-
1
-
-
0020301816
-
The exact steady-state solution of a class of non-linear stochastic systems
-
Caughey T.F., Ma F. The exact steady-state solution of a class of non-linear stochastic systems. Int J Non-Linear Mech. 17:1982;137-142.
-
(1982)
Int J Non-Linear Mech
, vol.17
, pp. 137-142
-
-
Caughey, T.F.1
Ma, F.2
-
2
-
-
0020298518
-
An exact solution to a certain non-linear random vibration problem
-
Dimentberg M.F. An exact solution to a certain non-linear random vibration problem. Int J Non-Linear Mech. 17:1982;231-236.
-
(1982)
Int J Non-Linear Mech
, vol.17
, pp. 231-236
-
-
Dimentberg, M.F.1
-
4
-
-
0030243199
-
Exact and approximate solutions for randomly excited MDOF non-linear systems
-
Cai G.Q., Lin Y.K. Exact and approximate solutions for randomly excited MDOF non-linear systems. Int J Non-Linear Mech. 31:(5):1996;647-655.
-
(1996)
Int J Non-Linear Mech
, vol.31
, Issue.5
, pp. 647-655
-
-
Cai, G.Q.1
Lin, Y.K.2
-
6
-
-
0011967951
-
Eigenfunction expansions for randomly excited non-linear systems
-
Atkinson J.D. Eigenfunction expansions for randomly excited non-linear systems. J Sound Vib. 30:1973;153-172.
-
(1973)
J Sound Vib
, vol.30
, pp. 153-172
-
-
Atkinson, J.D.1
-
7
-
-
0018924713
-
Extension of eigenfunction-expansion solutions to a Fokker-Planck equation - II. Second order system
-
Johnson J.P., Scott R.A. Extension of eigenfunction-expansion solutions to a Fokker-Planck equation - II. Second order system. Int J Non-Linear Mech. 15:1980;41-56.
-
(1980)
Int J Non-Linear Mech
, vol.15
, pp. 41-56
-
-
Johnson, J.P.1
Scott, R.A.2
-
8
-
-
0022906983
-
Approximate eigenfunction analysis of first order non-linear systems with application to a cubic system
-
Yar I.M., Hammond J.K. Approximate eigenfunction analysis of first order non-linear systems with application to a cubic system. J Sound Vib. 111:1986;457-466.
-
(1986)
J Sound Vib
, vol.111
, pp. 457-466
-
-
Yar, I.M.1
Hammond, J.K.2
-
9
-
-
0022421364
-
A finite element method for the statistics of non-linear random vibration
-
Langley R.S. A finite element method for the statistics of non-linear random vibration. J Sound Vib. 101:1985;41-54.
-
(1985)
J Sound Vib
, vol.101
, pp. 41-54
-
-
Langley, R.S.1
-
10
-
-
0027649438
-
On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems
-
Spencer B.F., Bergman L.A. On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems. Nonlinear Dyn. 4:1993;357-372.
-
(1993)
Nonlinear Dyn
, vol.4
, pp. 357-372
-
-
Spencer, B.F.1
Bergman, L.A.2
-
11
-
-
0030108885
-
A finite-element method for analysis of a non-linear system under stochastic parametric and external excitation
-
Shiau L.-C., Wu T.-Y. A finite-element method for analysis of a non-linear system under stochastic parametric and external excitation. Int J Non-Linear Mech. 31:(2):1996;193-203.
-
(1996)
Int J Non-Linear Mech
, vol.31
, Issue.2
, pp. 193-203
-
-
Shiau, L.-C.1
Wu, T.-Y.2
-
12
-
-
0016544045
-
Approximate method for non-linear random vibration
-
Wen Y.K. Approximate method for non-linear random vibration. J Engng Div ASCE. 101:1975;389-401.
-
(1975)
J Engng Div ASCE
, vol.101
, pp. 389-401
-
-
Wen, Y.K.1
-
13
-
-
38249028432
-
Steady state solution of Fokker-Planck equation for higher dimensions
-
Soize C. Steady state solution of Fokker-Planck equation for higher dimensions. Probab Engng Mech. 3:1989;196-206.
-
(1989)
Probab Engng Mech
, vol.3
, pp. 196-206
-
-
Soize, C.1
-
14
-
-
0011936859
-
The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations
-
Liu Q., Davies H.G. The non-stationary response probability density functions of non-linearly damped oscillators subjected to white noise excitations. J Sound Vib. 139:(3):1990;425-435.
-
(1990)
J Sound Vib
, vol.139
, Issue.3
, pp. 425-435
-
-
Liu, Q.1
Davies, H.G.2
-
15
-
-
0000815897
-
Extreme-value prediction for non-linear stochastic oscillators via numerical solutions of the stationary FPK equation
-
Dunne J.F., Ghanbari M. Extreme-value prediction for non-linear stochastic oscillators via numerical solutions of the stationary FPK equation. J Sound Vib. 206:(5):1997;697-724.
-
(1997)
J Sound Vib
, vol.206
, Issue.5
, pp. 697-724
-
-
Dunne, J.F.1
Ghanbari, M.2
-
16
-
-
0031273409
-
Stationary and non-stationary probability density function for non-linear oscillators
-
Muscolino G., Ricciardi G., Vasta M. Stationary and non-stationary probability density function for non-linear oscillators. Int J Non-Linear Mech. 32:(6):1997;1051-1064.
-
(1997)
Int J Non-Linear Mech
, vol.32
, Issue.6
, pp. 1051-1064
-
-
Muscolino, G.1
Ricciardi, G.2
Vasta, M.3
-
17
-
-
0032795165
-
A consistent method for the solution to reduced FPK equation in statistical mechanics
-
Er G.-K. A consistent method for the solution to reduced FPK equation in statistical mechanics. Physica A. 262:1999;118-128.
-
(1999)
Physica A
, vol.262
, pp. 118-128
-
-
Er, G.-K.1
-
18
-
-
0033720141
-
Exponential closure method for some randomly excited non-linear systems
-
Er G.-K. Exponential closure method for some randomly excited non-linear systems. Int J Non-Linear Mech. 35:2000;69-78.
-
(2000)
Int J Non-Linear Mech
, vol.35
, pp. 69-78
-
-
Er, G.-K.1
-
19
-
-
0034158965
-
On the calculation of stationary solutions of multi-dimensional Fokker-Planck equations by orthogonal functions
-
Von Wagner U., Wedig W.V. On the calculation of stationary solutions of multi-dimensional Fokker-Planck equations by orthogonal functions. Nonlinear Dyn. 21:2000;289-306.
-
(2000)
Nonlinear Dyn
, vol.21
, pp. 289-306
-
-
Von Wagner, U.1
Wedig, W.V.2
-
24
-
-
0021290502
-
Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations
-
Wu W.F., Lin Y.K. Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations. Int J Non-Linear Mech. 19:(4):1984;349-362.
-
(1984)
Int J Non-Linear Mech
, vol.19
, Issue.4
, pp. 349-362
-
-
Wu, W.F.1
Lin, Y.K.2
-
27
-
-
38249030717
-
A new approximate solution technique for randomly excited non-linear oscillators
-
Cai G.Q., Lin Y.K. A new approximate solution technique for randomly excited non-linear oscillators. Int J Non-Linear Mech. 23:1988;409-420.
-
(1988)
Int J Non-Linear Mech
, vol.23
, pp. 409-420
-
-
Cai, G.Q.1
Lin, Y.K.2
-
28
-
-
0022563269
-
Stochastic averaging: An approximate method of solving random vibration problems
-
Roberts J.B., Spanos P.D. Stochastic averaging: an approximate method of solving random vibration problems. Int J Non-Linear Mech. 21:1986;111-134.
-
(1986)
Int J Non-Linear Mech
, vol.21
, pp. 111-134
-
-
Roberts, J.B.1
Spanos, P.D.2
-
29
-
-
0001209593
-
Multi-Gaussian closure method for randomly excited non-linear systems
-
Er G.-K. Multi-Gaussian closure method for randomly excited non-linear systems. Int J Non-Linear Mech. 33:1998;201-214.
-
(1998)
Int J Non-Linear Mech
, vol.33
, pp. 201-214
-
-
Er, G.-K.1
-
30
-
-
0000931654
-
Solution of multivariate Fokker-Planck equation by using a maximum path entropy principle
-
Jumarie G. Solution of multivariate Fokker-Planck equation by using a maximum path entropy principle. J Math Phys. 31:(10):1980;2389-2392.
-
(1980)
J Math Phys
, vol.31
, Issue.10
, pp. 2389-2392
-
-
Jumarie, G.1
-
31
-
-
0001251986
-
Maximum entropy principle and nonlinear stochastic oscillators
-
Sobczyk K., Trebicki J. Maximum entropy principle and nonlinear stochastic oscillators. Physica A. 193:1993;448-468.
-
(1993)
Physica A
, vol.193
, pp. 448-468
-
-
Sobczyk, K.1
Trebicki, J.2
-
32
-
-
0030196381
-
Maximum entropy principle and non-stationary distributions of stochastic systems
-
Trebicki J., Sobczyk K. Maximum entropy principle and non-stationary distributions of stochastic systems. Probab Engng Mech. 11:1996;169-178.
-
(1996)
Probab Engng Mech
, vol.11
, pp. 169-178
-
-
Trebicki, J.1
Sobczyk, K.2
-
33
-
-
0033528039
-
Approximate probability distributions for stochastic systems: Maximum entropy method
-
Sobczyk K., Trebicki J. Approximate probability distributions for stochastic systems: maximum entropy method. Comp Meth Appl Mech Engng. 168:1999;91-111.
-
(1999)
Comp Meth Appl Mech Engng
, vol.168
, pp. 91-111
-
-
Sobczyk, K.1
Trebicki, J.2
-
34
-
-
0029184707
-
A method for the probabilistic analysis of nonlinear systems
-
Di Paola M., Ricciardi G., Vasta M. A method for the probabilistic analysis of nonlinear systems. Probab Engng Mech. 10:1995;1-10.
-
(1995)
Probab Engng Mech
, vol.10
, pp. 1-10
-
-
Di Paola, M.1
Ricciardi, G.2
Vasta, M.3
-
35
-
-
0011969264
-
Approximate methods for stochastic analysis of nonlinear monodimensional systems under external excitations (in Italian)
-
Taormina 6-8, Luglio
-
Muscolino G. Approximate methods for stochastic analysis of nonlinear monodimensional systems under external excitations (in Italian). Meccanica Stocastica 93'. 1993;31-53. Taormina 6-8, Luglio.
-
(1993)
Meccanica Stocastica 93'
, pp. 31-53
-
-
Muscolino, G.1
-
36
-
-
84929976318
-
On a formula concerning stochastic differentials
-
Itô K. On a formula concerning stochastic differentials. Nagoya Math. 3:1951;55-65.
-
(1951)
Nagoya Math
, vol.3
, pp. 55-65
-
-
Itô, K.1
-
37
-
-
50549219257
-
On the relation between ordinary and stochastic differential equations
-
Wong E., Zakai M. On the relation between ordinary and stochastic differential equations. Int J Engng Sci. 3:1965;213-229.
-
(1965)
Int J Engng Sci
, vol.3
, pp. 213-229
-
-
Wong, E.1
Zakai, M.2
-
38
-
-
38249038498
-
Comparison of Gaussian closure technique and equivalent linearization method
-
Wu W.F. Comparison of Gaussian closure technique and equivalent linearization method. Probab Engng Mech. 2:(1):1987;2-8.
-
(1987)
Probab Engng Mech
, vol.2
, Issue.1
, pp. 2-8
-
-
Wu, W.F.1
-
39
-
-
0024621956
-
Methods and Gaussian criterion for statistical linearization of stochastic parametrically and externally excited nonlinear systems
-
Chang R.I., Young G.E. Methods and Gaussian criterion for statistical linearization of stochastic parametrically and externally excited nonlinear systems. J Appl Meth. 56:1989;179-186.
-
(1989)
J Appl Meth
, vol.56
, pp. 179-186
-
-
Chang, R.I.1
Young, G.E.2
-
40
-
-
0026943531
-
Stochastic linearization of MDOF systems under parametric excitations
-
Falsone G. Stochastic linearization of MDOF systems under parametric excitations. Int J Non-Linear Mech. 27:1992;1025-1037.
-
(1992)
Int J Non-Linear Mech
, vol.27
, pp. 1025-1037
-
-
Falsone, G.1
-
42
-
-
0018011435
-
Kronecker products and matrix calculus in system theory
-
Brewer J.W. Kronecker products and matrix calculus in system theory. Trans Circuits Syst (IEEE). 25:1978;772-781.
-
(1978)
Trans Circuits Syst (IEEE)
, vol.25
, pp. 772-781
-
-
Brewer, J.W.1
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