唐波, 周生俊, 杨振锦, 等. 在潜器中加装浮力材料以提升水下初横稳心高的敷设位置研究[J]. 中国舰船研究, 2022, 17(增刊 1): 1–9, 65. doi: 10.19693/j.issn.1673-3185.02579
引用本文: 唐波, 周生俊, 杨振锦, 等. 在潜器中加装浮力材料以提升水下初横稳心高的敷设位置研究[J]. 中国舰船研究, 2022, 17(增刊 1): 1–9, 65. doi: 10.19693/j.issn.1673-3185.02579
TANG B, ZHOU S J, YANG Z J, et al. Layout research of buoyant material used in submersible to improve its underwater initial transverse metacentric height[J]. Chinese Journal of Ship Research, 2022, 17(Supp 1): 1–9, 65. doi: 10.19693/j.issn.1673-3185.02579
Citation: TANG B, ZHOU S J, YANG Z J, et al. Layout research of buoyant material used in submersible to improve its underwater initial transverse metacentric height[J]. Chinese Journal of Ship Research, 2022, 17(Supp 1): 1–9, 65. doi: 10.19693/j.issn.1673-3185.02579

在潜器中加装浮力材料以提升水下初横稳心高的敷设位置研究

Layout research of buoyant material used in submersible to improve its underwater initial transverse metacentric height

  • 摘要:
      目的  为了解决在潜器中敷设浮力材料以提升水下初横稳心高尚无定量指导依据的问题,在推导得到浮力材料敷设的临界高度计算公式的基础上,计算确定浮力材料应敷设的垂向高度,并据此进一步给出浮力材料和压载铁敷设的纵向位置建议。
      方法  首先,通过推导敷设浮力材料后的全船初横稳心高函数,利用偏微分的数学方法得到浮力材料体积、重心等对稳性的影响方式;然后,通过等价代换的数学手段得到稳性变化临界情况下浮力材料重心理论高度计算式;最后,为了更好地研究和理解这一临界高度计算公式以及其他参数如排水量、敷设前稳心高等的影响,构建典型浮力材料敷设剖面的数学模型,并进行多算例对比分析研究。
      结果  结果显示,所设计算例中初横稳性高最好可提升约1.8%,若进一步放开纵横垂向的限制,或将获得更优结果。
      结论  所做研究可直接指导浮力材料敷设方案,所得到的一些对工程实际有重要意义、简便实用的浮力材料敷设原则,可供设计人员参考使用。

     

    Abstract:
      Objective  In order to provide a quantitative basis for the layout of buoyant material in a submersible to improve its initial transverse metacentric height, this paper attempts to obtain the critical height equation of buoyant material through analytic derivation, and proposes layout schemes and suggestions on this basis.
      Methods  By deriving the initial transverse metacentric height equation after adding buoyant material in combination with the partial derivatives method, such factors as buoyant material volume and gravity center are analyzed, and the buoyant material critical height equation is obtained through equivalent substitution. To gain a better understanding of the critical height equation and other factors that can affect the results such as displacement and transverse metacentric height before the installation of the buoyant material, an equivalent mathematical model of a typical transverse section of a submersible is constructed, and different numerical examples are studied by comparison.
      Results  It is concluded that the initial transverse metacentric height of a superior scheme can be 1.8% higher compared to pre-installation conditions. It is also likely that much better initial transverse metacentric height could be achieved if the 3D districts were released.
      Conclusions  The results of this study can improve the initial transverse metacentric height of submersibles. The proposed equation is key to a buoyant material layout scheme. In addition, several layout principles are put forward to help designers when incorporating buoyant material into submersible design.

     

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