Journal of South China University of Technology(Natural Science) >
Floating State Calculation Method of Multi-Convex Structure Considering the Influence of Free Liquid Level
Received date: 2023-04-10
Online published: 2023-08-29
Supported by
the National Natural Science Foundation of China(51709118);the Special Fund for Promoting High-Quality Economic Development （Marine Economic Development） Key Project of Guangdong Province(GDNRC［2021］39)
In view of the influence of free surface in tank on floating state and stability, this paper proposed a new floating state algorithm of multi-convex composite structure. The floating body and the liquid tank were decomposed into multiple tetrahedral elements, and then the buoyancy and center of buoyancy of the floating body and the center of gravity of the liquid tank were determined by analyzing the relative position of each tetrahedron and the water surface/liquid surface. An improved double iteration method was also proposed to determine the floating state of multi-convex composite structures: the inner iteration method was used to simulate the heaving motion of the floating body to obtain the water/liquid surface equations outside the floating body and inside the tank; the rotation motion of floating body was simulated by outer iteration. The two iterative methods were carried out alternately until the distance between the gravity action line and the buoyancy action line of the floating body meets the accuracy requirement, and the gravity is equal to the buoyancy force. The study calculated the floating state of a semi-submersible vessel and a semi-submersible offshore platform under various typical working conditions using self-compiled program, and the influence of free surface was also considered. In addition, MAXSURF modeling was used for comparative analysis, and AUTOCAD was used to verify the accuracy. The results show that: (1) the algorithm can take into account the influence of free surface on floating state with clear principle and good convergence; (2) the algorithm is easier to obtain accurate solutions for both traditional single-convex structures (such as single hull vessel) and multi-convex structures (such as multi-hull vessel, floating offshore platform, etc.), and its computational efficiency is higher; (3) the algorithm can realize the “building-block” modeling mode, which can greatly reduce the workload in multi-condition modeling; (4) the algorithm does not need to rely on foreign third-party graphics platform (such as AUTOCAD, CATIA) , which lays a good foundation for the localization of related industrial software in our country.
Key words： free surface; floating state; tetrahedron; double iteration
LIU Xiao, ZHOU Quan, FAN Tianhui, et al . Floating State Calculation Method of Multi-Convex Structure Considering the Influence of Free Liquid Level[J]. Journal of South China University of Technology(Natural Science), 2024 , 52(5) : 62 -70 . DOI: 10.12141/j.issn.1000-565X.230192
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