-
1
-
-
33645049419
-
On nonlinear vibrations of systems with many degrees of freedom
-
10.1016/S0065-2156(08)70008-5
-
Rosenberg RM (1966) On nonlinear vibrations of systems with many degrees of freedom. Adv Appl Mech 9:155-242
-
(1966)
Adv Appl Mech
, vol.9
, pp. 155-242
-
-
Rosenberg, R.M.1
-
3
-
-
0027911991
-
Normal modes for non-linear vibratory systems
-
10.1006/jsvi.1993.1198 1231018
-
Shaw SW, Pierre C (1993) Normal modes for non-linear vibratory systems. J Sound Vib 164:40
-
(1993)
J Sound Vib
, vol.164
, pp. 40
-
-
Shaw, S.W.1
Pierre, C.2
-
4
-
-
0030780655
-
Non-linear normal modes (NNMs) and their applications in vibration theory: An overview
-
1997MSSP.11.3V 10.1006/mssp.1996.9999 1436378
-
Vakakis AF (1997) Non-linear normal modes (NNMs) and their applications in vibration theory: an overview. Mech Syst Signal Process 11(1):3-22
-
(1997)
Mech Syst Signal Process
, vol.11
, Issue.1
, pp. 3-22
-
-
Vakakis, A.F.1
-
5
-
-
0026223029
-
Analysis of non-linear dynamical systems by the normal form theory
-
1991JSV.149.429J 10.1016/0022-460X(91)90446-Q
-
Jezequel L, Lamarque CH (1991) Analysis of non-linear dynamical systems by the normal form theory. J Sound Vib 149(3):429-459
-
(1991)
J Sound Vib
, vol.149
, Issue.3
, pp. 429-459
-
-
Jezequel, L.1
Lamarque, C.H.2
-
6
-
-
3943076520
-
Nonlinear normal modes of structural systems via asymptotic approach
-
10.1016/j.ijsolstr.2004.04.029 1073.74032
-
Lacarbonara W, Camillacci R (2004) Nonlinear normal modes of structural systems via asymptotic approach. Int J Solids Struct 41(20):5565-5594
-
(2004)
Int J Solids Struct
, vol.41
, Issue.20
, pp. 5565-5594
-
-
Lacarbonara, W.1
Camillacci, R.2
-
7
-
-
4644266024
-
Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment
-
10.1023/B:NODY.0000042911.49430.25 1081.70012 2098826
-
Gendelman OV (2004) Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment. Nonlinear Dyn 37(2):115-128
-
(2004)
Nonlinear Dyn
, vol.37
, Issue.2
, pp. 115-128
-
-
Gendelman, O.V.1
-
8
-
-
34249797583
-
Dimension reduction of homoclinic orbits of buckled beams via the non-linear normal modes technique
-
10.1016/j.ijnonlinmec.2007.02.004 1200.74091
-
Lenci S, Rega G (2007) Dimension reduction of homoclinic orbits of buckled beams via the non-linear normal modes technique. Int J Non-linear Mech 42(3):515-528
-
(2007)
Int J Non-linear Mech
, vol.42
, Issue.3
, pp. 515-528
-
-
Lenci, S.1
Rega, G.2
-
9
-
-
77956614808
-
Nonlinear normal modes of a self-excited system driven by parametric and external excitations
-
10.1007/s11071-010-9679-5 1204.70027 2718352
-
Warminski J (2010) Nonlinear normal modes of a self-excited system driven by parametric and external excitations. Nonlinear Dyn 61(4):677-689
-
(2010)
Nonlinear Dyn
, vol.61
, Issue.4
, pp. 677-689
-
-
Warminski, J.1
-
10
-
-
18844436998
-
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
-
2005PhyD.204.41L 10.1016/j.physd.2005.03.014 1179.70013 2147471
-
Lee YS, Kerschen G, Vakakis AF, Panagopoulos P, Bergman L, McFarland DM (2005) Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Physica D 204(1-2):41-69
-
(2005)
Physica D
, 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
-
11
-
-
53849093038
-
Nonlinear normal modes, part I: A useful framework for the structural dynamicist
-
2009MSSP.23.170K 10.1016/j.ymssp.2008.04.002
-
Kerschen G, Peeters M, Golinval JC, Vakakis AF (2009) Nonlinear normal modes, part I: A useful framework for the structural dynamicist. Mech Syst Signal Process 23(1):170-194
-
(2009)
Mech Syst Signal Process
, vol.23
, Issue.1
, pp. 170-194
-
-
Kerschen, G.1
Peeters, M.2
Golinval, J.C.3
Vakakis, A.F.4
-
12
-
-
33746882845
-
Two methods for the computation of nonlinear modes of vibrating systems at large amplitudes
-
10.1016/j.compstruc.2006.01.011 2248882
-
Arquier R, Bellizzi S, Bouc R, Cochelin B (2006) Two methods for the computation of nonlinear modes of vibrating systems at large amplitudes. Comput Struct 84(24-25):1565-1576
-
(2006)
Computers & Structures
, vol.84
, Issue.24-25
, pp. 1565-1576
-
-
Arquier, R.1
Bellizzi, S.2
Bouc, R.3
Cochelin, B.4
-
13
-
-
53849083425
-
Nonlinear normal modes, part II: Toward a practical computation using numerical continuation techniques
-
2009MSSP.23.195P 10.1016/j.ymssp.2008.04.003
-
Peeters M, Viguié R, Sérandour G, Kerschen G, Golinval JC (2009) Nonlinear normal modes, part II: Toward a practical computation using numerical continuation techniques. Mech Syst Signal Process 23(1):195-216
-
(2009)
Mech Syst Signal Process
, vol.23
, Issue.1
, pp. 195-216
-
-
Peeters, M.1
Viguié, R.2
Sérandour, G.3
Kerschen, G.4
Golinval, J.C.5
-
14
-
-
84888382759
-
Nonlinear normal modes of a full-scale aircraft
-
10.2514/1.C031918
-
Kerschen G, Peeters M, Golinval JC, Stephan C (2013) Nonlinear normal modes of a full-scale aircraft. AIAA Journal Aircr 50:1409-1419
-
(2013)
AIAA J
, vol.50
, pp. 1409-1419
-
-
Kerschen, G.1
Peeters, M.2
Golinval, J.C.3
Stephan, C.4
-
15
-
-
33748795371
-
Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures
-
2006JSV.298.958T 10.1016/j.jsv.2006.06.032
-
Touzé C, Amabili M (2006) Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures. J Sound Vib 298(4-5):958-981
-
(2006)
J Sound Vib
, vol.298
, Issue.4-5
, pp. 958-981
-
-
Touzé, C.1
Amabili, M.2
-
16
-
-
0029388116
-
Nonlinear normal modes, invariance, and modal dynamics approximations of nonlinear systems
-
1369226
-
Boivin N, Pierre C, Shaw SW (1995) Nonlinear normal modes, invariance, and modal dynamics approximations of nonlinear systems. Nonlinear Dyn 8:32
-
(1995)
Nonlinear Dynamics
, vol.8
, pp. 32
-
-
Boivin, N.1
Pierre, C.2
Shaw, S.W.3
-
17
-
-
0030173462
-
Normal modes for piecewise linear vibratory systems
-
10.1007/BF00045454 1392618
-
Chen S-L, Shaw SW (1996) Normal modes for piecewise linear vibratory systems. Nonlinear Dyn 10:135-164
-
(1996)
Nonlinear Dynamics
, vol.10
, pp. 135-164
-
-
Chen, S.-L.1
Shaw, S.W.2
-
18
-
-
84905117326
-
Non-linear modal analysis of the forced response of structural systems
-
Boivin N, Pierre C, Shaw SW (1996) Non-linear modal analysis of the forced response of structural systems. AIAA J 31:22
-
(1996)
AIAA J
, vol.31
, pp. 22
-
-
Boivin, N.1
Pierre, C.2
Shaw, W.3
-
19
-
-
0000992329
-
Non-linear modal analysis of structural systems featuring internal resonances
-
10.1006/jsvi.1995.0201
-
Boivin N, Pierre C, Shaw SW (1995) Non-linear modal analysis of structural systems featuring internal resonances. J Sound Vib 182:6
-
(1995)
J Sound Vib
, vol.182
, pp. 6
-
-
Boivin, N.1
Pierre, C.2
Shaw, S.W.3
-
20
-
-
0037474503
-
A new Galerkin-based approach for accurate non-linear normal modes through invariant manifolds
-
2002JSV.249.971P 10.1006/jsvi.2001.3914 1237.70100 1894121
-
Pesheck E, Pierre C, Shaw SW (2002) A new Galerkin-based approach for accurate non-linear normal modes through invariant manifolds. J Sound Vib 249(5):971-993
-
(2002)
J Sound Vib
, vol.249
, Issue.5
, pp. 971-993
-
-
Pesheck, E.1
Pierre, C.2
Shaw, S.W.3
-
22
-
-
2142657195
-
Large-amplitude non-linear normal modes of piecewise linear systems
-
2004JSV.272.869J 10.1016/S0022-460X(03)00497-8 2049828
-
Jiang D, Pierre C, Shaw SW (2004) Large-amplitude non-linear normal modes of piecewise linear systems. J Sound Vib 272(3-5):869-891
-
(2004)
J Sound Vib
, vol.272
, Issue.3-5
, pp. 869-891
-
-
Jiang, D.1
Pierre, C.2
Shaw, S.W.3
-
23
-
-
26444518712
-
Nonlinear normal modes for vibratory systems under harmonic excitation
-
2005JSV.288.791J 10.1016/j.jsv.2005.01.009
-
Jiang D, Pierre C, Shaw SW (2005) Nonlinear normal modes for vibratory systems under harmonic excitation. J Sound Vib 288(4-5):791-812
-
(2005)
J Sound Vib
, vol.288
, Issue.4-5
, pp. 791-812
-
-
Jiang, D.1
Pierre, C.2
Shaw, S.W.3
-
24
-
-
0035410005
-
Nonlinear modal analysis of structural systems using multi-mode invariant manifolds
-
10.1023/A:1012910918498 1028.74025
-
Pesheck E, Boivin N, Pierre C, Shaw SW (2001) Nonlinear modal analysis of structural systems using multi-mode invariant manifolds. Nonlinear Dyn 25:183-205
-
(2001)
Nonlinear Dyn
, vol.25
, pp. 183-205
-
-
Pesheck, E.1
Bovine, N.2
Pierre, C.3
Shaw, S.W.4
-
25
-
-
13544274198
-
The construction of non-linear normal modes for systems with internal resonance
-
10.1016/j.ijnonlinmec.2004.08.010 05138624
-
Jiang D, Pierre C, Shaw SW (2005) The construction of non-linear normal modes for systems with internal resonance. Int J Non-linear Mech 40(5):729-746
-
(2005)
Int J Non-linear Mech
, vol.40
, Issue.5
, pp. 729-746
-
-
Jiang, D.1
Pierre, C.2
Shaw, S.W.3
-
26
-
-
77956186192
-
Nonlinear normal modes of a rotating shaft based on the invariant manifold method
-
10.1155/S1023621X04000338
-
Legrand M, Jiang D, Pierre C, Shaw SW (2004) Nonlinear normal modes of a rotating shaft based on the invariant manifold method. Int J Rotat Mach 10(4):319-335
-
(2004)
Int J Rotat Mach
, vol.10
, Issue.4
, pp. 319-335
-
-
Legrand, M.1
Jiang, D.2
Pierre, C.3
Shaw, S.W.4
-
27
-
-
84875260309
-
On the numerical computation of nonlinear normal modes for reduced-order modelling of conservative vibratory systems
-
2013MSSP.36.520B 10.1016/j.ymssp.2012.10.016
-
Blanc F, Touzé C, Mercier JF, Ege K, Bonnet Ben-Dhia AS (2013) On the numerical computation of nonlinear normal modes for reduced-order modelling of conservative vibratory systems. Mech Syst Signal Process 36(2):520-539
-
(2013)
Mech Syst Signal Process
, vol.36
, Issue.2
, pp. 520-539
-
-
Blanc, F.1
Touzé, C.2
Mercier, J.F.3
Ege, K.4
Bonnet Ben-Dhia, A.S.5
-
28
-
-
24144498757
-
A new formulation for the existence and calculation of nonlinear normal modes
-
2005JSV.287.545B 10.1016/j.jsv.2004.11.014 1243.70029 2173870
-
Bellizzi S, Bouc R (2005) A new formulation for the existence and calculation of nonlinear normal modes. J Sound Vib 287(3):545-569
-
(2005)
J Sound Vib
, vol.287
, Issue.3
, pp. 545-569
-
-
Bellizzi, S.1
Bouc, R.2
-
29
-
-
33845865823
-
An amplitude-phase formulation for nonlinear modes and limit cycles through invariant manifolds
-
2007JSV.300.896B 10.1016/j.jsv.2006.09.004
-
Bellizzi S, Bouc R (2007) An amplitude-phase formulation for nonlinear modes and limit cycles through invariant manifolds. J Sound Vib 300(3-5):896-915
-
(2007)
J Sound Vib
, vol.300
, Issue.3-5
, pp. 896-915
-
-
Bellizzi, S.1
Bouc, R.2
-
30
-
-
63549092696
-
Complex non-linear modal analysis for mechanical systems: Application to turbomachinery bladings with friction interfaces
-
2009JSV.322.1009L 10.1016/j.jsv.2008.11.044
-
Laxalde D, Thouverez F (2009) Complex non-linear modal analysis for mechanical systems: application to turbomachinery bladings with friction interfaces. J Sound Vib 322(4-5):1009-1025
-
(2009)
Journal of Sound and Vibration
, vol.322
, Issue.4-5
, pp. 1009-1025
-
-
Laxalde, D.1
Thouverez, F.2
-
33
-
-
1842787949
-
Automatic mesh update with the solid-extension mesh moving technique
-
2004CMAME.193.2019S 10.1016/j.cma.2003.12.046 1067.74587
-
Stein K, Tezduyar TE, Benney R (2004) Automatic mesh update with the solid-extension mesh moving technique. Comput Methods Appl Mech Eng 193(21-22):2019-2032
-
(2004)
Comput Methods Appl Mech Eng
, vol.193
, Issue.21-22
, pp. 2019-2032
-
-
Stein, K.1
Tezduyar, T.E.2
Benney, R.3
-
34
-
-
1842685591
-
Finite element mesh update methods for fluid-structure interaction simulations
-
10.1016/j.finel.2003.05.001
-
Xu Z, Accorsi M (2004) Finite element mesh update methods for fluid-structure interaction simulations. Finite Elem Anal Des 40(9-10):1259-1269
-
(2004)
Finite Elem Anal des
, vol.40
, Issue.9-10
, pp. 1259-1269
-
-
Xu, Z.1
Accorsi, M.2
-
37
-
-
0019607241
-
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
-
1982CMAME.32.199B 10.1016/0045-7825(82)90071-8 0497.76041 679322
-
Brooks AN, Hughes TJR (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 32(1-3):199-259
-
(1982)
Comput Methods Appl Mech Eng
, vol.32
, Issue.1-3
, pp. 199-259
-
-
Brooks, A.N.1
Hughes, T.J.R.2
-
38
-
-
0021497923
-
Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
-
1984CMAME.45.217H 10.1016/0045-7825(84)90157-9 0542.76093 759810
-
Hughes TJR, Tezduyar TE (1984) Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Comput Methods Appl Mech Eng 45(1-3):217-284
-
(1984)
Comput Methods Appl Mech Eng
, vol.45
, Issue.1-3
, pp. 217-284
-
-
Hughes, T.J.R.1
Tezduyar, T.E.2
-
39
-
-
10044269430
-
Asymptotic non-linear normal modes for large-amplitude vibrations of continuous structures
-
10.1016/j.compstruc.2004.09.003
-
Touzé C, Thomas O, Huberdeau A (2004) Asymptotic non-linear normal modes for large-amplitude vibrations of continuous structures. Comput Struct 82(31-32):2671-2682
-
(2004)
Comput Struct
, vol.82
, Issue.31-32
, pp. 2671-2682
-
-
Touzé, C.1
Thomas, O.2
Huberdeau, A.3
-
41
-
-
0003584080
-
Practical bifurcation and stability analysis, volume 5 of Interdisciplinary
-
Springer, New York
-
Seydel R (2010) Practical bifurcation and stability analysis, volume 5 of Interdisciplinary Applied Mathematics. Springer, New York
-
(2010)
Applied Mathematics
-
-
Seydel, R.1
|