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Analysis of vibration characteristics of rectangular plates excited by turbulent boundary layer under flexible boundary constraints
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Cheng ZHANG1, 3, Tian-yun LI1, 2, 3, Xiang ZHU1, 2, 3, Bao-you SHANG1, 3
Journal of Ship Mechanics | 2025, 29(8) : 1309 - 1318
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Journal of Ship Mechanics | 2025, 29(8): 1309-1318
• Hydro/Structural Acoustics •
Analysis of vibration characteristics of rectangular plates excited by turbulent boundary layer under flexible boundary constraints
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Cheng ZHANG1, 3, Tian-yun LI1, 2, 3, Xiang ZHU1, 2, 3, Bao-you SHANG1, 3
Affiliations
  • 1.School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2.Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), Shanghai 200240, China
  • 3.Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics (HUST), Wuhan 430074, China
Published: 2025-08-20 doi: 10.3969/j.issn.1007-7294.2025.08.013
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The flexible boundary constraints have a significant effect on the vibration characteristics of rectangular stiffened plates excited by turbulent boundary layer. In this paper, springs were used to simulate flexible boundary constraints. The response function of an underwater rectangular plate was derived based on the energy principle, combined with the power spectra density expression caused by turbulent boundary layer, and the power spectral density of the plate velocity was obtained. It is shown that the boundary spring stiffness has an effect on the response of the plate. As the spring stiffness of the boundary displacement increases, the vibration response of the plate at low frequencies decreases. The effect of the boundary spring stiffness on the vibration response of plate excited by TBL converges when the boundary displacement spring stiffness kd is larger than 1010 N/m2. The effect of stiffened rib direction and the number of stiffened ribs on the vibration response of stiffened plate was also studied in this paper. Compared with an unreinforced plate, the vibration response of a stiffened plate at low frequency was effectively reduced. The results can serve as a theoretical reference for the analysis of the vibration characteristics of rectangular stiffened plates excited by turbulent boundary layer under flexible boundary constraints.

turbulent boundary layer  /  vibration of plate  /  flexible boundary constraint  /  acoustics-vibration coupling
Cheng ZHANG, Tian-yun LI, Xiang ZHU, Bao-you SHANG. Analysis of vibration characteristics of rectangular plates excited by turbulent boundary layer under flexible boundary constraints[J]. Journal of Ship Mechanics, 2025 , 29 (8) : 1309 -1318 . DOI: 10.3969/j.issn.1007-7294.2025.08.013
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Article Info
doi: 10.3969/j.issn.1007-7294.2025.08.013
  • Receive Date：2025-02-19
  • Online Date：2026-03-26
  • Published：2025-08-20
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  • Received：2025-02-19
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Affiliations
    1.School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2.Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), Shanghai 200240, China
    3.Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics (HUST), Wuhan 430074, China
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https://castjournals.cast.org.cn/joweb/cblx/EN/10.3969/j.issn.1007-7294.2025.08.013
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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