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Modeling and solution method for vibration transmission of multi-segment support thrust shafting with variable cross-section and variable stiffness
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Guo-cai CHEN1, Cai-yu YIN1, Ao JIA1, Yun-hui ZHANG1, Ming LIU2
Journal of Ship Mechanics | 2026, 30(8) : 1332 - 1343
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Journal of Ship Mechanics | 2026, 30(8): 1332-1343
• Structural Mechanics •
Modeling and solution method for vibration transmission of multi-segment support thrust shafting with variable cross-section and variable stiffness
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Guo-cai CHEN1, Cai-yu YIN1, Ao JIA1, Yun-hui ZHANG1, Ming LIU2
Affiliations
  • 1School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2Wuhan Second Ship Design and Research Institute, Wuhan 430061, China
Published: 2026-08-15 doi: 10.3969/j.issn.1007-7294.2026.08.010
Outline
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At present, submarine propulsion shafts are gradually developing towards shorter shafts, and they have features such as multi-segment, variable cross-section, and variable bearing oil-film stiffness. The existing analytical methods are mostly based on uniform beam theory, which has limitations in solving multi-segment and variable cross-section shaft systems. To address this issue, this paper proposes an analytical calculation method for the modal and vibration transmission of multi-segment, variable cross-section, and variable stiffness-supported propulsion shaft systems based on the Timoshenko beam vibration theory. This method has high solution efficiency and good agreement with finite element results. Based on this theoretical model and calculation method, the paper studies the influence of bearing stiffness variation, bearing simulation methods and bearing span on the vibration characteristics of complex propulsion shaft systems. The results show that this analytical method is highly practical and can effectively consider the influence of the variation in bearing oil film stiffness on the vibration of the shafting system. The main manifestation is that as the bearing speed and frequency increase, the bearing stiffness decreases and the natural frequency of the propeller shaft reduces. In addition, when modeling the shafting system, it is recommended that the number of simulated springs for the bearing be more than two, and the bearing span should not be too large. It should be selected based on the effective length of the actual bearing; otherwise, the deviation of each natural frequency will increase.

submarine  /  propulsion system  /  propulsion shaft  /  bearing
陈国彩, 殷彩玉, 贾敖, 张运辉, 刘明. 任意多段变截面变刚度支撑推进轴系振动传递建模及求解方法. 船舶力学, 2026 , 30 (8) : 1332 -1343 . DOI: 10.3969/j.issn.1007-7294.2026.08.010
Guo-cai CHEN, Cai-yu YIN, Ao JIA, Yun-hui ZHANG, Ming LIU. Modeling and solution method for vibration transmission of multi-segment support thrust shafting with variable cross-section and variable stiffness[J]. Journal of Ship Mechanics, 2026 , 30 (8) : 1332 -1343 . DOI: 10.3969/j.issn.1007-7294.2026.08.010
Year 2026 volume 30 Issue 8
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2
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Article Info
doi: 10.3969/j.issn.1007-7294.2026.08.010
  • Receive Date:2026-01-16
  • Online Date:2026-11-03
  • Published:2026-08-15
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  • Received:2026-01-16
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    1School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2Wuhan Second Ship Design and Research Institute, Wuhan 430061, China
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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
species (%)
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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