Impulsive vibration mitigation through a nonlinear tuned vibration absorber
Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic...
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| Autor*in: |
Habib, Giuseppe [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 98(2019), 3 vom: Nov., Seite 2115-2130 |
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| Übergeordnetes Werk: |
volume:98 ; year:2019 ; number:3 ; month:11 ; pages:2115-2130 |
| Links: |
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| DOI / URN: |
10.1007/s11071-019-05312-y |
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| Katalog-ID: |
OLC2051142068 |
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| 520 | |a Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. | ||
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| 700 | 1 | |a Papp, Bálint |4 aut | |
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10.1007/s11071-019-05312-y doi (DE-627)OLC2051142068 (DE-He213)s11071-019-05312-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Habib, Giuseppe verfasserin (orcid)0000-0003-3323-6901 aut Impulsive vibration mitigation through a nonlinear tuned vibration absorber 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. Nonlinear tuned vibration absorber Nonlinear vibration absorber Nonlinear tuned mass damper Invariant manifold Transient dynamics Kádár, Fanni aut Papp, Bálint aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 98(2019), 3 vom: Nov., Seite 2115-2130 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:98 year:2019 number:3 month:11 pages:2115-2130 https://doi.org/10.1007/s11071-019-05312-y 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_70 AR 98 2019 3 11 2115-2130 |
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10.1007/s11071-019-05312-y doi (DE-627)OLC2051142068 (DE-He213)s11071-019-05312-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Habib, Giuseppe verfasserin (orcid)0000-0003-3323-6901 aut Impulsive vibration mitigation through a nonlinear tuned vibration absorber 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. Nonlinear tuned vibration absorber Nonlinear vibration absorber Nonlinear tuned mass damper Invariant manifold Transient dynamics Kádár, Fanni aut Papp, Bálint aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 98(2019), 3 vom: Nov., Seite 2115-2130 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:98 year:2019 number:3 month:11 pages:2115-2130 https://doi.org/10.1007/s11071-019-05312-y 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_70 AR 98 2019 3 11 2115-2130 |
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10.1007/s11071-019-05312-y doi (DE-627)OLC2051142068 (DE-He213)s11071-019-05312-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Habib, Giuseppe verfasserin (orcid)0000-0003-3323-6901 aut Impulsive vibration mitigation through a nonlinear tuned vibration absorber 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. Nonlinear tuned vibration absorber Nonlinear vibration absorber Nonlinear tuned mass damper Invariant manifold Transient dynamics Kádár, Fanni aut Papp, Bálint aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 98(2019), 3 vom: Nov., Seite 2115-2130 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:98 year:2019 number:3 month:11 pages:2115-2130 https://doi.org/10.1007/s11071-019-05312-y 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_70 AR 98 2019 3 11 2115-2130 |
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10.1007/s11071-019-05312-y doi (DE-627)OLC2051142068 (DE-He213)s11071-019-05312-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Habib, Giuseppe verfasserin (orcid)0000-0003-3323-6901 aut Impulsive vibration mitigation through a nonlinear tuned vibration absorber 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. Nonlinear tuned vibration absorber Nonlinear vibration absorber Nonlinear tuned mass damper Invariant manifold Transient dynamics Kádár, Fanni aut Papp, Bálint aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 98(2019), 3 vom: Nov., Seite 2115-2130 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:98 year:2019 number:3 month:11 pages:2115-2130 https://doi.org/10.1007/s11071-019-05312-y 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_70 AR 98 2019 3 11 2115-2130 |
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10.1007/s11071-019-05312-y doi (DE-627)OLC2051142068 (DE-He213)s11071-019-05312-y-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Habib, Giuseppe verfasserin (orcid)0000-0003-3323-6901 aut Impulsive vibration mitigation through a nonlinear tuned vibration absorber 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. Nonlinear tuned vibration absorber Nonlinear vibration absorber Nonlinear tuned mass damper Invariant manifold Transient dynamics Kádár, Fanni aut Papp, Bálint aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 98(2019), 3 vom: Nov., Seite 2115-2130 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:98 year:2019 number:3 month:11 pages:2115-2130 https://doi.org/10.1007/s11071-019-05312-y 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_70 AR 98 2019 3 11 2115-2130 |
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Impulsive vibration mitigation through a nonlinear tuned vibration absorber |
| abstract |
Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. © The Author(s) 2019 |
| abstractGer |
Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. © The Author(s) 2019 |
| abstract_unstemmed |
Abstract The dynamics of a nonlinear passive vibration absorber conceived to mitigate vibrations of a nonlinear host structure is considered in this paper. The system under study is composed of a primary system, consisting of an undamped nonlinear oscillator of Duffing type, and a nonlinear dynamic vibration absorber, denominated nonlinear tuned vibration absorber (NLTVA). The NLTVA consists of a small mass, attached to the host structure through a linear damper, a linear and a cubic spring. The host structure is subject to free vibrations and the performance of the NLTVA is evaluated with respect to the minimal time required to dissipate a specific amount of the mechanical energy of the system. In order to characterize the dynamics of the system, a combination of numerical and analytical techniques is implemented. In particular, on the basis of the first-order reduced model, slow invariant manifolds of the transient dynamics are identified, which enable to estimate the absorber performance. Results illustrate that two different dynamical paths exist and the system can undergo either of them, depending on the initial conditions and on the value of the absorber nonlinear stiffness coefficient. One path leads to a very fast vibration mitigation, and therefore to a favorable behavior, while the other one causes a very slow energy dissipation. © The Author(s) 2019 |
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3 |
| title_short |
Impulsive vibration mitigation through a nonlinear tuned vibration absorber |
| url |
https://doi.org/10.1007/s11071-019-05312-y |
| remote_bool |
false |
| author2 |
Kádár, Fanni Papp, Bálint |
| author2Str |
Kádár, Fanni Papp, Bálint |
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130936782 |
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| doi_str |
10.1007/s11071-019-05312-y |
| up_date |
2024-07-04T03:40:46.810Z |
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