Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading
Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametri...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhao, Demin [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Ying yong shu xue he li xue / English edition - Shanghai University, 1980, 36(2015), 8 vom: Aug., Seite 1017-1032 |
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| Übergeordnetes Werk: |
volume:36 ; year:2015 ; number:8 ; month:08 ; pages:1017-1032 |
| Links: |
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| DOI / URN: |
10.1007/s10483-015-1960-7 |
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OLC2042874752 |
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| 245 | 1 | 0 | |a Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading |
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| 520 | |a Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. | ||
| 650 | 4 | |a thermal load | |
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| 700 | 1 | |a Liu, Jianlin |4 aut | |
| 700 | 1 | |a Wu, C. Q. |4 aut | |
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10.1007/s10483-015-1960-7 doi (DE-627)OLC2042874752 (DE-He213)s10483-015-1960-7-p DE-627 ger DE-627 rakwb eng 510 VZ Zhao, Demin verfasserin aut Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. thermal load parameter excited local bifurcation unfolding parameter space physical parameter space Liu, Jianlin aut Wu, C. Q. aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1017-1032 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1017-1032 https://doi.org/10.1007/s10483-015-1960-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1017-1032 |
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10.1007/s10483-015-1960-7 doi (DE-627)OLC2042874752 (DE-He213)s10483-015-1960-7-p DE-627 ger DE-627 rakwb eng 510 VZ Zhao, Demin verfasserin aut Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. thermal load parameter excited local bifurcation unfolding parameter space physical parameter space Liu, Jianlin aut Wu, C. Q. aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1017-1032 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1017-1032 https://doi.org/10.1007/s10483-015-1960-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1017-1032 |
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10.1007/s10483-015-1960-7 doi (DE-627)OLC2042874752 (DE-He213)s10483-015-1960-7-p DE-627 ger DE-627 rakwb eng 510 VZ Zhao, Demin verfasserin aut Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. thermal load parameter excited local bifurcation unfolding parameter space physical parameter space Liu, Jianlin aut Wu, C. Q. aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1017-1032 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1017-1032 https://doi.org/10.1007/s10483-015-1960-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1017-1032 |
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10.1007/s10483-015-1960-7 doi (DE-627)OLC2042874752 (DE-He213)s10483-015-1960-7-p DE-627 ger DE-627 rakwb eng 510 VZ Zhao, Demin verfasserin aut Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. thermal load parameter excited local bifurcation unfolding parameter space physical parameter space Liu, Jianlin aut Wu, C. Q. aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1017-1032 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1017-1032 https://doi.org/10.1007/s10483-015-1960-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1017-1032 |
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10.1007/s10483-015-1960-7 doi (DE-627)OLC2042874752 (DE-He213)s10483-015-1960-7-p DE-627 ger DE-627 rakwb eng 510 VZ Zhao, Demin verfasserin aut Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. thermal load parameter excited local bifurcation unfolding parameter space physical parameter space Liu, Jianlin aut Wu, C. Q. aut Enthalten in Ying yong shu xue he li xue / English edition Shanghai University, 1980 36(2015), 8 vom: Aug., Seite 1017-1032 (DE-627)130523747 (DE-600)770632-7 (DE-576)016095987 0253-4827 nnns volume:36 year:2015 number:8 month:08 pages:1017-1032 https://doi.org/10.1007/s10483-015-1960-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 36 2015 8 08 1017-1032 |
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stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading |
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Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading |
| abstract |
Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
| abstractGer |
Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
| abstract_unstemmed |
Abstract The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability. © Shanghai University and Springer-Verlag Berlin Heidelberg 2015 |
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Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading |
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https://doi.org/10.1007/s10483-015-1960-7 |
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Liu, Jianlin Wu, C. Q. |
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10.1007/s10483-015-1960-7 |
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2024-07-03T17:00:55.815Z |
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