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Volumn 48, Issue 3, 2007, Pages 231-252

Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: Theoretical formulation and model validation

Author keywords

Exact approximate model; Higher order effects; Horizontal inclined sagged cable; Internal resonance; Longitudinal dynamics; Nonlinear free vibration

Indexed keywords

COMPUTER SIMULATION; INVERSE KINEMATICS; MATHEMATICAL MODELS; MODAL ANALYSIS; NONLINEAR EQUATIONS; VIBRATION MEASUREMENT;

EID: 33847248051     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9086-0     Document Type: Article
Times cited : (122)

References (37)
  • 1
    • 19844371977 scopus 로고    scopus 로고
    • Non-linear dynamics of suspended cables, Part I: Modeling and analysis
    • Rega, G.: Non-linear dynamics of suspended cables, Part I: Modeling and analysis. ASME Appl. Mech. Rev. 57, 443-478 (2004)
    • (2004) ASME Appl. Mech. Rev , vol.57 , pp. 443-478
    • Rega, G.1
  • 2
    • 19844367904 scopus 로고    scopus 로고
    • Non-linear dynamics of suspended cables. Part II: Deterministic phenomena
    • Rega, G.: Non-linear dynamics of suspended cables. Part II: Deterministic phenomena. ASME Appl. Mech. Rev. 57, 479-514 (2004)
    • (2004) ASME Appl. Mech. Rev , vol.57 , pp. 479-514
    • Rega, G.1
  • 3
    • 0037411958 scopus 로고    scopus 로고
    • Resonant non-linear normal modes. Part II: Activation/orthogonality conditions for shallow structural systems
    • Lacarbonara, W., Rega, G.: Resonant non-linear normal modes. Part II: Activation/orthogonality conditions for shallow structural systems. Int. J. Non-linear Mech. 38, 873-887 (2003)
    • (2003) Int. J. Non-linear Mech , vol.38 , pp. 873-887
    • Lacarbonara, W.1    Rega, G.2
  • 5
    • 0026207592 scopus 로고
    • Internal resonance and non-linear response of a cable under periodic excitation
    • Rao, G.V., Iyengar, R.N.: Internal resonance and non-linear response of a cable under periodic excitation. J. Sound Vib. 149, 25-41 (1991)
    • (1991) J. Sound Vib , vol.149 , pp. 25-41
    • Rao, G.V.1    Iyengar, R.N.2
  • 6
    • 0026836244 scopus 로고
    • Modal interactions in the non-linear response of elastic cables under parametric/external excitation
    • Perkins, N.C.: Modal interactions in the non-linear response of elastic cables under parametric/external excitation. Int. J. Non-Linear Mech. 27, 233-250 (1992)
    • (1992) Int. J. Non-Linear Mech , vol.27 , pp. 233-250
    • Perkins, N.C.1
  • 7
    • 0000222309 scopus 로고
    • Non-linear oscillations of suspended cables containing a two-to-one internal resonance
    • Lee, C.L., Perkins, N.C.: Non-linear oscillations of suspended cables containing a two-to-one internal resonance. Nonlinear Dyn. 3, 465-490 (1992)
    • (1992) Nonlinear Dyn , vol.3 , pp. 465-490
    • Lee, C.L.1    Perkins, N.C.2
  • 8
    • 0029344376 scopus 로고
    • Three-dimensional oscillations of suspended cables involving simultaneous internal resonances
    • Lee, C.L., Perkins, N.C.: Three-dimensional oscillations of suspended cables involving simultaneous internal resonances. Nonlinear Dyn. 8, 45-63 (1995)
    • (1995) Nonlinear Dyn , vol.8 , pp. 45-63
    • Lee, C.L.1    Perkins, N.C.2
  • 9
    • 0000242430 scopus 로고
    • Non-linear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions
    • Benedettini, F., Rega, G., Alaggio, R.: Non-linear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions. J. Sound Vib. 182, 775-798 (1995)
    • (1995) J. Sound Vib , vol.182 , pp. 775-798
    • Benedettini, F.1    Rega, G.2    Alaggio, R.3
  • 10
    • 0031259358 scopus 로고    scopus 로고
    • Experimental investigation of the non-linear response of a hanging cable. Part I: Local analysis
    • Rega, G., Alaggio, R., Benedettini, F.: Experimental investigation of the non-linear response of a hanging cable. Part I: Local analysis. Nonlinear Dyn. 14, 89-117 (1997)
    • (1997) Nonlinear Dyn , vol.14 , pp. 89-117
    • Rega, G.1    Alaggio, R.2    Benedettini, F.3
  • 11
    • 0000617311 scopus 로고    scopus 로고
    • Multiple resonances in suspended cables: Direct versus reduced-order models
    • Rega, G., Lacarbonara, W., Nayfeh, A.H., Chin, C.M.: Multiple resonances in suspended cables: direct versus reduced-order models, Int. J. Non-Linear Mech. 34, 901-924 (1999)
    • (1999) Int. J. Non-Linear Mech , vol.34 , pp. 901-924
    • Rega, G.1    Lacarbonara, W.2    Nayfeh, A.H.3    Chin, C.M.4
  • 15
    • 0346885975 scopus 로고    scopus 로고
    • Non-linear oscillations of cables under harmonic loading using analytical and finite element models
    • Gattulli, V., Martinelli, L., Perotti, F., Vestroni, F.: Non-linear oscillations of cables under harmonic loading using analytical and finite element models. Comput. Methods Appl. Mech. Eng. 193, 69-85 (2004)
    • (2004) Comput. Methods Appl. Mech. Eng , vol.193 , pp. 69-85
    • Gattulli, V.1    Martinelli, L.2    Perotti, F.3    Vestroni, F.4
  • 16
    • 0028485486 scopus 로고
    • Dynamics of elastic cable under parametric and external resonances
    • Cai, Y., Chen, S.S.: Dynamics of elastic cable under parametric and external resonances. ASCE J. Eng. Mech. 120, 1786-1802 (1994)
    • (1994) ASCE J. Eng. Mech , vol.120 , pp. 1786-1802
    • Cai, Y.1    Chen, S.S.2
  • 17
    • 0037149205 scopus 로고    scopus 로고
    • Super and combinatorial harmonic response of flexible elastic cables with small sag
    • Nielsen, S.R.K., Kirkegaard, P.H.: Super and combinatorial harmonic response of flexible elastic cables with small sag. J. Sound Vib. 251, 79-102 (2002)
    • (2002) J. Sound Vib , vol.251 , pp. 79-102
    • Nielsen, S.R.K.1    Kirkegaard, P.H.2
  • 18
    • 0037411924 scopus 로고    scopus 로고
    • Non-linear dynamic analysis of the two-dimensional simplified model of an elastic cable
    • Zhao, Y.Y., Wang, L.H., Chen, D.L., Jiang, L.Z.: Non-linear dynamic analysis of the two-dimensional simplified model of an elastic cable. J. Sound Vib. 255, 43-59 (2002)
    • (2002) J. Sound Vib , vol.255 , pp. 43-59
    • Zhao, Y.Y.1    Wang, L.H.2    Chen, D.L.3    Jiang, L.Z.4
  • 19
    • 0036772541 scopus 로고    scopus 로고
    • Super-harmonic and internal resonances of a suspended cable with nearly commensurable natural frequencies
    • Zheng, G., Ko, G.M., Ni, Y.Q.: Super-harmonic and internal resonances of a suspended cable with nearly commensurable natural frequencies. Nonlinear Dyn. 30, 55-70 (2002)
    • (2002) Nonlinear Dyn , vol.30 , pp. 55-70
    • Zheng, G.1    Ko, G.M.2    Ni, Y.Q.3
  • 20
    • 0142153908 scopus 로고    scopus 로고
    • Large amplitude three-dimensional free vibrations of inclined sagged elastic cables
    • Srinil, N., Rega, G., Chucheepsakul, S.: Large amplitude three-dimensional free vibrations of inclined sagged elastic cables. Nonlinear Dyn. 33, 129-154 (2003)
    • (2003) Nonlinear Dyn , vol.33 , pp. 129-154
    • Srinil, N.1    Rega, G.2    Chucheepsakul, S.3
  • 21
    • 0345870011 scopus 로고    scopus 로고
    • Three-dimensional non-linear coupling and dynamic tension in the large amplitude free vibrations of arbitrarily sagged cables
    • Srinil, N., Rega, G., Chucheepsakul, S.: Three-dimensional non-linear coupling and dynamic tension in the large amplitude free vibrations of arbitrarily sagged cables. J. Sound Vib. 269, 823-852 (2004)
    • (2004) J. Sound Vib , vol.269 , pp. 823-852
    • Srinil, N.1    Rega, G.2    Chucheepsakul, S.3
  • 22
    • 0029342380 scopus 로고
    • Analysis of one-to-one autoparametric resonance in cables-discretization vs. direct treatment
    • Pakdemirli, M., Nayfeh, S.A., Nayfeh, A.H.: Analysis of one-to-one autoparametric resonance in cables-discretization vs. direct treatment. Nonlinear Dyn. 8, 65-83 (1995)
    • (1995) Nonlinear Dyn , vol.8 , pp. 65-83
    • Pakdemirli, M.1    Nayfeh, S.A.2    Nayfeh, A.H.3
  • 23
    • 0037411955 scopus 로고    scopus 로고
    • Resonant non-linear normal modes. Part I: Analytical treatment for structural one-dimensional systems
    • Lacarbonara, W., Rega, G., Nayfeh, A.H.: Resonant non-linear normal modes. Part I: Analytical treatment for structural one-dimensional systems. Int. J. Non-Linear Mech. 38, 851-872 (2003)
    • (2003) Int. J. Non-Linear Mech , vol.38 , pp. 851-872
    • Lacarbonara, W.1    Rega, G.2    Nayfeh, A.H.3
  • 24
    • 0141595215 scopus 로고    scopus 로고
    • Non-linear responses of suspended cables to primary resonance excitations
    • Arafat, H.N., Nayfeh, A.H.: Non-linear responses of suspended cables to primary resonance excitations. J. Sound Vib. 266, 325-354 (2003)
    • (2003) J. Sound Vib , vol.266 , pp. 325-354
    • Arafat, H.N.1    Nayfeh, A.H.2
  • 25
    • 33847298659 scopus 로고    scopus 로고
    • Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: Internal resonance activation, reduced-order models and non-linear normal modes
    • in press, doi: 10.1007/s11071-006-9087-z
    • Srinil, N., Rega, G.: Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: Internal resonance activation, reduced-order models and non-linear normal modes. Nonlinear Dyn. (in press), doi: 10.1007/s11071-006-9087-z.
    • Nonlinear Dyn
    • Srinil, N.1    Rega, G.2
  • 26
    • 0000942061 scopus 로고
    • On non-linear free vibrations of an elastic cable
    • Hagedorn, P., Schafer, B.: On non-linear free vibrations of an elastic cable. Int. J. Non-Linear Mech. 15, 333-340 (1980)
    • (1980) Int. J. Non-Linear Mech , vol.15 , pp. 333-340
    • Hagedorn, P.1    Schafer, B.2
  • 27
    • 0020126749 scopus 로고
    • Monofrequent oscillations of a non-linear model of a suspended cable
    • Luongo, A., Rega, G., Vestroni, F.: Monofrequent oscillations of a non-linear model of a suspended cable. J. Sound Vib. 82, 247-259 (1982)
    • (1982) J. Sound Vib , vol.82 , pp. 247-259
    • Luongo, A.1    Rega, G.2    Vestroni, F.3
  • 28
    • 0021142069 scopus 로고
    • Planar non-linear free vibrations of an elastic cable
    • Luongo, A., Rega, G., Vestroni, F.: Planar non-linear free vibrations of an elastic cable. Int. J. Non-linear Mech. 19, 39-52 (1984)
    • (1984) Int. J. Non-linear Mech , vol.19 , pp. 39-52
    • Luongo, A.1    Rega, G.2    Vestroni, F.3
  • 29
    • 0002744612 scopus 로고
    • Modal coupling in the free nonplanar finite motion of an elastic cable
    • Benedettini, F., Rega, G., Vestroni, F.: Modal coupling in the free nonplanar finite motion of an elastic cable. Meccanica 21, 38-46 (1986)
    • (1986) Meccanica , vol.21 , pp. 38-46
    • Benedettini, F.1    Rega, G.2    Vestroni, F.3
  • 30
    • 0023648476 scopus 로고
    • Non-linear vibrations of cables in three dimensions. Part 1: Non-linear free vibrations
    • Takahashi, K., Konishi, Y.: Non-linear vibrations of cables in three dimensions. Part 1: Non-linear free vibrations. J. Sound Vib. 118, 69-84 (1987)
    • (1987) J. Sound Vib , vol.118 , pp. 69-84
    • Takahashi, K.1    Konishi, Y.2
  • 32
    • 0032157328 scopus 로고    scopus 로고
    • Active control of shallow, slack cable using the parametric control of end tension
    • Gehle, R.W., Masri, S.F.: Active control of shallow, slack cable using the parametric control of end tension. Nonlinear Dyn. 17, 77-94 (1998)
    • (1998) Nonlinear Dyn , vol.17 , pp. 77-94
    • Gehle, R.W.1    Masri, S.F.2
  • 33
    • 0040220102 scopus 로고    scopus 로고
    • Non-linear vibration of cable-damper systems. Part 1: Formulation
    • Yu, Z., Xu, Y.L.: Non-linear vibration of cable-damper systems. Part 1: Formulation. J. Sound Vib. 225, 447-463 (1999)
    • (1999) J. Sound Vib , vol.225 , pp. 447-463
    • Yu, Z.1    Xu, Y.L.2
  • 34
    • 9644294346 scopus 로고    scopus 로고
    • A non-linear model for the dynamics of an inclined cable
    • Berlioz, A., Lamarque, C.H.: A non-linear model for the dynamics of an inclined cable. J. Sound Vib. 279, 619-639 (2005)
    • (2005) J. Sound Vib , vol.279 , pp. 619-639
    • Berlioz, A.1    Lamarque, C.H.2
  • 35
    • 9644291695 scopus 로고    scopus 로고
    • Formulae for frequencies and modes of in-plane vibrations of small-sag inclined cables
    • Wu, Q., Takahashi, K., Nakamura, S.: Formulae for frequencies and modes of in-plane vibrations of small-sag inclined cables. J. Sound Vib. 279, 1155-1169 (2005)
    • (2005) J. Sound Vib , vol.279 , pp. 1155-1169
    • Wu, Q.1    Takahashi, K.2    Nakamura, S.3
  • 36
    • 3943076520 scopus 로고    scopus 로고
    • Non-linear normal modes of structural systems via asymptotic approach
    • Lacarbonara, W., Camillacci, R.: Non-linear normal modes of structural systems via asymptotic approach. Int. J. Solids Struct. 41, 5565-5594 (2004)
    • (2004) Int. J. Solids Struct , vol.41 , pp. 5565-5594
    • Lacarbonara, W.1    Camillacci, R.2


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