-
1
-
-
0026419989
-
The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, Part I: Simply supported and clamped-clamped beams
-
Benamar, R., Bennouna, M. M. K., and White, R. G., 1991, “The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, Part I: Simply supported and clamped-clamped beams,” Journal of Sound and Vibration, Vol. 149, pp. 179-195.
-
(1991)
Journal of Sound and Vibration
, vol.149
, pp. 179-195
-
-
Benamar, R.1
Bennouna, M.M.K.2
White, R.G.3
-
2
-
-
0021758053
-
The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam
-
Bennouna, M. M. K., and White, R. G, 1984, “The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam,” Journal of Sound and Vibration, Vol. 96, pp. 309-331.
-
(1984)
Journal of Sound and Vibration
, vol.96
, pp. 309-331
-
-
Bennouna, M.M.K.1
White, R.G.2
-
3
-
-
33746103162
-
Nonlinear normal modes, invariance, and modal dynamics approximations of nonlinear systems
-
Albuquerque, NM, Sept
-
Boivin, N., Pierre, C., and Shaw, S. W., 1993, “Nonlinear normal modes, invariance, and modal dynamics approximations of nonlinear systems,” Proceedings of the 14th Biennial Conference on Mechanical Vibration and Noise, Albuquerque, NM, Sept. 19-22.
-
(1993)
Proceedings of the 14Th Biennial Conference on Mechanical Vibration and Noise
, pp. 19-22
-
-
Boivin, N.1
Pierre, C.2
Shaw, S.W.3
-
4
-
-
0025638281
-
Analytical study of similar normal modes and their bifurcations in a class of strongly nonlinear systems
-
Caughey, T. K., Vakakis, A. F., and Sivo, J., 1990, “Analytical study of similar normal modes and their bifurcations in a class of strongly nonlinear systems,” International Journal of Non-Linear Mechanics, Vol.' 25, No. 5, pp. 521-533.
-
(1990)
International Journal of Non-Linear Mechanics
, vol.25
, Issue.5
, pp. 521-533
-
-
Caughey, T.K.1
Vakakis, A.F.2
Sivo, J.3
-
5
-
-
0000576420
-
On the existence of periodic solutions and normal mode vibrations of nonlinear systems
-
Cooke, C. H., and Struble, R. A., 1966, “On the existence of periodic solutions and normal mode vibrations of nonlinear systems,” Quarterly of Applied Mathematics, Vol. 24, No. 3, pp. 177-193.
-
(1966)
Quarterly of Applied Mathematics
, vol.24
, Issue.3
, pp. 177-193
-
-
Cooke, C.H.1
Struble, R.A.2
-
6
-
-
0038937822
-
Analytical and experimental aspects of nonlinear normal modes and nonlinear mode localization
-
Urbana, IL
-
King, M. E., 1995, “Analytical and experimental aspects of nonlinear normal modes and nonlinear mode localization,” Ph.D. Thesis, University of Illinois, Urbana, IL.
-
(1995)
Ph.D. Thesis, University of Illinois
-
-
King, M.E.1
-
7
-
-
0028461550
-
An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems, ASME
-
King, M. E., and Vakakis, A. F., 1994, “An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems,” ASME Journal of Vibration and Acoustics, Vol. 116, pp. 332-340.
-
(1994)
Journal of Vibration and Acoustics
, vol.116
, pp. 332-340
-
-
King, M.E.1
Vakakis, A.F.2
-
8
-
-
0029292094
-
Asymptotic analysis of nonlinear mode localization in a class of coupled continuous structures
-
King, M. E., and Vakakis, A. F., 1995, “Asymptotic analysis of nonlinear mode localization in a class of coupled continuous structures,” Int. Journal of Solids and Structures, Vol. 32, No. 8-9, pp. 1161-1177.
-
(1995)
Int. Journal of Solids and Structures
, vol.32
, Issue.8-9
, pp. 1161-1177
-
-
King, M.E.1
Vakakis, A.F.2
-
9
-
-
0000405689
-
On periodic solutions close to rectilinear normal vibration modes
-
Manevitch, L. I., and Mikhlin, Y. V., 1972, “On periodic solutions close to rectilinear normal vibration modes,” PMM, Vol. 36, No. 6, pp. 1051-1058.
-
(1972)
PMM
, vol.36
, Issue.6
, pp. 1051-1058
-
-
Manevitch, L.I.1
Mikhlin, Y.V.2
-
10
-
-
33746099584
-
Resonance modes of near-conservative nonlinear systems
-
Mikhlin, Y. V., 1974, “Resonance modes of near-conservative nonlinear systems,” PMM, Vol. 38, No. 3, pp. 459-464.
-
(1974)
PMM
, vol.38
, Issue.3
, pp. 459-464
-
-
Mikhlin, Y.V.1
-
11
-
-
0007097754
-
The Stability of Bifurcating Periodic Solutions in a Two Degree-of-Freedom Nonlinear System
-
Month, L. A., and Rand, R. H., 1977, “The Stability of Bifurcating Periodic Solutions in a Two Degree-of-Freedom Nonlinear System,” ASME Journal of Applied Mechanics, Vol. 44, pp. 782-783.
-
(1977)
ASME Journal of Applied Mechanics
, vol.44
, pp. 782-783
-
-
Month, L.A.1
Rand, R.H.2
-
13
-
-
0003696581
-
-
John Wiley and Sons, New York
-
Nayfeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, John Wiley and Sons, New York.
-
(1979)
Nonlinear Oscillations
-
-
Nayfeh, A.H.1
Mook, D.T.2
-
14
-
-
0028197991
-
On Nonlinear Modes of Continuous Systems, ASME
-
Nayfeh, A. H., and Nayfeh, S. A., 1994, “On Nonlinear Modes of Continuous Systems,” ASME Journal of Vibration and Acoustics, Vol. 116, pp. 129-136.
-
(1994)
Journal of Vibration and Acoustics
, vol.116
, pp. 129-136
-
-
Nayfeh, A.H.1
Nayfeh, S.A.2
-
15
-
-
0015110725
-
A higher order approximation for Nonlinear Normal Modes in two-dof Systems
-
Rand, R. H., 1971, “A higher order approximation for Nonlinear Normal Modes in two-dof Systems,” International Journal of Non-Linear Mechanics, Vol. 6, pp. 545-547.
-
(1971)
International Journal of Non-Linear Mechanics
, vol.6
, pp. 545-547
-
-
Rand, R.H.1
-
16
-
-
85025205564
-
-
personal communications with authors
-
Rand, R. H., 1995, personal communications with authors.
-
(1995)
-
-
Rand, R.H.1
-
17
-
-
0001394731
-
Bifurcations of nonlinear normal modes in a class of two degree of freedom systems
-
Rand, R. H., Pak, C. H., and Vakakis, A. F., 1992, “Bifurcations of nonlinear normal modes in a class of two degree of freedom systems,” Acta Mechanica, [Suppl] Vol. 3, pp. 129-145.
-
(1992)
Acta Mechanica
, vol.3
, pp. 129-145
-
-
Rand, R.H.1
Pak, C.H.2
Vakakis, A.F.3
-
18
-
-
0006998795
-
On the existence of normal mode vibrations of nonlinear systems with two degrees of freedom
-
Rosenberg, R. M., 1964, “On the existence of normal mode vibrations of nonlinear systems with two degrees of freedom,” Quarterly of Applied Mathematics, Vol. 22, No. 3, pp. 217-234.
-
(1964)
Quarterly of Applied Mathematics
, vol.22
, Issue.3
, pp. 217-234
-
-
Rosenberg, R.M.1
-
19
-
-
33645049419
-
On non-linear vibrations of systems with many degrees of freedom
-
Rosenberg, R. M., 1966, “On non-linear vibrations of systems with many degrees of freedom,” Advances in Applied Mechanics, Vol. 9, pp. 155-242.
-
(1966)
Advances in Applied Mechanics
, vol.9
, pp. 155-242
-
-
Rosenberg, R.M.1
-
20
-
-
0026420003
-
Nonlinear normal modes and invariant manifolds
-
Shaw, S. W., and Pierre, C., 1991, “Nonlinear normal modes and invariant manifolds,” Journal of Sound and Vibration, Vol. 150, pp. 170-173.
-
(1991)
Journal of Sound and Vibration
, vol.150
, pp. 170-173
-
-
Shaw, S.W.1
Pierre, C.2
-
21
-
-
85024594409
-
-
Anaheim, CA, Nov
-
Shaw, S. W., and Pierre, C., 1992, “On nonlinear normal modes,” Winter Annual Meeting, ASME, Anaheim, CA, Nov. 8-13.
-
(1992)
On Nonlinear Normal Modes, Winter Annual Meeting, ASME
, pp. 8-13
-
-
Shaw, S.W.1
Pierre, C.2
-
22
-
-
0027911991
-
Normal modes for nonlinear vibratory systems
-
Shaw, S. W., and Pierre, C., 1993, “Normal modes for nonlinear vibratory systems,” Journal of Sound and Vibration, Vol. 164, No. 1, pp. 85-96.
-
(1993)
Journal of Sound and Vibration
, vol.164
, Issue.1
, pp. 85-96
-
-
Shaw, S.W.1
Pierre, C.2
-
23
-
-
0028203123
-
Normal modes of vibration for nonlinear continuous systems
-
Shaw, S. W., and Pierre, C., 1994, “Normal modes of vibration for nonlinear continuous systems,” Journal of Sound and Vibration, Vol. 169, No. 3, pp. 319-348.
-
(1994)
Journal of Sound and Vibration
, vol.169
, Issue.3
, pp. 319-348
-
-
Shaw, S.W.1
Pierre, C.2
-
24
-
-
0003966737
-
Analysis and identification of linear and nonlinear normal modes in vibrating systems
-
Pasadena, CA
-
Vakakis, A. F., 1990, “Analysis and identification of linear and nonlinear normal modes in vibrating systems,” Ph.D. Thesis, California Institute of Technology, Pasadena, CA.
-
(1990)
Ph.D. Thesis, California Institute of Technology
-
-
Vakakis, A.F.1
-
25
-
-
0000742662
-
Fundamental and subharmonic resonances in a system with a ‘1-1 internal resonance
-
Vakakis, A. F., 1992a, “Fundamental and subharmonic resonances in a system with a ‘1-1’ internal resonance,” Nonlinear Dynamics, Vol. 3, pp. 123-143.
-
(1992)
Nonlinear Dynamics
, vol.3
, pp. 123-143
-
-
Vakakis, A.F.1
-
26
-
-
0026938396
-
Nonsimilar normal oscillations in a strongly nonlinear discrete system
-
Vakakis, A. F., 1992b, “Nonsimilar normal oscillations in a strongly nonlinear discrete system,” Journal of Sound and Vibration, Vol. 151, No. 22, pp. 341-361.
-
(1992)
Journal of Sound and Vibration
, vol.151
, Issue.22
, pp. 341-361
-
-
Vakakis, A.F.1
-
27
-
-
0000472377
-
A Theorem on the Exact Nonsimilar Steady-State Motions of a Nonlinear Oscillator
-
Vakakis, A. F., and Caughey, T. K., 1992, “A Theorem on the Exact Nonsimilar Steady-State Motions of a Nonlinear Oscillator,” ASME Journal of Applied Mechanics, Vol. 59, pp. 418-424.
-
(1992)
ASME Journal of Applied Mechanics
, vol.59
, pp. 418-424
-
-
Vakakis, A.F.1
Caughey, T.K.2
-
28
-
-
0003455471
-
-
Wiley Interscience, in press
-
Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. V., Pilipchuk, V. N., and Zevin, A. A., 1995, Normal Modes and Localization in Continuous Systems, Wiley Interscience, in press.
-
(1995)
Normal Modes and Localization in Continuous Systems
-
-
Vakakis, A.F.1
Manevitch, L.I.2
Mikhlin, Y.V.3
Pilipchuk, V.N.4
Zevin, A.A.5
-
29
-
-
0001459972
-
Normal modes of nonlinear hamiltonian systems
-
Weinstein, A., 1973, “Normal modes of nonlinear hamiltonian systems,” In-ventiones math., Vol. 20, pp. 47-57.
-
(1973)
In-Ventiones Math
, vol.20
, pp. 47-57
-
-
Weinstein, A.1
|