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离散组合体稳性曲线计算原理与程序实现
Theory and Software Developing for Stability Curve of Decomposing-Composing Structure
【作者】 雷栋;
【作者基本信息】 大连理工大学 , 船舶与海洋结构物设计制造, 2003, 硕士
【摘要】 随着人类对海洋资源开发的日益加大以及伴随着海洋工程技术的不断发展,海洋结构物的类型和结构形式日益复杂多样。同时,随着这些海洋结构物工作海况的日趋恶劣,其稳性问题已经越来越引起人们的重视。 基于此目的,为了探讨适用于各种类型海洋浮式结构物的通用稳性计算方法,本文提出了离散组合思想和离散组合体的概念。本概念的提出是考虑到大多数非常规船体的结构形状均具有多样性与组合性的特点,使得在对其进行几何定义和几何特性计算时若作为一个整体考虑则十分复杂,而若分解为若干单元则相对简化。 文中将离散组合体的单元分为两类:体素单元与不规则单元,并分别给出了各自的几何定义方法以及浮态坐标系的选取原则。同时推导了任意浮态下水线面分别相对于整体相连坐标系与单元体相连坐标系的点法式方程,进而求出了整体浮态参数与单元体浮态参数的相互关系。在浮态参数方面,本文同时选取了传统的横倾角θ、纵倾角φ和倾斜方向角ω、倾斜角ζ两类角参数。对于海洋结构物来说前一类角参数在浮态方程的求解方面有其传统的方便性,而后者则在实际浮态的表达上更为直观。文中给出了二者之间的变换关系。 参考常规船体与水线面的求交算法,本文给出了单元体与水线面的求交方法以及几何特性的计算,并根据坐标变换原理得出了整体对应要素的计算式,求出了离散组合体的静水力要素。对于稳性曲线的计算,本文首先对比了离散组合体与常规船体大角稳性计算的差异,接着给出了离散组合体在任意倾斜方向下的三维静稳性臂计算公式,提出空间最小稳性回复力臂曲线的概念。并根据浮体倾斜过程中满足能量最小的原则,采用最优化方法计算离散组合体的稳性曲线。 在理论分析的基础上,利用Microsoft Visual Basic 6.0软件平台开发了SCMFS软件,从而完成了理论体系到应用软件的转化。并通过实例验证了软件的准确性与实用性。
【Abstract】 With the expanding of exploitation of ocean resources and the development of the technology of offshore engineering, both the type and the shape of floating structures increasingly become diverse and complicated. On the other hand, with the trend of moving towards deeper seas in severer environmental conditions, their stability has been more concerned.From this point of view, in order to find a new method of stability calculation which is applicable to all kinds of floating structures, the concept of Decomposing-Composing Structure is brought forward. Considering most structures having arbitrary and multiple shapes, once being decomposed, their hull geometry definition and geometric properties calculation of immersed hull will become easier. The whole structure is considered as a collection of all compartments, and each compartment contributes to the hydrostatic properties of the whole structure.The whole structure is decomposed into two kinds of compartments: primitive ones and arbitrary ones, both their definitions of hull geometry and establishments of local coordinate systems are introduced respectively. The equation of water plane in coordinate systems of both structure and compartments are deducted, based on which the floating parameters of each compartment can be represented by the ones of the whole structure. Two series of floating parameters are defined in this thesis, one includes average draft, heel angle and pitch angle, namely, T, θ,φ the other includes average draft, axis direction angle and inclining angle, namely, T, ω,ζ.The mathematical relation between the two series is presented.With reference to conventional ship, the calculation of intersection between each compartment and water plane is introduced, as well as the calculation of relevant geometric properties. After that, by summing up these properties of all compartments the hydrostatic particulars of the whole structure can be worked out. Considering the arbitrary direction of inclining axis, the mathematical formulation of stability arm in three dimension is presented, and the concept of the Curve of Minimum Stability Arm in three dimension is brought forward. The stability curve of the Decomposing-Composing Structure is calculated by the theory of optimization. .Basis on above method, using Visual Basic Programming language, the stability calculation software for floating structures SCMFS is developed. Its accuracy and availability is tested by two examples.
【Key words】 Decomposing and Composing Structure; Stability Curve; CAD; Floating Structure; Geometry Definition; Hydrostatics; floatation;
- 【网络出版投稿人】 大连理工大学 【网络出版年期】2003年 02期
- 【分类号】U661
- 【被引频次】10
- 【下载频次】221