1 |
Astill, C.J., Noisseir, S.B. and Shinozuka, M. (1972), "Impact loading on structures with random properties", J. Struct. Mech., 1, 63-67.
DOI
ScienceOn
|
2 |
Barbato, M. and Conte, J.P. (2007), "Simplified probabilistic dynamic response analysis of structural systems", Proceedings of the ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Rethymno, Crete, Greece.
|
3 |
Benaroya, H. and Rehak, M. (1988), "Finite element methods in probabilistic structural analysis: a selective review", Appl. Mech. Rev., 41, 201-213.
DOI
|
4 |
Chen, J.B. and Li, J. (2005), "Dynamic response and reliability analysis of non-linear stochastic structures", Prob. Eng. Mech., 20, 33-44.
DOI
ScienceOn
|
5 |
Benfratello, S. and Muscolino, G.A. (1998), "A perturbation approach for the response of dynamically modified structural systems", Comput. Struct., 68, 101-112.
DOI
ScienceOn
|
6 |
Chakraborty, S. and Dey, S.S. (1998), "A stochastic finite element dynamic analysis of structures with uncertain parameters", Int. J. Mech. Sci., 40, 1071-1087.
DOI
ScienceOn
|
7 |
Chen, J.B. and Li, J. (2009), "A note on the principle of preservation of probability and probability density evolution equation", Prob. Eng. Mech., 24, 51-59.
DOI
ScienceOn
|
8 |
Choi, C.K. and Noh, H.C. (2000), "Weighted integral SFEM including higher order terms", J. Eng. Mech., 126, 859-866.
DOI
ScienceOn
|
9 |
Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, McGraw-Hill, New York.
|
10 |
Contreras, H. (1980), "The stochastic finite-element methods", Comp. Struct., 12, 341-348.
DOI
ScienceOn
|
11 |
Davenport, A.G. and Larose, G.L. (1989), "The structural damping of long span bridges: an interpretation of observation", Proceedings of the Proceedings of the Canada-Japan Workshop on Bridge Aerodynamics, Ottawa, Canada.
|
12 |
Dostupov, B.G. and Pugachev, V.S. (1957), "The equation for the integral of a system of ordinary differential equations containing random parameters", Automatika i Telemekhanika, 18, 620-630.
|
13 |
Gao, W., Chen, J.J. and Ma, H.B. (2003), "Dynamic response analysis of closed loop control system for intelligent truss structures based on probability", Struct. Eng. Mech., 15, 239-248.
DOI
ScienceOn
|
14 |
Ghanem, R.G. and Spanos, P.D. (1991), Stochastic Finite Elements: a Spectral Approach, Springer-Verlag, New York.
|
15 |
Gao, W., Chen, J.J., Ma, J. and Liang, Z.T. (2004), "Dynamic response analysis of stochastic frame structures under nonstationary random excitation", AIAA. J., 42, 1818-1822.
DOI
ScienceOn
|
16 |
Gao, W., Chen, J., Cui, M. and Cheng, Y. (2005), "Dynamic response analysis of linear stochastic truss structures under stationary random excitation", J. Sound Vib., 28, 311-321.
|
17 |
Gao, W., Zhang, N. and Ji, J.C. (2009), "A new method for random vibration analysis of stochastic truss structures", Finite Elem. Anal. Des., 45, 190-199.
DOI
ScienceOn
|
18 |
Iwan, W.D. and Jensen, H. (1993), "On the dynamic response of continuous systems including model uncertainty", J. Appl. Mech., 60, 484-490.
DOI
ScienceOn
|
19 |
Jensen, H. and Iwan, W.D. (1991), "Response variability in structural dynamics", Earthq. Eng. Struct. Dyn., 20, 949-959.
DOI
|
20 |
Jensen, H. and Iwan, W.D. (1992), "Response of systems with uncertain parameters to stochastic excitation", J. Eng. Mech., 118, 1012-1025.
DOI
|
21 |
Kanai, K. (1957), "Semi-empirical formula for the seismic characteristics of the ground motion", Univ. TokyoBull. Earthq. Res. Inst., 35, 309-325.
|
22 |
Kanapady, R. and Tamma, K.K. (2003), "A-scalability and an integrated computational technology and framework for non-linear structural dynamics. Part 1: Theoretical developments and parallel formulations", Int. J. Num. Meth. Eng., 58, 2265-2293.
DOI
ScienceOn
|
23 |
Kleiber, M. and Hien, H.D. (1992), The Stochastic Finite Element Method: Basic Perturbation Technique and Computer Implementation, John Wiley and Sons, NewYork.
|
24 |
Li, J. and Chen, J.B. (2005), "Dynamic response and reliability analysis of structures with uncertain parameters", Int. J. Num. Meth. Eng., 62, 289-315.
DOI
ScienceOn
|
25 |
Lin, J.H., Zhao, Y. and Zhang, Y.H. (2001), "Accurate and highly efficient algorithms for structural stationary / non-stationary random responses", Comp. Meth. Appl. Mech. Eng., 191, 103-111.
DOI
ScienceOn
|
26 |
Li, J. and Chen, J.B. (2009), Stochastic Dynamics of Structures, John Wiley and Sons, Singapore.
|
27 |
Li, J. and Liao, S.T. (2001), "Response analysis of stochastic parameter structures under non-stationary random excitation", Comp. Mech., 27, 61-68.
DOI
|
28 |
Lin, J.H., Shen, W.P. and Williams, F.W. (1997), "Accurate high-speed computation of non-stationary random structural response", Eng. Struct., 19, 586-593.
DOI
ScienceOn
|
29 |
Liu, W.K., Belytschko, T. and Mani, A. (1986), "Probabilistic finite elements for nonlinear structural dynamics", Comp. Meth. Appl. Mech. Eng., 56, 61-81.
DOI
ScienceOn
|
30 |
Liu, W.K., Besterfield, G. and Belytschko, T. (1988), "Transient probabilistic systems", Comp. Meth. Appl. Mech. Eng., 67, 27-54.
DOI
ScienceOn
|
31 |
Moler, C. and Loan, C.V. (2003), "Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later", Soc. Ind. Appl. Math. Rev., 45, 3-49.
|
32 |
Nowak, A.S. and Collins, K.R. (2000), Reliability of Structures, McGraw-Hill, Washington D.C.
|
33 |
Papadrakakis, M. and Kotsopulos, A. (1999), "Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation", Comp. Meth. Appl. Mech. Eng., 168, 305-320.
DOI
ScienceOn
|
34 |
Priestley, M.B. (1965), "Evolutionary spectral and non-stationary processes", J. Royal Stat. Soc., 27, 204-237.
|
35 |
Sniady, P., Adamowski R., Kogut, G. and Zielichowski-Haber, W. (2008), "Spectral stochastic analysis of structures with uncertain parameters", Prob. Eng. Mech., 23, 76-83.
DOI
ScienceOn
|
36 |
Priestley, M.B. (1967), "Power spectral analysis of non-stationary random processes", J. Sound Vib., 6, 86-97.
DOI
ScienceOn
|
37 |
Shinozuka, M. (1972), "Monte Carlo solution of structural dynamics", Comput. Struct., 2, 855-874.
DOI
ScienceOn
|
38 |
Shioya, R. and Yagawa, G. (2005), "Large-scale parallel finite-element analysis using the internet: a performance study", Int. J. Num. Meth. Eng., 63, 218-230.
DOI
ScienceOn
|
39 |
Su, C., Huang, H., Ma, H.T. and Xu, R. (2014), "Efficient MCS for random vibration of hysteretic systems by an explicit iteration approach", Eathq. Struct., 7, 119-139.
DOI
ScienceOn
|
40 |
Su, C. and Xu, R. (2010), "Time-domain method for dynamic reliability of structural systems subjected to non-stationary random excitations", Acta Mech. Sinica, 42, 512-520. (in Chinese)
|
41 |
Su, C., Xu, R., Liu, X.L. and Liao, X.Z. (2011), "Non-stationary seismic analysis of large-span spatial structures by time-domain explicit method", J. Build. Struct., 32, 169-176. (in Chinese)
|
42 |
Sun, T.C. (1979), "A finite element method for random differential equations with random coefficients", J. Num. Ana., 16, 1019-1035.
DOI
ScienceOn
|
43 |
Szekely, G.S. and Schueller, G.I. (2001), "Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties", Comp. Meth. Appl. Mech. Eng., 191, 799-816.
DOI
ScienceOn
|
44 |
Wall, F.J. and Bucher, C.G. (1987), "Sensitivity of expected exceedance rate of SDOF-system response to statistical uncertainties of loading and system parameters", Prob. Eng. Mech., 2, 138-146.
DOI
ScienceOn
|
45 |
Wang, F.Y., Zhao, Y. and Lin, J.H. (2010), "Stochastic response analysis of structures with random properties subject to stationary random excitation", Proceedings of the Earth and Space 2010: Engineering, Science, Construction, and Operation in Challenging Environments, Honolulu, Hawaii, United States.
|
46 |
Zhao, L. and Chen, Q. (1998), "The stochastic method of weighted residuals for predicting dynamic response of random structure under stochastic excitation", Commun. Num. Meth. Eng., 14, 419-427.
DOI
|
47 |
Zhao, L. and Chen, Q. (2000), "Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation", Compos. Struct., 77, 651-657.
DOI
ScienceOn
|
48 |
Zhong, W.X. (2004), "On precise integration method", J. Comput. Appl. Math., 163, 59-78.
DOI
ScienceOn
|
49 |
Zhu, W.Q. and Wu, W.Q. (1991), "A stochastic finite element method for real eigenvalue problems", Prob. Eng. Mech., 6, 228-232.
DOI
ScienceOn
|
50 |
Bucher, C.G. and Bourgund, U. (1990), "A fast and efficient response surface approach for structural reliability problems", Struct. Saf., 7, 57-66.
DOI
ScienceOn
|
51 |
Nieuwenhof, B.V. and Coyette, J.P. (2003), "Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties", Comp. Meth. Appl. Mech. Eng., 192, 3705-3729.
DOI
ScienceOn
|