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边界单元法

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In this method, as each boun dary element is connected with finite number of elements, and coupled with boundary elements through finite number of elements, the merit of the FEM is therefore fully used.

这种方法规定各边界单元只和有限单元相接,通过有限单元实现边界单元的耦合,发挥了有限单元法组装方便的特长。

The complex variable boundary element-free method is a direct numerical method of the meshless method of boundary integral equation.

复变量边界无单元法是边界积分方程的无网格方法的直接列式法,容易引入边界条件,且具有更高的精度。

The nearly singular integral occurs in the boundary element formulation when a source point is close to the integration element but not on this element.

边界元法中存在几乎奇异积分的计算困难。引起边界单元上几乎奇异积分的因素是源点到其邻近单元的最小距离δ。

It was proved that the area coordinates of plane triangle element and the volume coordinates of tetrahedron element are equivalent to the oblique Cartesian coordinates by the analytical and geometrical methods.

本文通过分析法和几何法证明:在有限元法和边界元法中,平面三角形单元的面积坐标或四面体单元的体积坐标与由这些单元的二边或三边构成的斜交笛卡儿二维坐标或三维坐标,尽管定义不同,而其内容却是完全对等的。

Using the characteristic of the regular curve boundary for a bending plate in engineering,the analytic integral formulae of assistant states in boundary element method with the linear element for a Kirchhoff circular plate are introduced and the systematic equation of BEM is established in this paper.

利用一般弯曲薄板边界为规则曲线的特点,对工程常用的圆形弯曲薄板,采用线性单元,导出K irchhoff圆板各辅助态的边界积分解析表达式,建立问题的边界元法系统方程,从而使薄板的边界元分析完全避免通常使用的高斯积分,明显提高计算精度。

Combining with the element-free method,a boundary element method without singular integration is presented by using non-singular fundamental solution to establish the boundary integral equation for electromagnetic field.

用非奇异基本解建立电磁场问题的边界积分方程,将其与无单元法相结合,提出了电磁场计算的无奇异积分的边界无单元法,编制了相应的计算程序,计算结果表明,方法合理可行。

In Chapter two, it is given of the three-dimensional boundary element and the boundary element space, Sobolev space for the contact boundary element problem with friction; it is proved of existence and uniqueness of the solution by variation inequality for the contact Boundary Element Method matrix equation under two kinds of condition that the contact zone is fixed and the contact zone is increasing along with the load; it is given of the expressionfor the error of the exact solution and the boundary element solution.

第2章,给出三维边界单元及边界元空间、有摩擦接触边界元问题的Sobolev空间,利用变分不等式证明了不变接触区和随载荷可变接触区两种情况下的接触边界元法矩阵方程解的存在唯一性,给出了准确解与边界元解的误差表达式,还证明了三维弹塑性摩擦接触问题凝缩矩阵解的存在唯一性,为三维弹塑性摩擦接触边界元法奠定数学基础。

On bottom slamming load and strength requirement for Structures of Box Barges;2. In this paper, two finite element models of plated grillages are built to calculate the transient dynamic response to slamming load of a high-speed ship.

本文运用边界元法分析外飘和U型船体截面的砰击问题,在分析过程中自由液面采用完全非线性边界条件以计算自由液面的大变形,而边界单元则采用线性单元假设。

The linear boundary element method make boundary element into linear segment from linear interpolating function.

线性边界元法是在常数边界元法的基础上,从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。

This simulation system will help to improve innovation design level of high-speed cultivation machine such as high-speed plow and high-speed rotary tiller. SPH; back-rotary tilling ; simulation ; soil-tool interaction ; high-speed cutting

因为牵涉到多相、松散和物性分散的耕作土壤在工作部件高速作用下的破坏过程以及破坏后土壤运动状态的描述,用连续体力学理论及其数值解法(有限单元法或者边界元法)很难描述该过程如有限单元法在大变形状况下会发生网

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