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.
| 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 |