-
1
-
-
0019059202
-
The stochastic finite-element methods
-
Contreras H. The stochastic finite-element methods. Computers and Structures 1980; 12:341-348.
-
(1980)
Computers and Structures
, vol.12
, pp. 341-348
-
-
Contreras, H.1
-
2
-
-
0004721957
-
Finite element methods in probabilistic structural analysis: A selective review
-
Benaroya H, Rehak M. Finite element methods in probabilistic structural analysis: a selective review. Applied Mechanics Review 1988; 41(5):201-213.
-
(1988)
Applied Mechanics Review
, vol.41
, Issue.5
, pp. 201-213
-
-
Benaroya, H.1
Rehak, M.2
-
3
-
-
0003097075
-
Über lineare Methoden in der Wahrscheinlichkeitsrechnung. Annales Academiae Scientiarum Fennicae, Series A, I
-
Karhunen K. Über lineare Methoden in der Wahrscheinlichkeitsrechnung. Annales Academiae Scientiarum Fennicae, Series A, I. Mathematica-Physica 1947; 37:3-79.
-
(1947)
Mathematica-Physica
, vol.37
, pp. 3-79
-
-
Karhunen, K.1
-
7
-
-
30944435311
-
Evaluation of Karhunen-Loève, spectral, and sampling representations for stochastic processes
-
Grigoriu M. Evaluation of Karhunen-Loève, spectral, and sampling representations for stochastic processes. Journal of Engineering Mechanics (ASCE) 2006; 132(2):179-189.
-
(2006)
Journal of Engineering Mechanics (ASCE)
, vol.132
, Issue.2
, pp. 179-189
-
-
Grigoriu, M.1
-
9
-
-
13844307734
-
Adaptivity and sensitivity for stochastic problems
-
Spanos PD, Deodatis G (eds), Millpress: Rotterdam
-
Keese A, Matthies HG. Adaptivity and sensitivity for stochastic problems. In Computational Stochastic Mechanics, Spanos PD, Deodatis G (eds), vol. 4. Millpress: Rotterdam, 2003; 311-316.
-
(2003)
Computational Stochastic Mechanics
, vol.4
, pp. 311-316
-
-
Keese, A.1
Matthies, H.G.2
-
10
-
-
0037401886
-
Nonstationary response of large linear FE-models under stochastic loading
-
Schuëller GI, Pradlwarter HJ, Schenk CA. Nonstationary response of large linear FE-models under stochastic loading. Computers and Structures 2003; 81(8-11):937-947.
-
(2003)
Computers and Structures
, vol.81
, Issue.8-11
, pp. 937-947
-
-
Schuëller, G.I.1
Pradlwarter, H.J.2
Schenk, C.A.3
-
13
-
-
0342844513
-
Iterative solution of systems of linear equations arising in the context of stochastic finite elements
-
Pellissetti MF, Ghanem RG. Iterative solution of systems of linear equations arising in the context of stochastic finite elements. Advances in Engineering Software 2000; 31:607-616.
-
(2000)
Advances in Engineering Software
, vol.31
, pp. 607-616
-
-
Pellissetti, M.F.1
Ghanem, R.G.2
-
16
-
-
33847418400
-
Efficient solution of stochastic systems: Application to the embankment dam problem
-
Ghanem R, Saad G, Doostan A. Efficient solution of stochastic systems: application to the embankment dam problem. Structural Safety 2007; 29:238-251.
-
(2007)
Structural Safety
, vol.29
, pp. 238-251
-
-
Ghanem, R.1
Saad, G.2
Doostan, A.3
-
17
-
-
33745216714
-
Benchmark study on reliability estimation in higher dimensions of structural systems-an overview
-
Soize C, Schuëller GI (eds), Paris, France. Millpress: Rotterdam, 4-7 September
-
Schuëller GI, Pradlwarter HJ, Beck JL, Au SK, Katafygiotis LS, Ghanem R. Benchmark study on reliability estimation in higher dimensions of structural systems-an overview. In Structural Dynamics EURODYN 2005- Proceedings of the Sixth International Conference on Structural Dynamics, Soize C, Schuëller GI (eds), Paris, France. Millpress: Rotterdam, 4-7 September 2005; 717-722.
-
(2005)
Structural Dynamics EURODYN 2005- Proceedings of the Sixth International Conference on Structural Dynamics
, pp. 717-722
-
-
Schuëller, G.I.1
Pradlwarter, H.J.2
Beck, J.L.3
Au, S.K.4
Katafygiotis, L.S.5
Ghanem, R.6
-
18
-
-
0042253264
-
A finite element method for random differential equations with random coefficients
-
Sun T-C. A finite element method for random differential equations with random coefficients. SIAM Journal on Numerical Analysis 1979; 16(6):1019-1035.
-
(1979)
SIAM Journal on Numerical Analysis
, vol.16
, Issue.6
, pp. 1019-1035
-
-
Sun, T.-C.1
-
19
-
-
3042958337
-
-
Ph.D. Thesis, California Institute of Technology, Report EERL 89-2, Earthquake Engineering Research Laboratory
-
Jensen HA. Dynamic response of structures with uncertain parameters. Ph.D. Thesis, California Institute of Technology, Report EERL 89-2, Earthquake Engineering Research Laboratory, 1989.
-
(1989)
Dynamic response of structures with uncertain parameters
-
-
Jensen, H.A.1
-
21
-
-
0002643538
-
Use of different Monte Carlo sampling techniques
-
Mayer MA (ed.)
-
Kahn H. Use of different Monte Carlo sampling techniques. In Symposium on Monte Carlo Methods, Mayer MA (ed.). Wiley: New York, 1956; 146-190.
-
(1956)
Symposium on Monte Carlo Methods
, pp. 146-190
-
-
Kahn, H.1
-
27
-
-
0035930889
-
Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties
-
Szèkely GS, Schuëller GI. Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties. Computer Methods in Applied Mechanics and Engineering 2001; 191:799-816.
-
(2001)
Computer Methods in Applied Mechanics and Engineering
, vol.191
, pp. 799-816
-
-
Szèkely, G.S.1
Schuëller, G.I.2
-
28
-
-
0042129171
-
A-scalability and an integrated computational technology and framework for non-linear structural dynamics. Part 1: Theoretical developments and parallel formulations
-
Kanapady R, Tamma KK. A-scalability and an integrated computational technology and framework for non-linear structural dynamics. Part 1: theoretical developments and parallel formulations. International Journal for Numerical Methods in Engineering 2003; 58:2265-2293.
-
(2003)
International Journal for Numerical Methods in Engineering
, vol.58
, pp. 2265-2293
-
-
Kanapady, R.1
Tamma, K.K.2
-
31
-
-
0035399915
-
First excursion probabilities for linear systems by very efficient importance sampling
-
Au SK, Beck JL. First excursion probabilities for linear systems by very efficient importance sampling. Probabilistic Engineering Mechanics 2001; 16:193-207.
-
(2001)
Probabilistic Engineering Mechanics
, vol.16
, pp. 193-207
-
-
Au, S.K.1
Beck, J.L.2
-
34
-
-
4644346521
-
Reliability of structures in high dimensions, part I: Algorithms and applications
-
Koutsourelakis PS, Pradlwarter HJ, Schuëller GI. Reliability of structures in high dimensions, part I: algorithms and applications. Probabilistic Engineering Mechanics 2004; 19(4):409-417.
-
(2004)
Probabilistic Engineering Mechanics
, vol.19
, Issue.4
, pp. 409-417
-
-
Koutsourelakis, P.S.1
Pradlwarter, H.J.2
Schuëller, G.I.3
-
36
-
-
33847350815
-
Reliability analysis of linear dynamical systems using approximate representations of performance functions
-
Jensen HA, Valdebenito MA. Reliability analysis of linear dynamical systems using approximate representations of performance functions. Structural Safety 2007; 29:222-237.
-
(2007)
Structural Safety
, vol.29
, pp. 222-237
-
-
Jensen, H.A.1
Valdebenito, M.A.2
-
37
-
-
84959876035
-
An efficient algorithm for evaluation of first excursion probabilities of uncertain linear dynamical systems subjected to general gaussian dynamic loading
-
Brennan MJ, ed, Institute of Sound and Vibration, University of Southampton, Southampton, U.K., July
-
Pradlwarter HJ, Schuëller GI. An efficient algorithm for evaluation of first excursion probabilities of uncertain linear dynamical systems subjected to general gaussian dynamic loading. In Seventh European Conference on Structural Dynamics (EURODYN 2008; CD-ROM), Brennan MJ (ed.), Institute of Sound and Vibration, University of Southampton, Southampton, U.K., 7-9 July 2008.
-
(2008)
Seventh European Conference on Structural Dynamics (EURODYN 2008; CD-ROM)
, pp. 7-9
-
-
Pradlwarter, H.J.1
Schuëller, G.I.2
-
38
-
-
0035472117
-
Estimation of small failure probabilities in high dimensions by subset simulation
-
Au SK, Beck JL. Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Engineering Mechanics 2001; 16:263-277.
-
(2001)
Probabilistic Engineering Mechanics
, vol.16
, pp. 263-277
-
-
Au, S.K.1
Beck, J.L.2
-
39
-
-
5744249209
-
Equations of state calculations by fast computing machines
-
Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E. Equations of state calculations by fast computing machines. Journal of Chemical Physics 1953; 21:1087-1092.
-
(1953)
Journal of Chemical Physics
, vol.21
, pp. 1087-1092
-
-
Metropolis, N.1
Rosenbluth, A.W.2
Rosenbluth, M.N.3
Teller, A.H.4
Teller, E.5
-
40
-
-
77956890234
-
Monte Carlo sampling methods using Markov chains and their applications
-
Hastings WK. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 1970; 57:97-109.
-
(1970)
Biometrika
, vol.57
, pp. 97-109
-
-
Hastings, W.K.1
-
42
-
-
41549114113
-
Geometric insight into the challenges of solving high-dimensional reliability problems
-
Katafygiotis LS, Zuev KM. Geometric insight into the challenges of solving high-dimensional reliability problems. Probabilistic Engineering Mechanics 2008; 23:208-218.
-
(2008)
Probabilistic Engineering Mechanics
, vol.23
, pp. 208-218
-
-
Katafygiotis, L.S.1
Zuev, K.M.2
-
43
-
-
0037378390
-
Important sampling in high dimensions
-
Au SK, Beck JL. Important sampling in high dimensions. Structural Safety 2003; 25:139-163.
-
(2003)
Structural Safety
, vol.25
, pp. 139-163
-
-
Au, S.K.1
Beck, J.L.2
-
44
-
-
23844498772
-
Hybrid subset simulation method for reliability estimation of dynamical systems subject to stochastic excitation
-
Ching J, Beck JL, Au SK. Hybrid subset simulation method for reliability estimation of dynamical systems subject to stochastic excitation. Probabilistic Engineering Mechanics 2005; 20:199-214.
-
(2005)
Probabilistic Engineering Mechanics
, vol.20
, pp. 199-214
-
-
Ching, J.1
Beck, J.L.2
Au, S.K.3
-
45
-
-
33847347292
-
Application of subset simulation methods to reliability benchmark problems
-
Au SK, Ching J, Beck JL. Application of subset simulation methods to reliability benchmark problems. Structural Safety 2007; 29:183-193.
-
(2007)
Structural Safety
, vol.29
, pp. 183-193
-
-
Au, S.K.1
Ching, J.2
Beck, J.L.3
-
46
-
-
33847381973
-
Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study
-
Katafygiotis LS, Cheung SH. Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study. Structural Safety 2007; 29:194-207.
-
(2007)
Structural Safety
, vol.29
, pp. 194-207
-
-
Katafygiotis, L.S.1
Cheung, S.H.2
-
47
-
-
34147164946
-
Auxiliary domain method for solving multi-objective dynamic reliability problems for nonlinear structures
-
Katafygiotis LS, Moan T, Cheung SH. Auxiliary domain method for solving multi-objective dynamic reliability problems for nonlinear structures. Structural Engineering and Mechanics 2007; 25(3):347-363.
-
(2007)
Structural Engineering and Mechanics
, vol.25
, Issue.3
, pp. 347-363
-
-
Katafygiotis, L.S.1
Moan, T.2
Cheung, S.H.3
-
48
-
-
0004163932
-
-
3rd edn). Elsevier, Academic Press: Amsterdam, Tokyo
-
Metha ML. Random Matrices (3rd edn). Elsevier, Academic Press: Amsterdam, Tokyo, 2004.
-
(2004)
Random Matrices
-
-
Metha, M.L.1
-
49
-
-
0003497041
-
-
Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, U.S.A
-
Edelmann A. Eigenvalues and condition numbers of random matrices. Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, U.S.A., 1989.
-
(1989)
Eigenvalues and condition numbers of random matrices
-
-
Edelmann, A.1
-
50
-
-
0033737120
-
A nonparametric model of random uncertainties for reduced matrix models in structural dynamics
-
Soize C. A nonparametric model of random uncertainties for reduced matrix models in structural dynamics. Probabilistic Engineering Mechanics 2000; 15:277-294.
-
(2000)
Probabilistic Engineering Mechanics
, vol.15
, pp. 277-294
-
-
Soize, C.1
-
51
-
-
0038497874
-
Nonlinear dynamical systems with nonparametric model of random uncertainties
-
Soize C. Nonlinear dynamical systems with nonparametric model of random uncertainties. Uncertainties in Engineering Mechanics 2001; 1(1):1-38. http://www.resonance-pub.com.
-
(2001)
Uncertainties in Engineering Mechanics
, vol.1
, Issue.1
, pp. 1-38
-
-
Soize, C.1
-
52
-
-
0037644831
-
Random matrix theory and non-parametric model of random uncertainties in vibration analysis
-
Soize C. Random matrix theory and non-parametric model of random uncertainties in vibration analysis. Journal of Sound and Vibration 2003; 263:893-916.
-
(2003)
Journal of Sound and Vibration
, vol.263
, pp. 893-916
-
-
Soize, C.1
-
53
-
-
25444456701
-
A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics
-
Soize C. A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics. Journal of Sound and Vibration 2005; 288:623-652.
-
(2005)
Journal of Sound and Vibration
, vol.288
, pp. 623-652
-
-
Soize, C.1
-
54
-
-
1042265154
-
Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems
-
Chebli H, Soize C. Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems. JASA 2004; 115(2):697-705.
-
(2004)
JASA
, vol.115
, Issue.2
, pp. 697-705
-
-
Chebli, H.1
Soize, C.2
-
55
-
-
33745162582
-
Data and model uncertainties in complex aerospace engineering systems
-
Capiez-Lernout E, Pellissetti M, Pradlwarter H, Schuëller GI, Soize C. Data and model uncertainties in complex aerospace engineering systems. Journal of Sound and Vibration 2006; 295:923-938.
-
(2006)
Journal of Sound and Vibration
, vol.295
, pp. 923-938
-
-
Capiez-Lernout, E.1
Pellissetti, M.2
Pradlwarter, H.3
Schuëller, G.I.4
Soize, C.5
-
59
-
-
0035399915
-
First excursion probabilities for linear systems by very efficient importance sampling
-
Au SK, Beck JL. First excursion probabilities for linear systems by very efficient importance sampling. Probabilistic Engineering Mechanics 2001; 16:193-207.
-
(2001)
Probabilistic Engineering Mechanics
, vol.16
, pp. 193-207
-
-
Au, S.K.1
Beck, J.L.2
|