-
4
-
-
19944392685
-
The method of proper orthogonal decomposition for order reduction of mechanical systems: An overview
-
Kerschen G, Golinval J-C, Vakakis AF, Bergman LA,. The method of proper orthogonal decomposition for order reduction of mechanical systems: an overview. Nonlinear Dynamics 2005; 41 (1-3): 147 - 170.
-
(2005)
Nonlinear Dynamics
, vol.41
, Issue.1-3
, pp. 147-170
-
-
Kerschen, G.1
Golinval, J.2
Vakakis, A.F.3
Bergman, L.A.4
-
5
-
-
28844494949
-
Past, present and future of nonlinear system identification in structural dynamics
-
Kerschen G, Worden K, Vakakis AF, Golinval J-C,. Past, present and future of nonlinear system identification in structural dynamics. Mechanical Systems and Signal Processing 2005; 20 (3): 505 - 592.
-
(2005)
Mechanical Systems and Signal Processing
, vol.20
, Issue.3
, pp. 505-592
-
-
Kerschen, G.1
Worden, K.2
Vakakis, A.F.3
Golinval, J.4
-
7
-
-
0038637868
-
System identification through chaotic interrogation
-
Nichols JM, Virgin LN,. System identification through chaotic interrogation. Journal of Sound and Vibration 2003; 17 (4): 871 - 881.
-
(2003)
Journal of Sound and Vibration
, vol.17
, Issue.4
, pp. 871-881
-
-
Nichols, J.M.1
Virgin, L.N.2
-
8
-
-
0035829652
-
Parametric identification of an experimental magneto-elastic oscillator
-
Feeny BF, Yuan C-M, Cusumano JP,. Parametric identification of an experimental magneto-elastic oscillator. Journal of Sound and Vibration 2001; 247 (5): 785 - 806.
-
(2001)
Journal of Sound and Vibration
, vol.247
, Issue.5
, pp. 785-806
-
-
Feeny, B.F.1
Yuan, C.2
Cusumano, J.P.3
-
9
-
-
17444432266
-
Identification of nonlinear aeroelastic systems based on the Volterra theory: Progress and opportunities
-
Silva W,. Identification of nonlinear aeroelastic systems based on the Volterra theory: progress and opportunities. Nonlinear Dynamics 2005; 39: 25 - 62.
-
(2005)
Nonlinear Dynamics
, vol.39
, pp. 25-62
-
-
Silva, W.1
-
11
-
-
0022011031
-
Input-output parametric models for nonlinear systems. Part I. Deterministic nonlinear systems
-
Leontaritis IJ, Billings SA,. Input-output parametric models for nonlinear systems. Part I. Deterministic nonlinear systems. International Journal of Control 1985; 41: 303 - 328.
-
(1985)
International Journal of Control
, vol.41
, pp. 303-328
-
-
Leontaritis, I.J.1
Billings, S.A.2
-
12
-
-
0022011215
-
Input-output parametric models for nonlinear systems. Part II. Stochastic nonlinear systems
-
Leontaritis IJ, Billings SA,. Input-output parametric models for nonlinear systems. Part II. Stochastic nonlinear systems. International Journal of Control 1985; 41: 329 - 344.
-
(1985)
International Journal of Control
, vol.41
, pp. 329-344
-
-
Leontaritis, I.J.1
Billings, S.A.2
-
13
-
-
0000753008
-
Non-linear system vibration analysis using Hilbert transform-I. Free vibration analysis method FREEVIB
-
Feldman M,. Non-linear system vibration analysis using Hilbert transform-I. Free vibration analysis method FREEVIB. Mechanical Systems and Signal Processing 1994; 8 (2): 119 - 127.
-
(1994)
Mechanical Systems and Signal Processing
, vol.8
, Issue.2
, pp. 119-127
-
-
Feldman, M.1
-
14
-
-
0000753009
-
Non-linear system vibration analysis using Hilbert transform-II. Forced vibration analysis method FORCEVIB
-
Feldman M,. Non-linear system vibration analysis using Hilbert transform-II. Forced vibration analysis method FORCEVIB. Mechanical Systems and Signal Processing 1994; 8 (3): 309 - 318.
-
(1994)
Mechanical Systems and Signal Processing
, vol.8
, Issue.3
, pp. 309-318
-
-
Feldman, M.1
-
15
-
-
0041845015
-
Nonlinear system identification of multi-degree-of-freedom systems
-
Thothadri M, Casas RA, Moon FC, D'Andrea R, Johnson CR,. Nonlinear system identification of multi-degree-of-freedom systems. Nonlinear Dynamics 2003; 32: 307 - 322.
-
(2003)
Nonlinear Dynamics
, vol.32
, pp. 307-322
-
-
Thothadri, M.1
Casas, R.A.2
Moon, F.C.3
D'Andrea, R.4
Johnson, C.R.5
-
16
-
-
0023570828
-
Identification of nonlinear vibrating structures: Part I - Formulation
-
Masri S, Miller R, Saud A, Caughey T,. Identification of nonlinear vibrating structures. I. Formulation. Transactions of the ASME, Journal of Applied Mechanics 1987; 54 (4): 918 - 922. (Pubitemid 18544252)
-
(1987)
Journal of Applied Mechanics, Transactions ASME
, vol.54
, Issue.4
, pp. 918-922
-
-
Masri, S.F.1
Miller, R.K.2
Saud, A.F.3
Caughey, T.K.4
-
17
-
-
0023602606
-
Identification of nonlinear vibrating structures. II. Applications
-
Masri S, Miller R, Saud A, Caughey T,. Identification of nonlinear vibrating structures. II. Applications. Transactions of the ASME, Journal of Applied Mechanics 1987; 54 (4): 923 - 950.
-
(1987)
Transactions of the ASME, Journal of Applied Mechanics
, vol.54
, Issue.4
, pp. 923-950
-
-
Masri, S.1
Miller, R.2
Saud, A.3
Caughey, T.4
-
18
-
-
17444382720
-
A general data-based approach for developing reduced-order models of nonlinear MDOF systems
-
Masri SF, Caffrey JP, Caughey TK, Smyth AW, Chassiakos AG,. A general data-based approach for developing reduced-order models of nonlinear MDOF systems. Nonlinear Dynamics 2005; 39 (1): 95 - 112.
-
(2005)
Nonlinear Dynamics
, vol.39
, Issue.1
, pp. 95-112
-
-
Masri, S.F.1
Caffrey, J.P.2
Caughey, T.K.3
Smyth, A.W.4
Chassiakos, A.G.5
-
19
-
-
84950250600
-
-
Wiley Interscience: New York
-
Vakakis AF, Manevitch L, Mikhlin Y, Pilipchuk V, Zevin A,. Normal Modes and Localization in Nonlinear Systems. Wiley Interscience: New York, 1996.
-
(1996)
Normal Modes and Localization in Nonlinear Systems
-
-
Vakakis, A.F.1
Manevitch, L.2
Mikhlin, Y.3
Pilipchuk, V.4
Zevin, A.5
-
20
-
-
34547131037
-
Reduced-order models for nonlinear vibrations of circular cylindrical shells: Comparison of POD and asymptotic nonlinear normal modes methods
-
Amabili M, Touzá C,. Reduced-order models for nonlinear vibrations of circular cylindrical shells: comparison of POD and asymptotic nonlinear normal modes methods. Journal of Fluids and Structures 2007; 23 (6): 885 - 903.
-
(2007)
Journal of Fluids and Structures
, vol.23
, Issue.6
, pp. 885-903
-
-
Amabili, M.1
Touzá, C.2
-
21
-
-
2342517458
-
Hardening/softening behaviour in nonlinear oscillations of structural systems using nonlinear normal modes
-
Touzá C, Thomas O, Chaigne A,. Hardening/softening behaviour in nonlinear oscillations of structural systems using nonlinear normal modes. Journal of Sound and Vibration 2004; 273: 77 - 101.
-
(2004)
Journal of Sound and Vibration
, vol.273
, pp. 77-101
-
-
Touzá, C.1
Thomas, O.2
Chaigne, A.3
-
22
-
-
33748795371
-
Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modeling of harmonically forced structures
-
Touzá C, Amabili M,. Nonlinear normal modes for damped geometrically nonlinear systems: application to reduced-order modeling of harmonically forced structures. Journal of Sound and Vibration 2006; 298: 958 - 981.
-
(2006)
Journal of Sound and Vibration
, vol.298
, pp. 958-981
-
-
Touzá, C.1
Amabili, M.2
-
23
-
-
73549108713
-
Physics-based foundation for empirical mode decomposition: Correspondence between intrinsic mode functions and slow flows
-
Lee YS, Tsakirtzis S, Vakakis AF, Bergman LA, McFarland DM,. Physics-based foundation for empirical mode decomposition: correspondence between intrinsic mode functions and slow flows. AIAA Journal 2009; 47 (12): 2938 - 2963.
-
(2009)
AIAA Journal
, vol.47
, Issue.12
, pp. 2938-2963
-
-
Lee, Y.S.1
Tsakirtzis, S.2
Vakakis, A.F.3
Bergman, L.A.4
McFarland, D.M.5
-
24
-
-
79961023616
-
A time-domain nonlinear system identification method based on multiscale dynamic partitions
-
DOI: 10.1007/s11012-010-9327-7
-
Lee YS, Tsakirtzis S, Vakakis AF, McFarland DM, Bergman LA,. A time-domain nonlinear system identification method based on multiscale dynamic partitions. Meccanica, DOI: 10.1007/s11012-010-9327-7.
-
Meccanica
-
-
Lee, Y.S.1
Tsakirtzis, S.2
Vakakis, A.F.3
McFarland, D.M.4
Bergman, L.A.5
-
25
-
-
77950319313
-
Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers
-
Lee YS, Vakakis AF, McFarland DM, Bergman LA,. Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers. The Aeronautical Journal 2010; 114 (1152): 61 - 82.
-
(2010)
The Aeronautical Journal
, vol.114
, Issue.1152
, pp. 61-82
-
-
Lee, Y.S.1
Vakakis, A.F.2
McFarland, D.M.3
Bergman, L.A.4
-
26
-
-
77949490112
-
Modeling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment
-
Tsakirtzis S, Lee YS, Vakakis AF, Bergman LA, McFarland DM,. Modeling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment. Communications in Nonlinear Science and Numerical Simulations 2010; 15 (9): 2617 - 2633.
-
(2010)
Communications in Nonlinear Science and Numerical Simulations
, vol.15
, Issue.9
, pp. 2617-2633
-
-
Tsakirtzis, S.1
Lee, Y.S.2
Vakakis, A.F.3
Bergman, L.A.4
McFarland, D.M.5
-
27
-
-
5444236478
-
The empirical mode decompostion and the Hilbert spectrum for nonlinear and non-stationary time series analysis
-
Huang N, Shen Z, Long S, Wu M, Shih H, Zheng Q, Yen N-C, Tung C, Liu H,. The empirical mode decompostion and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society of London, Series A. Mathematical and Physical Sciences 1998; 454L: 903 - 995.
-
(1998)
Proceedings of the Royal Society of London, Series A. Mathematical and Physical Sciences
, vol.454
, pp. 903-995
-
-
Huang, N.1
Shen, Z.2
Long, S.3
Wu, M.4
Shih, H.5
Zheng, Q.6
Yen, N.7
Tung, C.8
Liu, H.9
-
28
-
-
35648939859
-
Singular perturbation methods for slow-fast dynamics
-
Verhulst F,. Singular perturbation methods for slow-fast dynamics. Nonlinear Dynamics 2007; 50: 747 - 753.
-
(2007)
Nonlinear Dynamics
, vol.50
, pp. 747-753
-
-
Verhulst, F.1
-
30
-
-
0035410003
-
The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables
-
Manevitch L,. The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Nonlinear Dynamics 2001; 25: 95 - 109.
-
(2001)
Nonlinear Dynamics
, vol.25
, pp. 95-109
-
-
Manevitch, L.1
-
31
-
-
77649337670
-
-
Springer: Berlin and New York
-
Vakakis AF, Gendelman O, Bergman LA, McFarland DM, Kerschen G, Lee YS,. Passive Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems: I and II. Springer: Berlin and New York, 2008.
-
(2008)
Passive Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems: I and Ii
-
-
Vakakis, A.F.1
Gendelman, O.2
Bergman, L.A.3
McFarland, D.M.4
Kerschen, G.5
Lee, Y.S.6
-
34
-
-
33645765956
-
Irreversible passive energy transfer in coupled oscillators with essential nonlinearity
-
Kerschen G, Lee YS, Vakakis AF, McFarland DM, Bergman LA,. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. SIAM Journal on Applied Mathematics 2006; 66 (2): 648 - 679.
-
(2006)
SIAM Journal on Applied Mathematics
, vol.66
, Issue.2
, pp. 648-679
-
-
Kerschen, G.1
Lee, Y.S.2
Vakakis, A.F.3
McFarland, D.M.4
Bergman, L.A.5
-
35
-
-
0033489494
-
A new view of nonlinear water waves: The Hilbert spectrum
-
Huang N, Shen Z, Long S,. A new view of nonlinear water waves: the Hilbert spectrum. Annual Review of Fluid Mechanics 1999; 31: 417 - 457.
-
(1999)
Annual Review of Fluid Mechanics
, vol.31
, pp. 417-457
-
-
Huang, N.1
Shen, Z.2
Long, S.3
-
36
-
-
1542357546
-
A confidence limit for the empirical mode decomposition and Hilbert spectral analysis
-
Huang N, Wu M-L, Long SR, Shen S, Qu W, Gloersen P, Fan K,. A confidence limit for the empirical mode decomposition and Hilbert spectral analysis. Proceedings of the Royal Society of London, Series A. Mathematical and Physical Sciences 2003; 459: 2317 - 2345.
-
(2003)
Proceedings of the Royal Society of London, Series A. Mathematical and Physical Sciences
, vol.459
, pp. 2317-2345
-
-
Huang, N.1
Wu, M.2
Long, S.R.3
Shen, S.4
Qu, W.5
Gloersen, P.6
Fan, K.7
-
37
-
-
80052078099
-
Ensemble empirical mode decomposition: A noise-assisted data analysis method
-
Wu Z, Huang NE,. Ensemble empirical mode decomposition: a noise-assisted data analysis method. Advances in Adaptive Data Analysis 2009; 1: 1 - 41.
-
(2009)
Advances in Adaptive Data Analysis
, vol.1
, pp. 1-41
-
-
Wu, Z.1
Huang, N.E.2
-
38
-
-
0042164209
-
System identification of linear structures based on Hilbert-Huang spectral analysis. Part 1: Normal modes
-
DOI 10.1002/eqe.287
-
Yang JN, Lei Y, Pan S, Huang N,. System identification of linear structures based on Hilbert-Huang spectral analysis. Part 1: normal modes. Earthquake Engineering and Structural Dynamics 2003; 32: 1443 - 1467. (Pubitemid 36971761)
-
(2003)
Earthquake Engineering and Structural Dynamics
, vol.32
, Issue.9
, pp. 1443-1467
-
-
Yang, J.N.1
Lei, Y.2
Pan, S.3
Huang, N.4
-
39
-
-
0043180468
-
System identification of linear structures based on Hilbert-Huang spectral analysis. Part 2: Complex modes
-
DOI 10.1002/eqe.288
-
Yang JN, Lei Y, Pan S, Huang N,. System identification of linear structures based on Hilbert-Huang spectral analysis. Part 2: complex modes. Earthquake Engineering and Structural Dynamics 2003; 32: 1533 - 1554. (Pubitemid 37050146)
-
(2003)
Earthquake Engineering and Structural Dynamics
, vol.32
, Issue.10
, pp. 1533-1554
-
-
Yang, J.N.1
Lei, Y.2
Pan, S.3
Huang, N.4
-
40
-
-
34548587271
-
Nonlinear vibration characterization by signal decomposition
-
Pai PF,. Nonlinear vibration characterization by signal decomposition. Journal of Sound and Vibration 2007; 307: 527 - 544.
-
(2007)
Journal of Sound and Vibration
, vol.307
, pp. 527-544
-
-
Pai, P.F.1
-
41
-
-
77949487347
-
-
Ph.D. Thesis, Department of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece
-
Tsakirtzis S,. Passive targeted energy transfers from elastic continua to essentially nonlinear attachments for suppressing dynamical disturbances. Ph.D. Thesis, Department of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece, 2006.
-
(2006)
Passive Targeted Energy Transfers from Elastic Continua to Essentially Nonlinear Attachments for Suppressing Dynamical Disturbances
-
-
Tsakirtzis, S.1
-
42
-
-
63249109983
-
-
Ph.D. Thesis, Department of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece
-
Georgiades F,. Nonlinear localization and targeted energy transfer phenomena in vibrating systems with smooth and non-smooth stiffness nonlinearities. Ph.D. Thesis, Department of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece, 2006.
-
(2006)
Nonlinear Localization and Targeted Energy Transfer Phenomena in Vibrating Systems with Smooth and Non-smooth Stiffness Nonlinearities
-
-
Georgiades, F.1
-
43
-
-
34447515760
-
Multi-scaled analysis of the damped dynamics of an elastic continuum with an essentially nonlinear end attachment
-
Panagopoulos PN, Georgiades F, Tsakirtzis S, Vakakis AF, Bergman LA,. Multi-scaled analysis of the damped dynamics of an elastic continuum with an essentially nonlinear end attachment. International Journal of Solids and Structures 2007; 44: 6256 - 6278.
-
(2007)
International Journal of Solids and Structures
, vol.44
, pp. 6256-6278
-
-
Panagopoulos, P.N.1
Georgiades, F.2
Tsakirtzis, S.3
Vakakis, A.F.4
Bergman, L.A.5
-
44
-
-
34347348094
-
Broadband passive targeted energy transfer from a linear dispersive rod to a lightweight essentially nonlinear end attachment
-
Georgiades F, Vakakis AF, Kerschen G,. Broadband passive targeted energy transfer from a linear dispersive rod to a lightweight essentially nonlinear end attachment. International Journal of Non-Linear Mechanics 2007; 42: 773 - 788.
-
(2007)
International Journal of Non-Linear Mechanics
, vol.42
, pp. 773-788
-
-
Georgiades, F.1
Vakakis, A.F.2
Kerschen, G.3
-
45
-
-
4344660716
-
Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings
-
Yu D, Cheng J, Yang Y,. Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings. Mechanical Systems and Signal Processing 2005; 19: 259 - 270.
-
(2005)
Mechanical Systems and Signal Processing
, vol.19
, pp. 259-270
-
-
Yu, D.1
Cheng, J.2
Yang, Y.3
-
46
-
-
33750499513
-
The application of energy operator demodulation approach based on EMD in machinery fault diagnosis
-
Junsheng C, Dejie Y, Yu Y,. The application of energy operator demodulation approach based on EMD in machinery fault diagnosis. Mechanical Systems and Signal Processing 2007; 21: 668 - 677.
-
(2007)
Mechanical Systems and Signal Processing
, vol.21
, pp. 668-677
-
-
Junsheng, C.1
Dejie, Y.2
Yu, Y.3
-
47
-
-
1642457413
-
On empirical mode decomposition and its algorithms
-
Grado, Italy, June
-
Rilling G, Flandrin P, Gonçalvás P,. On empirical mode decomposition and its algorithms. IEEE-Eurasip Workshop on Nonlinear Signal and Image Processing, Grado, Italy, June 2003.
-
(2003)
IEEE-Eurasip Workshop on Nonlinear Signal and Image Processing
-
-
Rilling, G.1
Flandrin, P.2
Gonçalvás, P.3
-
49
-
-
33745163942
-
Time-varying vibration decomposition and analysis based on the Hilbert transform
-
Feldman M,. Time-varying vibration decomposition and analysis based on the Hilbert transform. Journal of Sound and Vibration 2006; 295 (3-5): 518 - 530.
-
(2006)
Journal of Sound and Vibration
, vol.295
, Issue.3-5
, pp. 518-530
-
-
Feldman, M.1
-
50
-
-
85008018510
-
One or two frequencies? the empirical mode decomposition answers
-
Rilling G, Flandrin P,. One or two frequencies? The empirical mode decomposition answers. IEEE Transactions on Signal Processing 2008; 56 (1): 85 - 95.
-
(2008)
IEEE Transactions on Signal Processing
, vol.56
, Issue.1
, pp. 85-95
-
-
Rilling, G.1
Flandrin, P.2
-
51
-
-
18844436998
-
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
-
DOI 10.1016/j.physd.2005.03.014, PII S016727890500120X
-
Lee YS, Kerschen G, Vakakis AF, Panagopoulos P, Bergman LA, McFarland DM,. Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Physica D 2005; 204 (1-2): 41 - 69. (Pubitemid 40683792)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.204
, Issue.1-2
, pp. 41-69
-
-
Lee, Y.S.1
Kerschen, G.2
Vakakis, A.F.3
Panagopoulos, P.4
Bergman, L.5
McFarland, D.M.6
-
52
-
-
0003742980
-
Natural forcing functions in nonlinear systems
-
Harvey TJ,. Natural forcing functions in nonlinear systems. AMSE Journal of Applied Mechanics 1958; 25: 352 - 356.
-
(1958)
AMSE Journal of Applied Mechanics
, vol.25
, pp. 352-356
-
-
Harvey, T.J.1
-
53
-
-
68549134930
-
Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments
-
Lee YS, Nucera F, Vakakis AF, McFarland DM, Bergman LA,. Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments. Physica D 2009; 238 (18): 1868 - 1896.
-
(2009)
Physica D
, vol.238
, Issue.18
, pp. 1868-1896
-
-
Lee, Y.S.1
Nucera, F.2
Vakakis, A.F.3
McFarland, D.M.4
Bergman, L.A.5
|