Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control
Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhance...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gattulli, Vincenzo [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1997 |
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| Anmerkung: |
© Kluwer Academic Publishers 1997 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Kluwer Academic Publishers, 1990, 14(1997), 2 vom: Okt., Seite 139-156 |
|---|---|
| Übergeordnetes Werk: |
volume:14 ; year:1997 ; number:2 ; month:10 ; pages:139-156 |
| Links: |
|---|
| DOI / URN: |
10.1023/A:1008255409438 |
|---|
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OLC2051073368 |
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| 520 | |a Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. | ||
| 700 | 1 | |a Pasca, Monica |4 aut | |
| 700 | 1 | |a Vestroni, Fabrizio |4 aut | |
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10.1023/A:1008255409438 doi (DE-627)OLC2051073368 (DE-He213)A:1008255409438-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Gattulli, Vincenzo verfasserin aut Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1997 Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. Pasca, Monica aut Vestroni, Fabrizio aut Enthalten in Nonlinear dynamics Kluwer Academic Publishers, 1990 14(1997), 2 vom: Okt., Seite 139-156 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:14 year:1997 number:2 month:10 pages:139-156 https://doi.org/10.1023/A:1008255409438 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 AR 14 1997 2 10 139-156 |
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10.1023/A:1008255409438 doi (DE-627)OLC2051073368 (DE-He213)A:1008255409438-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Gattulli, Vincenzo verfasserin aut Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1997 Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. Pasca, Monica aut Vestroni, Fabrizio aut Enthalten in Nonlinear dynamics Kluwer Academic Publishers, 1990 14(1997), 2 vom: Okt., Seite 139-156 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:14 year:1997 number:2 month:10 pages:139-156 https://doi.org/10.1023/A:1008255409438 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 AR 14 1997 2 10 139-156 |
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10.1023/A:1008255409438 doi (DE-627)OLC2051073368 (DE-He213)A:1008255409438-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Gattulli, Vincenzo verfasserin aut Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1997 Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. Pasca, Monica aut Vestroni, Fabrizio aut Enthalten in Nonlinear dynamics Kluwer Academic Publishers, 1990 14(1997), 2 vom: Okt., Seite 139-156 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:14 year:1997 number:2 month:10 pages:139-156 https://doi.org/10.1023/A:1008255409438 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 AR 14 1997 2 10 139-156 |
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10.1023/A:1008255409438 doi (DE-627)OLC2051073368 (DE-He213)A:1008255409438-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Gattulli, Vincenzo verfasserin aut Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1997 Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. Pasca, Monica aut Vestroni, Fabrizio aut Enthalten in Nonlinear dynamics Kluwer Academic Publishers, 1990 14(1997), 2 vom: Okt., Seite 139-156 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:14 year:1997 number:2 month:10 pages:139-156 https://doi.org/10.1023/A:1008255409438 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 AR 14 1997 2 10 139-156 |
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10.1023/A:1008255409438 doi (DE-627)OLC2051073368 (DE-He213)A:1008255409438-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Gattulli, Vincenzo verfasserin aut Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control 1997 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1997 Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. Pasca, Monica aut Vestroni, Fabrizio aut Enthalten in Nonlinear dynamics Kluwer Academic Publishers, 1990 14(1997), 2 vom: Okt., Seite 139-156 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:14 year:1997 number:2 month:10 pages:139-156 https://doi.org/10.1023/A:1008255409438 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 AR 14 1997 2 10 139-156 |
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Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control |
| abstract |
Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. © Kluwer Academic Publishers 1997 |
| abstractGer |
Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. © Kluwer Academic Publishers 1997 |
| abstract_unstemmed |
Abstract The nonlinear oscillations of a controlled suspended elastic cable under in-plane excitation are considered. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are investigated using a two degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance. The analysis is extended to the bifurcated two-mode steady-state oscillations in the region of parametric excitation. The dependence of the control effectiveness on the system parameters is investigated in the case of the first symmetric mode and the range of oscillation amplitudes in which the proposed control ensures a dissipation of energy is determined. Although control based only on in-plane response quantities is effective in reducing oscillations with a prevailing in-plane component, addition of out-of-plane measures has to be considered when the motion is characterized by two comparable components. © Kluwer Academic Publishers 1997 |
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| title_short |
Nonlinear Oscillations of a Nonresonant Cable under In-Plane Excitation with a Longitudinal Control |
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https://doi.org/10.1023/A:1008255409438 |
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Pasca, Monica Vestroni, Fabrizio |
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Pasca, Monica Vestroni, Fabrizio |
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130936782 |
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10.1023/A:1008255409438 |
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2024-07-04T03:31:31.624Z |
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