Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation
Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Jinhai [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V., part of Springer Nature 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 93(2018), 2 vom: 14. Mai, Seite 463-485 |
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| Übergeordnetes Werk: |
volume:93 ; year:2018 ; number:2 ; day:14 ; month:05 ; pages:463-485 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11071-018-4204-3 |
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OLC205113197X |
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| 520 | |a Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. | ||
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10.1007/s11071-018-4204-3 doi (DE-627)OLC205113197X (DE-He213)s11071-018-4204-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Jinhai verfasserin aut Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. Time-varying stochastic system Quasi-static analysis Gear system Nonlinear dynamics Railway vehicle gearbox Yang, Jianwei aut Li, Qiang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 93(2018), 2 vom: 14. Mai, Seite 463-485 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:93 year:2018 number:2 day:14 month:05 pages:463-485 https://doi.org/10.1007/s11071-018-4204-3 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 93 2018 2 14 05 463-485 |
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10.1007/s11071-018-4204-3 doi (DE-627)OLC205113197X (DE-He213)s11071-018-4204-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Jinhai verfasserin aut Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. Time-varying stochastic system Quasi-static analysis Gear system Nonlinear dynamics Railway vehicle gearbox Yang, Jianwei aut Li, Qiang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 93(2018), 2 vom: 14. Mai, Seite 463-485 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:93 year:2018 number:2 day:14 month:05 pages:463-485 https://doi.org/10.1007/s11071-018-4204-3 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 93 2018 2 14 05 463-485 |
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10.1007/s11071-018-4204-3 doi (DE-627)OLC205113197X (DE-He213)s11071-018-4204-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Jinhai verfasserin aut Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. Time-varying stochastic system Quasi-static analysis Gear system Nonlinear dynamics Railway vehicle gearbox Yang, Jianwei aut Li, Qiang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 93(2018), 2 vom: 14. Mai, Seite 463-485 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:93 year:2018 number:2 day:14 month:05 pages:463-485 https://doi.org/10.1007/s11071-018-4204-3 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 93 2018 2 14 05 463-485 |
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10.1007/s11071-018-4204-3 doi (DE-627)OLC205113197X (DE-He213)s11071-018-4204-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Jinhai verfasserin aut Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. Time-varying stochastic system Quasi-static analysis Gear system Nonlinear dynamics Railway vehicle gearbox Yang, Jianwei aut Li, Qiang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 93(2018), 2 vom: 14. Mai, Seite 463-485 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:93 year:2018 number:2 day:14 month:05 pages:463-485 https://doi.org/10.1007/s11071-018-4204-3 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 93 2018 2 14 05 463-485 |
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10.1007/s11071-018-4204-3 doi (DE-627)OLC205113197X (DE-He213)s11071-018-4204-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Wang, Jinhai verfasserin aut Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. Time-varying stochastic system Quasi-static analysis Gear system Nonlinear dynamics Railway vehicle gearbox Yang, Jianwei aut Li, Qiang aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 93(2018), 2 vom: 14. Mai, Seite 463-485 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:93 year:2018 number:2 day:14 month:05 pages:463-485 https://doi.org/10.1007/s11071-018-4204-3 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 93 2018 2 14 05 463-485 |
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| doi_str_mv |
10.1007/s11071-018-4204-3 |
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| title_sort |
quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation |
| title_auth |
Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation |
| abstract |
Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. © Springer Science+Business Media B.V., part of Springer Nature 2018 |
| abstractGer |
Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. © Springer Science+Business Media B.V., part of Springer Nature 2018 |
| abstract_unstemmed |
Abstract The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system. © Springer Science+Business Media B.V., part of Springer Nature 2018 |
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Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation |
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https://doi.org/10.1007/s11071-018-4204-3 |
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Yang, Jianwei Li, Qiang |
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