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Volumn 6, Issue 3, 2006, Pages 333-358

Stochastic post-buckling of frames using Koiter's method

Author keywords

Buckling; Perturbation; Poet buckling; Simulation; Stochastic models

Indexed keywords

APPROXIMATION THEORY; BUCKLING; COMPUTER SIMULATION; CORRELATION THEORY; MATHEMATICAL MODELS; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; STIFFNESS; STRUCTURAL LOADS;

EID: 33746819183     PISSN: 02194554     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219455406001976     Document Type: Review
Times cited : (22)

References (42)
  • 1
    • 0031122086 scopus 로고    scopus 로고
    • Postcritical imperfection-sensitive buckling and optimal bracing of large regular frames
    • Z. P. Bazant and Y. Xiang, Postcritical imperfection-sensitive buckling and optimal bracing of large regular frames, J. Struct. Eng. 123(4) (1997) 513-522.
    • (1997) J. Struct. Eng. , vol.123 , Issue.4 , pp. 513-522
    • Bazant, Z.P.1    Xiang, Y.2
  • 3
    • 0023307009 scopus 로고
    • Probabilistic analyses of reinforced concrete columns and walls in buckling
    • F. Bljuger, Probabilistic analyses of reinforced concrete columns and walls in buckling, ACI Struct. J. 84(1) (1987) 733-747.
    • (1987) ACI Struct. J. , vol.84 , Issue.1 , pp. 733-747
    • Bljuger, F.1
  • 4
    • 0043139996 scopus 로고
    • Buckling of a column with random initial displacements
    • W. E. Boyce, Buckling of a column with random initial displacements, J. Aerospace Sci. 28(4) (1961) 308-320.
    • (1961) J. Aerospace Sci. , vol.28 , Issue.4 , pp. 308-320
    • Boyce, W.E.1
  • 5
    • 0024923132 scopus 로고
    • Smooth post-buckling stresses by a modified finite element method
    • E. Byskov, Smooth post-buckling stresses by a modified finite element method, Int. J. Numer. Methods Eng. 28 (1989) 2877-2888.
    • (1989) Int. J. Numer. Methods Eng. , vol.28 , pp. 2877-2888
    • Byskov, E.1
  • 6
    • 0032017756 scopus 로고    scopus 로고
    • Perturbation approach to elastic post-buckling analysis
    • R. Casciaro, G. Garcea, G. Attanasio and F. Giordano, Perturbation approach to elastic post-buckling analysis, Comput. Struct 66(5) (1998) 585-595.
    • (1998) Comput. Struct , vol.66 , Issue.5 , pp. 585-595
    • Casciaro, R.1    Garcea, G.2    Attanasio, G.3    Giordano, F.4
  • 7
    • 84987014720 scopus 로고
    • Finite element asymptotic analysis of slender elastic structures: A simple approach
    • R. Casciaro, G. Salerno and A. D. Lanzo, Finite element asymptotic analysis of slender elastic structures: A simple approach, Int. J. Numer. Methods Eng. 35 (1992) 1397-1426.
    • (1992) Int. J. Numer. Methods Eng. , vol.35 , pp. 1397-1426
    • Casciaro, R.1    Salerno, G.2    Lanzo, A.D.3
  • 8
    • 0035581029 scopus 로고    scopus 로고
    • Simulation of highly skewed non-Gaussian stochastic processes
    • G. Deodatis and R. Micaletti, Simulation of highly skewed non-Gaussian stochastic processes, J. Eng. Mech., ASCE 127(12) (2001) 1284-1295.
    • (2001) J. Eng. Mech., ASCE , vol.127 , Issue.12 , pp. 1284-1295
    • Deodatis, G.1    Micaletti, R.2
  • 9
    • 0026204584 scopus 로고
    • Weighted integral method. II: Response variability and reliability
    • G. Deodatis and M. Shinozuka, Weighted integral method. II: Response variability and reliability, J. Eng. Mech., ASCE 117(8) (1991) 1865-1877.
    • (1991) J. Eng. Mech., ASCE , vol.117 , Issue.8 , pp. 1865-1877
    • Deodatis, G.1    Shinozuka, M.2
  • 10
    • 23044508017 scopus 로고    scopus 로고
    • Solution methods and initialization techniques in SFE analysis of structural stability
    • S. Du, B. R. Ellingwood and J. V. Cox, Solution methods and initialization techniques in SFE analysis of structural stability, Probab. Eng. Mech. 20 (2005) 179-187.
    • (2005) Probab. Eng. Mech. , vol.20 , pp. 179-187
    • Du, S.1    Ellingwood, B.R.2    Cox, J.V.3
  • 11
    • 85109058951 scopus 로고
    • Buckling of a stochastically imperfect finite column on a nonlinear elastic foundation
    • I. Elishakoff, Buckling of a stochastically imperfect finite column on a nonlinear elastic foundation, J. Appl. Mech., ASME 36(2) (1979) 233-240.
    • (1979) J. Appl. Mech., ASME , vol.36 , Issue.2 , pp. 233-240
    • Elishakoff, I.1
  • 13
    • 0023401562 scopus 로고
    • First-order second-moment analysis of the buckling of shells with random imperfections
    • I. Elishakoff, S. Van Manen, P. G. Vermeulen and J. Arbocz, First-order second-moment analysis of the buckling of shells with random imperfections, AIAA J. 25(8) (1987) 1113-1117.
    • (1987) AIAA J. , vol.25 , Issue.8 , pp. 1113-1117
    • Elishakoff, I.1    Van Manen, S.2    Vermeulen, P.G.3    Arbocz, J.4
  • 14
    • 85015495749 scopus 로고
    • The buckling of a column with random initial deflections
    • W. B. Fraser and B. Budiansky, The buckling of a column with random initial deflections, J. Appl. Mech., ASME 36(2) (1969) 233-240.
    • (1969) J. Appl. Mech., ASME , vol.36 , Issue.2 , pp. 233-240
    • Fraser, W.B.1    Budiansky, B.2
  • 15
    • 0037056188 scopus 로고    scopus 로고
    • Path-following analysis of thin-walled structures and comparison with asymptotic post-critical solutions
    • G. Garcea, G. A. Trunfio and R. Casciaro, Path-following analysis of thin-walled structures and comparison with asymptotic post-critical solutions, Int. J. Numer. Methods Eng. 55 (2002) 73-100.
    • (2002) Int. J. Numer. Methods Eng. , vol.55 , pp. 73-100
    • Garcea, G.1    Trunfio, G.A.2    Casciaro, R.3
  • 16
    • 0035204943 scopus 로고    scopus 로고
    • Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties
    • L. L. Graham and G. Deodatis, Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties, Probab. Eng. Mech. 16(1) (2001) 11-29.
    • (2001) Probab. Eng. Mech. , vol.16 , Issue.1 , pp. 11-29
    • Graham, L.L.1    Deodatis, G.2
  • 18
    • 0032094094 scopus 로고    scopus 로고
    • Simulation of correlated non-Gaussian pressure fields
    • K. Gurley and A. Kareem, Simulation of correlated non-Gaussian pressure fields, Meccanica 33(3) (1998) 309-317.
    • (1998) Meccanica , vol.33 , Issue.3 , pp. 309-317
    • Gurley, K.1    Kareem, A.2
  • 19
    • 10444284216 scopus 로고    scopus 로고
    • Sensitivity analysis of the stability problems of thin-walled structures
    • Z. Kala, Sensitivity analysis of the stability problems of thin-walled structures, J. Constr. Steel Res. 61 (2005) 415-422.
    • (2005) J. Constr. Steel Res. , vol.61 , pp. 415-422
    • Kala, Z.1
  • 20
    • 0033147309 scopus 로고    scopus 로고
    • Post-buckling analysis and imperfection sensitivity of general shells by the finite element method
    • M. Kheyrkhahan and R. Peek, Post-buckling analysis and imperfection sensitivity of general shells by the finite element method, Int. J. Solids Struct. 26 (1999) 2641-2681.
    • (1999) Int. J. Solids Struct. , vol.26 , pp. 2641-2681
    • Kheyrkhahan, M.1    Peek, R.2
  • 22
    • 0004227185 scopus 로고
    • On the stability of elastic equilibrium
    • English translation: NASA, Washington, DC
    • English translation: On the stability of elastic equilibrium, NASA Rep. No. TT-F-10833, NASA, Washington, DC (1967).
    • (1967) NASA Rep. No. TT-F-10833 , vol.TT-F-10833
  • 23
    • 0033749934 scopus 로고    scopus 로고
    • Koiter's perturbation strategy for the imperfection sensitivity analysis of thin-walled structures with residual stresses
    • A. D. Lanzo, Koiter's perturbation strategy for the imperfection sensitivity analysis of thin-walled structures with residual stresses, Thin-Walled Struct 37(1) (2000) 77-95.
    • (2000) Thin-walled Struct , vol.37 , Issue.1 , pp. 77-95
    • Lanzo, A.D.1
  • 24
    • 0030243183 scopus 로고    scopus 로고
    • Koiter's analysis of thin-walled structures by a finite element approach
    • A. D. Lanzo and G. Garcea, Koiter's analysis of thin-walled structures by a finite element approach, Int. J. Numer. Methods Eng. 39(17) (1996) 3007-3031.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , Issue.17 , pp. 3007-3031
    • Lanzo, A.D.1    Garcea, G.2
  • 25
    • 0029346237 scopus 로고
    • Asymptotic post-buckling analysis of rectangular plates by HC finite elements
    • A. D. Lanzo, G. Garcea and R. Casciaro, Asymptotic post-buckling analysis of rectangular plates by HC finite elements, Int. J. Numer. Methods Eng. 38 (1995) 2325-2345.
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 2325-2345
    • Lanzo, A.D.1    Garcea, G.2    Casciaro, R.3
  • 26
    • 0026401944 scopus 로고
    • Dynamic response and buckling failure measures for structures with bounded and random imperfections
    • H. E. Lindberg, Dynamic response and buckling failure measures for structures with bounded and random imperfections, J. Appl. Mech., ASME 58(4) (1991) 1091-1095.
    • (1991) J. Appl. Mech., ASME , vol.58 , Issue.4 , pp. 1091-1095
    • Lindberg, H.E.1
  • 27
    • 0026840089 scopus 로고
    • Buckling analysis of imperfect frames using a stochastic finite element method
    • S. C. Lin and T. Y. Kam, Buckling analysis of imperfect frames using a stochastic finite element method, Comput Struct. 42(6) (1992) 895-901.
    • (1992) Comput Struct. , vol.42 , Issue.6 , pp. 895-901
    • Lin, S.C.1    Kam, T.Y.2
  • 28
    • 0019901141 scopus 로고
    • Accurate determination of asymptotic post-buckling stresses by the finite element method
    • J. F. Olesen and E. Byskov, Accurate determination of asymptotic post-buckling stresses by the finite element method, Comput Struct 15(2) (1982) 157-163.
    • (1982) Comput Struct , vol.15 , Issue.2 , pp. 157-163
    • Olesen, J.F.1    Byskov, E.2
  • 29
    • 0028423578 scopus 로고
    • Probabilistic progressive buckling of trusses
    • S. S. Pal and C. C. Chamis, Probabilistic progressive buckling of trusses, J. Spacecr. Rockets 31(3) (1994) 466-474.
    • (1994) J. Spacecr. Rockets , vol.31 , Issue.3 , pp. 466-474
    • Pal, S.S.1    Chamis, C.C.2
  • 30
    • 0026883437 scopus 로고
    • Response variability of structures subjected to bifurcation buckling
    • G. V. Palassopoulos, Response variability of structures subjected to bifurcation buckling, J. Eng. Mech., ASCE 118(6) (1992) 1164-1183.
    • (1992) J. Eng. Mech., ASCE , vol.118 , Issue.6 , pp. 1164-1183
    • Palassopoulos, G.V.1
  • 32
    • 0029344805 scopus 로고
    • Buckling of elastic columns using convex model of uncertain springs
    • C. P. Pantelides, Buckling of elastic columns using convex model of uncertain springs, J. Eng. Mech., ASCE 121(7) (1995) 837-844.
    • (1995) J. Eng. Mech., ASCE , vol.121 , Issue.7 , pp. 837-844
    • Pantelides, C.P.1
  • 34
    • 0032097209 scopus 로고    scopus 로고
    • Direct determination of asymptotic structural postbuckling behavior by the finite element method
    • P. N. Poulsen and L. Damkilde, Direct determination of asymptotic structural postbuckling behavior by the finite element method, Int. J. Numer. Methods Eng. 42(4) (1998) 685-702.
    • (1998) Int. J. Numer. Methods Eng. , vol.42 , Issue.4 , pp. 685-702
    • Poulsen, P.N.1    Damkilde, L.2
  • 36
    • 0002730530 scopus 로고
    • Stability of structures with small imperfections
    • J. Roorda, Stability of structures with small imperfections, J. Eng. Mech. Div. 91 (1965) 87-106.
    • (1965) J. Eng. Mech. Div. , vol.91 , pp. 87-106
    • Roorda, J.1
  • 37
    • 29144432325 scopus 로고    scopus 로고
    • On lower bound solutions of compression strength of plates with random imperfections
    • Loughborough, UK
    • Z. Sadovsky, C. G. Soares and A. P. Teixeira, On lower bound solutions of compression strength of plates with random imperfections, in Proc. 4th Int. Conf. Thin- Walled Struct., Loughborough, UK (2004).
    • (2004) Proc. 4th Int. Conf. Thin-walled Struct.
    • Sadovsky, Z.1    Soares, C.G.2    Teixeira, A.P.3
  • 38
    • 0031185559 scopus 로고    scopus 로고
    • A nonlinear beam finite element for the post-buckling analysis of plane frames by Koiter's perturbation approach
    • G. Salerno and A. D. Lanzo, A nonlinear beam finite element for the post-buckling analysis of plane frames by Koiter's perturbation approach, Comput. Methods Appl. Mech. Eng. 146 (1997) 325-349.
    • (1997) Comput. Methods Appl. Mech. Eng. , vol.146 , pp. 325-349
    • Salerno, G.1    Lanzo, A.D.2
  • 39
    • 20544465142 scopus 로고    scopus 로고
    • Asymptotic-numerical method to analyze the postbuckling behavior, imperfection sensitivity, and mode interaction in frames
    • N. Silvestre and D. Camotim, Asymptotic-numerical method to analyze the postbuckling behavior, imperfection sensitivity, and mode interaction in frames, J. Struct. Eng. 131(6) (2005) 617-632.
    • (2005) J. Struct. Eng. , vol.131 , Issue.6 , pp. 617-632
    • Silvestre, N.1    Camotim, D.2
  • 40
    • 0024667228 scopus 로고
    • Stochastic finite element expansion for random media
    • P. Spanos and R. Ghanem, Stochastic finite element expansion for random media, J. Eng. Mech., ASCE 115(5) (1989) 1035-1053.
    • (1989) J. Eng. Mech., ASCE , vol.115 , Issue.5 , pp. 1035-1053
    • Spanos, P.1    Ghanem, R.2
  • 41
    • 0025376966 scopus 로고
    • Simulation of stochastic fields by statistical preconditioning
    • F. Yamazaki and M. Shinozuka, Simulation of stochastic fields by statistical preconditioning, J. Eng. Mech., ASCE 116(2) (1990) 268-287.
    • (1990) J. Eng. Mech., ASCE , vol.116 , Issue.2 , pp. 268-287
    • Yamazaki, F.1    Shinozuka, M.2
  • 42
    • 0029287850 scopus 로고
    • Effects of uncertain material properties on structural stability
    • J. Zhang and B. Ellingwood, Effects of uncertain material properties on structural stability, J. Struct. Eng., ASCE 121(4) (1995) 705-716.
    • (1995) J. Struct. Eng., ASCE , vol.121 , Issue.4 , pp. 705-716
    • Zhang, J.1    Ellingwood, B.2


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