Abstract
The effectiveness of a hybrid control policy in mitigating the linear and non-linear multimodal cable vibrations is investigated by means of a numerical analysis and a campaign of laboratory tests. The proposed control method is a hybrid solution combining wrapped shape memory alloy wires and an open-loop actuation. By operating in this way, a robust and economical control strategy is obtained which overcomes the damper/actuator localization and the state-tracking difficulties that significantly impair the overall control effectiveness of most of the control solutions already investigated in the literature. The proposed approach has shown, in a separate study, promising vibration mitigation capabilities when the motion was essentially dominated by the first in-plane mode. Here, the capability of the hybrid control policy in mitigating also the nonlinear vibrations of the second in-plane mode is under specific investigation.
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References
Cluni F, Gusella V, Ubertini F (2007) A parametric investigation of wind-induced cable fatigue. Eng Struct 29(11):3094–3105
Luongo A, Rega G, Vestroni F (1984) Parametric analysis of large amplitude free vibrations of a suspended cable. Int J Solids Struct 20:95–105
Benedettini F, Rega G (1989) Planar non-linear oscillations of elastic cables under superharmonic resonance conditions. J Sound Vib 132:353–366
Benedettini F, Rega G (1989) Planar non-linear oscillations of elastic cables under subharmonic resonance conditions. J Sound Vib 132:367–381
Benedettini F, Rega G (1990) Numerical simulations of chaotic dynamics in a model of an elastic cable. Nonlinear Dyn 1:23–28
Benedettini F, Rega G, Alaggio R (1995) Nonlinear oscillations of a four-degree of freedom model of a suspended cable under multiple internal resonance conditions. J Sound Vib 182:775–798
Arafat HN, Nayfeh AH (2002) Nonlinear responses of suspended cables to primary resonance excitations. J Sound Vib 266:325–354
Nayfeh AH, Arafat HN, Chin CM, Lacarbonara W (2002) Multimode interactions in suspended cables. J Vib Control 8:337–387
Srinil N, Rega G (2007) Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: Theoretical formulation and model validation. Nonlinear Dyn 48(3):231–252
Srinil N, Rega G (2007) Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: Internal resonance activation, reduced order models and nonlinear normal modes. Nonlinear Dyn 48(3):253–274
Rega G (2004) Nonlinear vibrations of suspended cables, Part I: Modelling and analysis. Appl Mech Rev 57:443–478
Rega G (2004) Nonlinear vibrations of suspended cables, Part II: Deterministic phenomena. Appl Mech Rev 57:479–514
Ubertini F (2008) Active feedback control for cable vibrations. Smart Struct Syst 4(4):407–428
Li H, Liu M, Ou J (2004) Vibration mitigation of a stay cable with one shape memory alloy damper. Struct Control Heal Monit 11(1):21–36
Wang XY, Ni YQ, Ko JM, Chen ZQ (2005) Optimal design of viscous dampers for multi-mode vibration control of bridge cables. Eng Struct 27(5):792–800
Casciati F, Faravelli L, Fuggini C (2008) Cable vibration mitigation by added SMA wires. Acta Mech 195:141–155
Casciati F, Magonette G, Marazzi F (2006) Technology of semiactive devices and applications in vibration mitigation. Wiley, Chichester
Johnson EA, Baker GA, Spencer BF, Fujino Y (2000) Mitigation stay cable oscillation using semi-active damping. Smart structures and materials: smart systems for bridges, structures and highways. Proc SPIE 3988:207–216
Johnson EA, Spencer BF, Fujino Y (2002) Semi-active damping of stay cables. J Eng Mech 1–4
Johnson EA, Christenson RE, Spencer BF (2003) Semiactive damping of cables with sag. Comput Aided Civil Infrastruct Eng 18(2):132–146
Abdel-Rohman M, Spencer BF (2004) Control of wind-induced nonlinear oscillations in suspended cables. Nonlinear Dyn 37:341–355
Zhou Q, Nielsen SRK, Qu WL (2006) Semi-active control of three-dimensional vibrations of an inclined sag cable with magnetorheological dampers. J Sound Vib 296:1–22
Xu YL, Zhou HJ (2007) Damping cable vibration for a cable-stayed bridge using adjustable fluid dampers. J Sound Vib 306(1–2):349–360
Ying ZG, Ni YQ, Ko JM (2007) Parametrically excited instability analysis of a semi-actively controlled cable. Eng Struct 29(4):567–575
Casciati F, Ubertini F (2008) Nonlinear vibration of shallow cables with semiactive tuned mass damper. Nonlinear Dyn 53:89–106
Faravelli L, Ubertini F (2009) Nonlinear state observation for cable dynamics. J Vib Control 15(7):1049–1077
Gattulli V, Pasca M, Vestroni F (1997) Nonlinear oscillations of a non-resonant cable under in-plane excitation with a longitudinal control. Nonlinear Dyn 14:139–156
Pasca M, Vestroni F, Gattulli V (1998) Active longitudinal control of wind-induced oscillations of a suspended cable. Meccanica 33(3):255–266
Gattulli V, Vestroni F (2000) Nonlinear strategies for longitudinal control in the stabilization of an oscillating suspended cable. Dyn Control 2000:359–374
Gattulli V, Alaggio R, Potenza F (2008) Analytical prediction and experimental validation for longitudinal control of cable oscillations. Int J Nonlinear Mech 43:36–52
Faravelli L, Fuggini C, Ubertini F (2009) Toward a hybrid control solution for cable dynamics: theoretical prediction and experimental validation. Struct Control Heal Monit 17(4):386–403
Lenci S, Rega G (2004) A unified control framework of the non-regular dynamics of mechanical oscillators. J Sound Vib 278:1051–1080
Rega G, Lenci S (2008) Dynamical integrity and control of nonlinear mechanical oscillators. J Vib Control 14: 159–179
Vakakis AF, Gendelman OV (2008) Nonlinear targeted energy transfer in mechanical and structural systems. Springer, Berlin
Gattulli V, Martinelli L, Perotti F, Vestroni F (2004) Nonlinear oscillations of cables under harmonic loading by analytical and finite element models. Comput Meth Appl Mech Eng 193:69–85
Irvine HM, Caughey TK (1974) The linear theory of free vibrations of suspended cables. Proc R Soc Lond 341: 299–315
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Faravelli, L., Fuggini, C. & Ubertini, F. Experimental study on hybrid control of multimodal cable vibrations. Meccanica 46, 1073–1084 (2011). https://doi.org/10.1007/s11012-010-9364-2
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DOI: https://doi.org/10.1007/s11012-010-9364-2