRC Press, Boca Raton, FL [chapter 21]
    • Nair P.B. Projection schemes in stochastic finite element analysis. In: Nikolaidis E., and Ghiocel D.M. (Eds). CRC engineering design reliability handbook (2004), CRC Press, Boca Raton, FL [chapter 21]
    • (2004) CRC engineering design reliability handbook
    • Nair, P.B.1
  • 14
    • 33644608285 scopus 로고    scopus 로고
    • Comparative study of projection schemes for stochastic finite element analysis
    • Sachdeva S.K., Nair P.B., and Keane A.J. Comparative study of projection schemes for stochastic finite element analysis. Comput Methods Appl Mech Eng 195 (2006) 2371-2392
    • (2006) Comput Methods Appl Mech Eng , vol.195 , pp. 2371-2392
    • Sachdeva, S.K.1    Nair, P.B.2    Keane, A.J.3
  • 15
    • 33644888792 scopus 로고    scopus 로고
    • Hybridization of stochastic reduced basis methods with polynomial chaos expansions
    • Sachdeva S.K., Nair P.B., and Keane A.J. Hybridization of stochastic reduced basis methods with polynomial chaos expansions. Probab Eng Mech 121 (2006) 182-192
    • (2006) Probab Eng Mech , vol.121 , pp. 182-192
    • Sachdeva, S.K.1    Nair, P.B.2    Keane, A.J.3
  • 17
    • 0035151854 scopus 로고    scopus 로고
    • Random field modeling of elastic properties using homogenization
    • Huyse L., and Maes M.A. Random field modeling of elastic properties using homogenization. J Eng Mech 127 (2001) 27-36
    • (2001) J Eng Mech , vol.127 , pp. 27-36
    • Huyse, L.1    Maes, M.A.2
  • 18
    • 0027608710 scopus 로고
    • Optimal discretization of random fields
    • Li C.C., and Kiureghian A.D. Optimal discretization of random fields. J Eng Mech, ASCE 119 (1993) 1136-1154
    • (1993) J Eng Mech, ASCE , vol.119 , pp. 1136-1154
    • Li, C.C.1    Kiureghian, A.D.2
  • 19
    • 0035976363 scopus 로고    scopus 로고
    • Convergence study of the truncated Karhunen-Loeve expansion for simulation of stochastic processes
    • Huang S.P., Quek S.T., and Phoon K.K. Convergence study of the truncated Karhunen-Loeve expansion for simulation of stochastic processes. Int J Numer Methods Eng 52 (2001) 1029-1043
    • (2001) Int J Numer Methods Eng , vol.52 , pp. 1029-1043
    • Huang, S.P.1    Quek, S.T.2    Phoon, K.K.3
  • 23
    • 3142698698 scopus 로고    scopus 로고
    • A simple mesh generator in Matlab
    • Persson P.-O., and Strang G. A simple mesh generator in Matlab. SIAM Rev 46 2 (2004) 329-345
    • (2004) SIAM Rev , vol.46 , Issue.2 , pp. 329-345
    • Persson, P.-O.1    Strang, G.2
  • 24
    • 84950426173 scopus 로고
    • Recent developments in nonparametric density estimation
    • Izenman A.J. Recent developments in nonparametric density estimation. J Am Statist Assoc 86 (1991) 205-224
    • (1991) J Am Statist Assoc , vol.86 , pp. 205-224
    • Izenman, A.J.1
  • 26
    • 33846363197 scopus 로고    scopus 로고
    • Sachdeva SK. Subspace projection schemes for stochastic finite element analysis. PhD thesis, Faculty of Engineering, Science and Mathematics, University of Southampton, UK, 2006.
  • 27
    • 13844312071 scopus 로고    scopus 로고
    • Improving the computational efficiency in finite element analysis of shells with uncertain properties
    • Papadrakakis M., and Charmpis D.C. Improving the computational efficiency in finite element analysis of shells with uncertain properties. Comput Methods Appl Mech Eng 194 (2005) 1447-1478
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 1447-1478
    • Papadrakakis, M.1    Charmpis, D.C.2
  • 28
    • 13844313894 scopus 로고
    • The stochastic finite element method in structural reliability
    • Kiureghian A.D., and Ke J.-B. The stochastic finite element method in structural reliability. Probab Eng Mech 3 2 (1988) 83-91
    • (1988) Probab Eng Mech , vol.3 , Issue.2 , pp. 83-91
    • Kiureghian, A.D.1    Ke, J.-B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.