-
1
-
-
0004245694
-
-
Dover, New York
-
Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table (1964), Dover, New York
-
(1964)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table
-
-
Abramowitz, M.1
Stegun, I.A.2
-
2
-
-
85007287114
-
Asymptotic formulas for the buckling stress of axially compressed cylinders with localized or random axisymmetric imperfection
-
Amazigo J.C., and Budiansky B. Asymptotic formulas for the buckling stress of axially compressed cylinders with localized or random axisymmetric imperfection. J. Appl. Mech. 39 (1972) 179-184
-
(1972)
J. Appl. Mech.
, vol.39
, pp. 179-184
-
-
Amazigo, J.C.1
Budiansky, B.2
-
6
-
-
0024923132
-
Smooth post-buckling stresses by a modified finite element method
-
Byskov E. Smooth post-buckling stresses by a modified finite element method. Int. J. Numer. Methods Engrg. 28 (1989) 2877-2888
-
(1989)
Int. J. Numer. Methods Engrg.
, vol.28
, pp. 2877-2888
-
-
Byskov, E.1
-
7
-
-
0000148817
-
The Orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals
-
Cameron J.R., and Martin W. The Orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals. Ann. Math. 48 (1947) 385-392
-
(1947)
Ann. Math.
, vol.48
, pp. 385-392
-
-
Cameron, J.R.1
Martin, W.2
-
8
-
-
84987014720
-
Finite element asymptotic analysis of slender elastic structures: a simple approach
-
Casciaro R., Salerno G., and Lanzo A.D. Finite element asymptotic analysis of slender elastic structures: a simple approach. Int. J. Numer. Methods Engrg. 35 (1992) 1397-1426
-
(1992)
Int. J. Numer. Methods Engrg.
, vol.35
, pp. 1397-1426
-
-
Casciaro, R.1
Salerno, G.2
Lanzo, A.D.3
-
10
-
-
23044508017
-
Solution methods and initialization techniques in SFE analysis of structural stability
-
Du S., Ellingwood B., and Cox J.V. Solution methods and initialization techniques in SFE analysis of structural stability. Probab. Engrg. Mech. 20 (2005) 179-187
-
(2005)
Probab. Engrg. Mech.
, vol.20
, pp. 179-187
-
-
Du, S.1
Ellingwood, B.2
Cox, J.V.3
-
11
-
-
85003277963
-
Buckling of a stochastically imperfect finite column on a nonlinear elastic foundation
-
Elishakoff I. Buckling of a stochastically imperfect finite column on a nonlinear elastic foundation. J. Appl. Mech., ASME 46 2 (1979) 411-416
-
(1979)
J. Appl. Mech., ASME
, vol.46
, Issue.2
, pp. 411-416
-
-
Elishakoff, I.1
-
12
-
-
0023401562
-
First-order second-moment analysis of the buckling of shells with random imperfections
-
Elishakoff I., Van Manen S., Vermeulen P.G., and Arbocz J. 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
-
13
-
-
0028207809
-
Non-linear buckling of a column with initial imperfection via stochastic and nonstochastic convex models
-
Elishakoff I., Cai G.Q., and Starnes J.H. Non-linear buckling of a column with initial imperfection via stochastic and nonstochastic convex models. Int. J. Non-Linear Mech. 29 (1994) 71-82
-
(1994)
Int. J. Non-Linear Mech.
, vol.29
, pp. 71-82
-
-
Elishakoff, I.1
Cai, G.Q.2
Starnes, J.H.3
-
14
-
-
0034325447
-
Uncertain buckling: its past, present and future
-
Elishakoff I. Uncertain buckling: its past, present and future. Int. J. Solids Struct. 37 (2000) 6869-6889
-
(2000)
Int. J. Solids Struct.
, vol.37
, pp. 6869-6889
-
-
Elishakoff, I.1
-
16
-
-
0037063656
-
A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters
-
Falsone G., and Impollonia N. A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters. Comput. Methods Appl. Mech. Engrg. 191 44 (2002) 5067-5085
-
(2002)
Comput. Methods Appl. Mech. Engrg.
, vol.191
, Issue.44
, pp. 5067-5085
-
-
Falsone, G.1
Impollonia, N.2
-
17
-
-
85015495749
-
The buckling of a column with random initial deflections
-
Frazer W.B., and Budiansky B. 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
-
-
Frazer, W.B.1
Budiansky, B.2
-
18
-
-
18844459968
-
Buckling of composite beam-columns with stochastic properties
-
Ganesan R., and Kowda V.K. Buckling of composite beam-columns with stochastic properties. J. Reinf. Plast. Compos. 24 (2005) 513-543
-
(2005)
J. Reinf. Plast. Compos.
, vol.24
, pp. 513-543
-
-
Ganesan, R.1
Kowda, V.K.2
-
19
-
-
0033528038
-
Ingredients for a general purpose stochastic Finite Element implementation
-
Ghanem R. Ingredients for a general purpose stochastic Finite Element implementation. Comput. Methods Appl. Mech. Engrg. 168 1 (1999) 19-34
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.168
, Issue.1
, pp. 19-34
-
-
Ghanem, R.1
-
21
-
-
35348964087
-
Efficient characterization of the random eigenvalue problem in a Polynomial Chaos decomposition
-
Ghanem R., and Ghosh D. Efficient characterization of the random eigenvalue problem in a Polynomial Chaos decomposition. Int. J. Numer. Methods Engrg. 72 4 (2007) 486-504
-
(2007)
Int. J. Numer. Methods Engrg.
, vol.72
, Issue.4
, pp. 486-504
-
-
Ghanem, R.1
Ghosh, D.2
-
22
-
-
27144475366
-
Analysis of eigenvalues and modal interaction of stochastic systems
-
Ghosh D., Ghanem R., and Red-Horse J. Analysis of eigenvalues and modal interaction of stochastic systems. AIAA J. 43 10 (2005) 2196-2201
-
(2005)
AIAA J.
, vol.43
, Issue.10
, pp. 2196-2201
-
-
Ghosh, D.1
Ghanem, R.2
Red-Horse, J.3
-
23
-
-
0035204943
-
Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties
-
Graham-Brady L., and Deodatis G. Response and eigenvalue analysis of stochastic finite element systems with multiple correlated material and geometric properties. Probab. Engrg. Mech. 16 (1999) 11-29
-
(1999)
Probab. Engrg. Mech.
, vol.16
, pp. 11-29
-
-
Graham-Brady, L.1
Deodatis, G.2
-
24
-
-
0035151192
-
Stochastic Finite-Element analysis for elastic buckling of stiffened panels
-
Graham-Brady L., and Siragy E.F. Stochastic Finite-Element analysis for elastic buckling of stiffened panels. J. Engrg. Mech., ASCE 127 (2001) 91-97
-
(2001)
J. Engrg. Mech., ASCE
, vol.127
, pp. 91-97
-
-
Graham-Brady, L.1
Siragy, E.F.2
-
25
-
-
67949123997
-
Analysis of post-buckling behavior of beam-column structures via stochastic Finite Elements
-
Seattle, WA
-
L. Graham-Brady, B.W. Schafer, J. Li, Analysis of post-buckling behavior of beam-column structures via stochastic Finite Elements, in: Proceedings of the 16th ASCE Engineering Mechanics Conference, Seattle, WA, 2003.
-
(2003)
Proceedings of the 16th ASCE Engineering Mechanics Conference
-
-
Graham-Brady, L.1
Schafer, B.W.2
Li, J.3
-
26
-
-
0027002259
-
Critical buckling load statistics of an uncertain column
-
Colorado, Denver, July 8-10
-
G.D. Jeong, Critical buckling load statistics of an uncertain column, in: Proceedings of the 6th Specialty Conference, Engineering Mechanics, Structural, and Geotechnical Divisions of ASCE, Colorado, Denver, July 8-10, 1992, pp. 563-566.
-
(1992)
Proceedings of the 6th Specialty Conference, Engineering Mechanics, Structural, and Geotechnical Divisions of ASCE
, pp. 563-566
-
-
Jeong, G.D.1
-
28
-
-
33746436285
-
Uncertainty propagation in CFD using Polynomial Chaos decomposition
-
Knio O.M., and Le Maitre O.P. Uncertainty propagation in CFD using Polynomial Chaos decomposition. Fluid Dyn. Res. 38 (2006) 616-640
-
(2006)
Fluid Dyn. Res.
, vol.38
, pp. 616-640
-
-
Knio, O.M.1
Le Maitre, O.P.2
-
29
-
-
0003136336
-
Elastic stability and post-buckling behavior
-
University of Wisconsin, Madison, April 30-May 2
-
W.T. Koiter, Elastic stability and post-buckling behavior, in: Proceedings of the Symposium on Nonlinear Problems, Mathematics Research Center, United States Army, University of Wisconsin, Madison, April 30-May 2, 1962, pp. 257-275.
-
(1962)
Proceedings of the Symposium on Nonlinear Problems, Mathematics Research Center, United States Army
, pp. 257-275
-
-
Koiter, W.T.1
-
30
-
-
0005280627
-
Postbuckling analysis of simple two-bar frames
-
B. Broberg et al, Eds
-
W.T. Koiter, Postbuckling analysis of simple two-bar frames, in: B. Broberg et al. (Eds.), Recent Progress in Applied Mechanics, 1967.
-
(1967)
Recent Progress in Applied Mechanics
-
-
Koiter, W.T.1
-
31
-
-
67949115000
-
-
W.T. Koiter, On the Stability of Elastic Equilibrium, NASA TT-F10, 833, 1967, also AFFDL-TR-70-25, 1970.
-
W.T. Koiter, On the Stability of Elastic Equilibrium, NASA TT-F10, 833, 1967, also AFFDL-TR-70-25, 1970.
-
-
-
-
32
-
-
0026840089
-
Buckling analysis of imperfect frames using a stochastic finite element method
-
Lin S.C., and Kam T.Y. 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
-
35
-
-
0018468345
-
A comparison of three methods for selecting values of input variables in the analysis of output from a computer Code
-
McKay M.D., Conover W.J., and Beckman R.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer Code. Technometrics 21 (1979) 239-245
-
(1979)
Technometrics
, vol.21
, pp. 239-245
-
-
McKay, M.D.1
Conover, W.J.2
Beckman, R.J.3
-
36
-
-
0030524566
-
High dimensional integration of smooth functions over cubes
-
Novak E., and Ritter K. High dimensional integration of smooth functions over cubes. Numer. Math. 75 (1996) 79-97
-
(1996)
Numer. Math.
, vol.75
, pp. 79-97
-
-
Novak, E.1
Ritter, K.2
-
37
-
-
0019901141
-
Accurate determination of asymptotic post-buckling stresses by the finite element method
-
Olesen J.F., and Byskov E. 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
-
38
-
-
34548262637
-
Stochastic Finite Element buckling analysis of laminated plates with circular cutout under uniaxial compression
-
Onkar A.K., Upadhyay C.S., and Yadav D. Stochastic Finite Element buckling analysis of laminated plates with circular cutout under uniaxial compression. J. Appl. Mech., ASME 74 (2007) 798-809
-
(2007)
J. Appl. Mech., ASME
, vol.74
, pp. 798-809
-
-
Onkar, A.K.1
Upadhyay, C.S.2
Yadav, D.3
-
39
-
-
13844310463
-
The effect of material and thickness variability on the buckling load of shells with random initial imperfections
-
Papadopoulos G.V., and Papadrakakis M. The effect of material and thickness variability on the buckling load of shells with random initial imperfections. Comput. Methods Appl. Mech. Engrg. 194 (2005) 1405-1426
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, pp. 1405-1426
-
-
Papadopoulos, G.V.1
Papadrakakis, M.2
-
40
-
-
0020013622
-
On nonlinear beam model from the point of view of computational post-buckling analysis
-
Pignataro M., Di Carlo A., and Casciaro R. On nonlinear beam model from the point of view of computational post-buckling analysis. Int. J. Solids Struct. 18 (1982) 327-347
-
(1982)
Int. J. Solids Struct.
, vol.18
, pp. 327-347
-
-
Pignataro, M.1
Di Carlo, A.2
Casciaro, R.3
-
41
-
-
0032097209
-
Direct determination of asymptotic structural post-buckling behavior by the finite element method
-
Poulsen P.N., and Damkilde L. Direct determination of asymptotic structural post-buckling behavior by the finite element method. Int. J. Numer. Methods Engrg. 42 4 (1998) 685-702
-
(1998)
Int. J. Numer. Methods Engrg.
, vol.42
, Issue.4
, pp. 685-702
-
-
Poulsen, P.N.1
Damkilde, L.2
-
42
-
-
0036640614
-
Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms
-
Puig B., Poirion F., and Soize C. Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms. Probab. Engrg. Mech. 17 3 (2002) 253-264
-
(2002)
Probab. Engrg. Mech.
, vol.17
, Issue.3
, pp. 253-264
-
-
Puig, B.1
Poirion, F.2
Soize, C.3
-
43
-
-
27144514716
-
Polynomial chaos representation of the random eigenvalue problem
-
St. Louis, MS, April 12-15
-
J. Red-Horse, R. Ghanem, Polynomial chaos representation of the random eigenvalue problem, in: Proceedings of 40th Structures, Structural Dynamics, and Materials Conference, St. Louis, MS, April 12-15, 1999.
-
(1999)
Proceedings of 40th Structures, Structural Dynamics, and Materials Conference
-
-
Red-Horse, J.1
Ghanem, R.2
-
44
-
-
0002730530
-
Stability of structures with small imperfections
-
Roorda J. Stability of structures with small imperfections. J. Engrg. Mech. 91 (1965) 87-106
-
(1965)
J. Engrg. Mech.
, vol.91
, pp. 87-106
-
-
Roorda, J.1
-
45
-
-
0042366594
-
Frame buckling: an illustration of the perturbation technique
-
Roorda J., and Chilver A.M. Frame buckling: an illustration of the perturbation technique. Int. J. Non-linear Mech. 5 (1970) 235-246
-
(1970)
Int. J. Non-linear Mech.
, vol.5
, pp. 235-246
-
-
Roorda, J.1
Chilver, A.M.2
-
46
-
-
0036532174
-
Simulation of multi-dimensional non-Gaussian non-stationary random fields
-
Sakamoto S., and Ghanem R. Simulation of multi-dimensional non-Gaussian non-stationary random fields. Probab. Engrg. Mech. 17 (2002) 167-176
-
(2002)
Probab. Engrg. Mech.
, vol.17
, pp. 167-176
-
-
Sakamoto, S.1
Ghanem, R.2
-
47
-
-
0036472444
-
Polynomial Chaos decomposition for the simulation of non-Gaussian non-stationary stochastic processes
-
Sakamoto S., and Ghanem R. Polynomial Chaos decomposition for the simulation of non-Gaussian non-stationary stochastic processes. J. Engrg. Mech. 128 (2002) 190-201
-
(2002)
J. Engrg. Mech.
, vol.128
, pp. 190-201
-
-
Sakamoto, S.1
Ghanem, R.2
-
48
-
-
0031185559
-
A nonlinear beam finite element for the post-buckling analysis of plane frames by Koiter's perturbation approach
-
Salerno G., and Lanzo A.D. A nonlinear beam finite element for the post-buckling analysis of plane frames by Koiter's perturbation approach. Comput. Methods Appl. Mech. Engrg. 146 (1997) 325-349
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.146
, pp. 325-349
-
-
Salerno, G.1
Lanzo, A.D.2
-
49
-
-
67949102805
-
FEM implementation of Koiter's asymptotic post-buckling prediction with application to stochastic post-buckling analysis
-
New York, NY
-
B.W. Schafer, L. Graham-Brady, FEM implementation of Koiter's asymptotic post-buckling prediction with application to stochastic post-buckling analysis, in: Proceedings of 15th ASCE Engineering Mechanics Conference, New York, NY, 2002.
-
(2002)
Proceedings of 15th ASCE Engineering Mechanics Conference
-
-
Schafer, B.W.1
Graham-Brady, L.2
-
50
-
-
33746819183
-
Stochastic post-buckling of frames using Koiter's method
-
Schafer B.W., and Graham-Brady L. Stochastic post-buckling of frames using Koiter's method. Int. J. Struct. Stability Dyn. 6 3 (2006) 333-358
-
(2006)
Int. J. Struct. Stability Dyn.
, vol.6
, Issue.3
, pp. 333-358
-
-
Schafer, B.W.1
Graham-Brady, L.2
-
51
-
-
34250307494
-
Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections
-
Schenk C.A., and Schueller G.I. Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections. Comput. Methods Appl. Mech. Engrg. 196 (2007) 3424-3434
-
(2007)
Comput. Methods Appl. Mech. Engrg.
, vol.196
, pp. 3424-3434
-
-
Schenk, C.A.1
Schueller, G.I.2
-
52
-
-
85003349549
-
Random eigenvalue problems in structural analysis
-
Shinozuka M., and Astill J. Random eigenvalue problems in structural analysis. AIAA J. 10 4 (1972) 456-462
-
(1972)
AIAA J.
, vol.10
, Issue.4
, pp. 456-462
-
-
Shinozuka, M.1
Astill, J.2
-
53
-
-
20544465142
-
Asymptotic-numerical method to analyze the postbuckling behavior, imperfection sensitivity, and mode interaction in frames
-
Silvestre N., and Camotim D. Asymptotic-numerical method to analyze the postbuckling behavior, imperfection sensitivity, and mode interaction in frames. J. Engrg. Mech., ASCE 131 6 (2005) 617-632
-
(2005)
J. Engrg. Mech., ASCE
, vol.131
, Issue.6
, pp. 617-632
-
-
Silvestre, N.1
Camotim, D.2
-
54
-
-
0001048297
-
Quadrature and interpolation formulas for tensor product of certain functions
-
Smolyak S.A. Quadrature and interpolation formulas for tensor product of certain functions. Dokl. Akad. Nauk SSSR 4 (1963) 240-243
-
(1963)
Dokl. Akad. Nauk SSSR
, vol.4
, pp. 240-243
-
-
Smolyak, S.A.1
-
56
-
-
67949087456
-
Evaluation of post-bifurcation behavior of structural systems with random material property using Koiters method: A spectral stochastic approach
-
Blacksburg, VA, June 3-6
-
M. Tootkaboni, L. Graham-Brady, B.W. Schafer, Evaluation of post-bifurcation behavior of structural systems with random material property using Koiters method: a spectral stochastic approach, in: Proceedings of the 18th ASCE Engineering Mechanics Division Conference, Blacksburg, VA, June 3-6, 2007.
-
(2007)
Proceedings of the 18th ASCE Engineering Mechanics Division Conference
-
-
Tootkaboni, M.1
Graham-Brady, L.2
Schafer, B.W.3
-
57
-
-
41549114634
-
A novel application of the FPM to the buckling differential equation of non-uniform beams
-
Totry E.M., Altus E., and Proskura A. A novel application of the FPM to the buckling differential equation of non-uniform beams. Probab. Engrg. Mech. 23 (2008) 339-346
-
(2008)
Probab. Engrg. Mech.
, vol.23
, pp. 339-346
-
-
Totry, E.M.1
Altus, E.2
Proskura, A.3
-
58
-
-
0000786435
-
The Homogeneous Chaos
-
Wiener N. The Homogeneous Chaos. Am. J. Math. 60 4 (1938) 897-936
-
(1938)
Am. J. Math.
, vol.60
, Issue.4
, pp. 897-936
-
-
Wiener, N.1
-
60
-
-
0037249229
-
The Wiener-Askey Polynomial Chaos for stochastic differential equations
-
Xiu D., and Karniadakis G.E. The Wiener-Askey Polynomial Chaos for stochastic differential equations. SIAM J. Sci. Comput. 24 2 (2002) 619-644
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, Issue.2
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.E.2
-
61
-
-
0029287850
-
Effects of uncertain material properties on structural stability
-
Zhang J., and Ellingwood B. Effects of uncertain material properties on structural stability. J. Struct. Engrg., ASCE 121 4 (1995) 705-716
-
(1995)
J. Struct. Engrg., ASCE
, vol.121
, Issue.4
, pp. 705-716
-
-
Zhang, J.1
Ellingwood, B.2
|