摘要
本文提出了一种求解流体静力学问题的有限基本解方法。首先建立了作用于三角形平面单元上的流体静压力及力矩的计算公式，并对合力作用中心垂向位置的计算作了适当的变换，使其归结为求曲面上关于压力的一种积分。然后，采用三角形剖分技术对曲面进行分割，以平面三角形集合代替曲面，将整个问题归结为求三角形域上的四种积分──有限基本解，最后将此有限基本解按单元迭加，即可求得所感兴趣的物理量。将这一方法应用于船舶静力学，可以完成静水力曲线、邦戎曲线、稳性插值曲线等基本计算。此外，计算中对船体曲面所施行的三角形划分，不仅适用于船舶静力学的计算，亦适用于某些船舶流体动力学的计算。
A panel method for solving the problems in hydrostatics is presented in thsi paper,Formulae to calculate the hrdrostatic pressure and moment on a triangle .element are establishad. The vertical position of the total pressure center is calculated by a suitable transformation. By using triangulationmethod, it is possible to represent the hull surface by a set of triangles approximately. Thus the problems may result in four kinds of integral on triangular area which are named finite-element solutions. Some results interested are obtained by adding the finite-element solutiolis panel by panel The method can be used in calculations of ship hydrostatics, such as hydrostatic curves, Bonjean curves and stability curves, and so on.
出处
《船舶工程》
CSCD
北大核心
1994年第2期26-30,2-3,共5页
Ship Engineering
