Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity
A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and...
Ausführliche Beschreibung
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| Autor*in: |
Tan, Lei [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Umfang: |
12 |
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| Übergeordnetes Werk: |
Enthalten in: In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites - Zhuang, Lei ELSEVIER, 2016transfer abstract, Singapore |
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| Übergeordnetes Werk: |
volume:29 ; year:2017 ; number:5 ; pages:805-816 ; extent:12 |
| Links: |
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| DOI / URN: |
10.1016/S1001-6058(16)60792-8 |
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ELV025449923 |
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| 520 | |a A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. | ||
| 520 | |a A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. | ||
| 650 | 7 | |a energy dissipation |2 Elsevier | |
| 650 | 7 | |a Water wave |2 Elsevier | |
| 650 | 7 | |a fluid resonance |2 Elsevier | |
| 650 | 7 | |a artificial damping |2 Elsevier | |
| 650 | 7 | |a narrow gap |2 Elsevier | |
| 700 | 1 | |a Tang, Guo-qiang |4 oth | |
| 700 | 1 | |a Zhou, Zhong-bing |4 oth | |
| 700 | 1 | |a Cheng, Liang |4 oth | |
| 700 | 1 | |a Chen, Xiaobo |4 oth | |
| 700 | 1 | |a Lu, Lin |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Springer Singapore |a Zhuang, Lei ELSEVIER |t In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites |d 2016transfer abstract |g Singapore |w (DE-627)ELV014303124 |
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10.1016/S1001-6058(16)60792-8 doi GBVA2017016000005.pica (DE-627)ELV025449923 (ELSEVIER)S1001-6058(16)60792-8 DE-627 ger DE-627 rakwb eng 550 550 DE-600 670 VZ 540 VZ 630 VZ Tan, Lei verfasserin aut Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. energy dissipation Elsevier Water wave Elsevier fluid resonance Elsevier artificial damping Elsevier narrow gap Elsevier Tang, Guo-qiang oth Zhou, Zhong-bing oth Cheng, Liang oth Chen, Xiaobo oth Lu, Lin oth Enthalten in Springer Singapore Zhuang, Lei ELSEVIER In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites 2016transfer abstract Singapore (DE-627)ELV014303124 volume:29 year:2017 number:5 pages:805-816 extent:12 https://doi.org/10.1016/S1001-6058(16)60792-8 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 AR 29 2017 5 805-816 12 045F 550 |
| spelling |
10.1016/S1001-6058(16)60792-8 doi GBVA2017016000005.pica (DE-627)ELV025449923 (ELSEVIER)S1001-6058(16)60792-8 DE-627 ger DE-627 rakwb eng 550 550 DE-600 670 VZ 540 VZ 630 VZ Tan, Lei verfasserin aut Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. energy dissipation Elsevier Water wave Elsevier fluid resonance Elsevier artificial damping Elsevier narrow gap Elsevier Tang, Guo-qiang oth Zhou, Zhong-bing oth Cheng, Liang oth Chen, Xiaobo oth Lu, Lin oth Enthalten in Springer Singapore Zhuang, Lei ELSEVIER In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites 2016transfer abstract Singapore (DE-627)ELV014303124 volume:29 year:2017 number:5 pages:805-816 extent:12 https://doi.org/10.1016/S1001-6058(16)60792-8 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 AR 29 2017 5 805-816 12 045F 550 |
| allfields_unstemmed |
10.1016/S1001-6058(16)60792-8 doi GBVA2017016000005.pica (DE-627)ELV025449923 (ELSEVIER)S1001-6058(16)60792-8 DE-627 ger DE-627 rakwb eng 550 550 DE-600 670 VZ 540 VZ 630 VZ Tan, Lei verfasserin aut Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. energy dissipation Elsevier Water wave Elsevier fluid resonance Elsevier artificial damping Elsevier narrow gap Elsevier Tang, Guo-qiang oth Zhou, Zhong-bing oth Cheng, Liang oth Chen, Xiaobo oth Lu, Lin oth Enthalten in Springer Singapore Zhuang, Lei ELSEVIER In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites 2016transfer abstract Singapore (DE-627)ELV014303124 volume:29 year:2017 number:5 pages:805-816 extent:12 https://doi.org/10.1016/S1001-6058(16)60792-8 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 AR 29 2017 5 805-816 12 045F 550 |
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10.1016/S1001-6058(16)60792-8 doi GBVA2017016000005.pica (DE-627)ELV025449923 (ELSEVIER)S1001-6058(16)60792-8 DE-627 ger DE-627 rakwb eng 550 550 DE-600 670 VZ 540 VZ 630 VZ Tan, Lei verfasserin aut Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. energy dissipation Elsevier Water wave Elsevier fluid resonance Elsevier artificial damping Elsevier narrow gap Elsevier Tang, Guo-qiang oth Zhou, Zhong-bing oth Cheng, Liang oth Chen, Xiaobo oth Lu, Lin oth Enthalten in Springer Singapore Zhuang, Lei ELSEVIER In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites 2016transfer abstract Singapore (DE-627)ELV014303124 volume:29 year:2017 number:5 pages:805-816 extent:12 https://doi.org/10.1016/S1001-6058(16)60792-8 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 AR 29 2017 5 805-816 12 045F 550 |
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10.1016/S1001-6058(16)60792-8 doi GBVA2017016000005.pica (DE-627)ELV025449923 (ELSEVIER)S1001-6058(16)60792-8 DE-627 ger DE-627 rakwb eng 550 550 DE-600 670 VZ 540 VZ 630 VZ Tan, Lei verfasserin aut Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. energy dissipation Elsevier Water wave Elsevier fluid resonance Elsevier artificial damping Elsevier narrow gap Elsevier Tang, Guo-qiang oth Zhou, Zhong-bing oth Cheng, Liang oth Chen, Xiaobo oth Lu, Lin oth Enthalten in Springer Singapore Zhuang, Lei ELSEVIER In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites 2016transfer abstract Singapore (DE-627)ELV014303124 volume:29 year:2017 number:5 pages:805-816 extent:12 https://doi.org/10.1016/S1001-6058(16)60792-8 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 AR 29 2017 5 805-816 12 045F 550 |
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Enthalten in In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites Singapore volume:29 year:2017 number:5 pages:805-816 extent:12 |
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Enthalten in In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites Singapore volume:29 year:2017 number:5 pages:805-816 extent:12 |
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In-situ PIP-SiC NWs-toughened SiC–CrSi2–Cr3C2–MoSi2–Mo2C coating for oxidation protection of carbon/carbon composites |
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Tan, Lei @@aut@@ Tang, Guo-qiang @@oth@@ Zhou, Zhong-bing @@oth@@ Cheng, Liang @@oth@@ Chen, Xiaobo @@oth@@ Lu, Lin @@oth@@ |
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The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. 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theoretical and numerical investigations of wave resonance between two floating bodies in close proximity |
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Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity |
| abstract |
A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. |
| abstractGer |
A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. |
| abstract_unstemmed |
A simple theoretical dynamic model with a linearized damping coefficient is proposed for the gap resonance problem, as often referred to as the piston mode wave motion in a narrow gap formed by floating bodies. The relationship among the resonant response amplitude and frequency, the reflection and transmission coefficients, the gap width, and the damping coefficient is obtained. A quantitative link between the damping coefficient of the theoretical dynamic model (ɛ) and that devised for the modified potential flow model (u p) is established, namely, u p = 3πɛω (where ω n is the natural frequency). This link clarifies the physical meaning of the damping term introduced into the modified potential flow model. A new explicit approach to determine the damping coefficient for the modified potential model is proposed, without resorting to numerically tuning the damping coefficient by trial and error tests. The effects of the body breadth ratio on the characteristics of the gap resonance are numerically investigated by using both the modified potential flow model and the viscous RNG turbulent model. It is found that the body breadth ratio has a significant nonlinear influence on the resonant wave amplitude and the resonant frequency. With the modified potential flow model with the explicit damping coefficient, reasonable predictions are made in good agreement with the numerical solutions of the viscous fluid model. |
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Theoretical and numerical investigations of wave resonance between two floating bodies in close proximity |
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