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数学覆盖
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  mathematical cover
     The cover system of manifold method (MM) has been built by combining the actual physical meshes and arbitrary shapes of mathematical meshes which cover the whole material area. The technology of automatically forming of cover system in MM has also been studied from the definition of mathematical cover and physical cover. The numbering of manifold elements and two series of covers is programmed by Visio C++ and its standard class library.
     用覆盖所有材料区域但独立于材料实际几何边界的任意形状数学网格和实际的物理网格来建立流形方法的覆盖系统 ,直接从数学覆盖和物理覆盖的定义出发 ,探讨了流形方法覆盖系统的全自动生成技术 ,并用VisioC ++及其标准类库实现了流形单元和 2套覆盖的自动形成和编号 .
短句来源
     This paper introduces the theory of numerical manifold method, discusses the concepts of physicals cover, mathematical cover, weight function and displacement function, compares the accuracy when approaching one dimensional nature function by numerical manifold method and coupling method of DDA and FEM. In modeling the process of top coal drawing, the numerical manifold method presents better compatibility and accuracy than coupling method at the interface of continuous and discontinuous media.
     介绍了数值流形方法的基本原理,讨论了数学覆盖、物理覆盖、权函数和位移函数的概念,比较了该方法与 DDA和FEM 的耦合方法在对一维特性函数逼近的精确度,并用这两种方法模拟了地下放顶煤开挖的过程,最后的结果显示数值流形方法具有较好的相容性和精确度。
短句来源
     The mathematical cover has relative independence to physical grid, so the generation of cover system for numerical manifold method is more flexible and convenient than finite element grid, but in some physical grid conditions, it has some dependence to physical grid as same as finite element method.
     流形元的数学覆盖与物理网格相对独立,使流形元覆盖系统的形成比有限元单元网格的形成有更大的灵活性和方便性,但在形成流形元覆盖系统时对物理网格也有一定的依赖。
短句来源
     Have discussed the effects of crack and boundary line in rock mass to the generation of cover system for numerical manifold method, point out that mathematical cover must suit with crack and boundary line in rock mass, and put forward corresponding method to form the cover system for numerical manifold method, it is helpful for application of the numerical manifold method in rock mass engineering.
     笔者讨论了使用规则网格作为数学覆盖时,岩体材料普遍存在的裂隙和岩层界面这两种物理网格对流形元覆盖系统形成的影响,指出数学覆盖的构造要与岩体裂隙和岩层界面相适应,并提出了相应的流形元覆盖系统的形成方法,有利于流形元法应用于大型岩体工程问题。
短句来源
     Based on the relative independence of mathematical cover and physical grid,and considering the action of truely existent various equilibrant force in system for system balance,a method of simulation for excavation unloading using numerical manifold method in geotechnical engineering is proposed.
     基于数值流形方法数学覆盖与物理网格的相对独立性,考虑任一时刻体系中真实存在的各平衡力项对体系平衡的作用,提出用数值流形方法模拟岩土工程开挖卸荷的方法。
短句来源
  “数学覆盖”译为未确定词的双语例句
     In contrast to the finite element method, another form of numerical method which is based on the using of rectangular math covers in manifold method is proposed.
     作者在流形方法里采用矩形作为数学覆盖 ,从另一角度提出了一种不同于有限元法的数值分析方法。
短句来源
     Hexahedral meshes were chosen as te cover system for 3-dimensional numerical manifold method(3D NMM).
     该文采用长方体单元作为三维数值流形方法的数学覆盖 ,在此覆盖下物理覆盖和物体的交集是刚度矩阵的积分区域 ,采用的是Hammer积分法 .
短句来源
     It is one kind of methods for the discontinuous deformation analysis in the rock engineering. It is success to discuss the process of a finite element mesh transforms to a cover system for the numerical manifold method.
     基于平面三角形有限元网格 ,探讨了岩石块体系统数值流形方法分析之数学覆盖和物理覆盖及其流形元分析网格的形成技术 ,研究了覆盖系统两套覆盖编号的自动形成方法。
短句来源
     In the numerical manifold method developed by Genhua Shi,two types of mesh systems,mathematical covers and physical covers,are involved. Mathematical covers constitute the whole interpolation domain while physical covers are used to define the integral domain.
     数值流形方法包含数学覆盖与物理覆盖双重网格,数学网格用以构造流形单元的插值函数,物理覆盖确定了流形单元的积分区域。
短句来源
     The physical covers are defined by the intersection of the mathematical covers and the physical mesh. And an element in the manifold method is defined by the intersection of physical covers.
     数学网格被用来建立数学覆盖,数学覆盖与物理网格的交集定义为物理覆盖,由物理覆盖的交集形成流形单元.
短句来源
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  相似匹配句对
     Fun with Math
     数学游戏
短句来源
     Mathematics and Beautifulness
     数学与美
短句来源
     ON THE MATHEMATICAL BASISOF THE THEMATIC MAP FOR THE COVERAGE OFTHE EQUATORIAL GEOSTATIONARY SATELLITE
     关于赤道同步卫星覆盖问题专题地图的数学基础
短句来源
     On Relationship between Semi antichain and Unichain Covering in Discrete Mathematics
     离散数学中拟反链与单链覆盖之间的关系
短句来源
     THE MIXED COVERAGE SWITCH
     混合式覆盖开关
短句来源
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In contrast to the finite element method, another form of numerical method which is based on the using of rectangular math covers in manifold method is proposed. In this method, the element data is not a necessary in the input data files and it can be incorporated with the CAD technology conveniently. The theory and application of the method are discussed and the auto mesh algorithm of the cover system is also given in this paper. The numerical examples indicate that the method and the algorithm are accurate...

In contrast to the finite element method, another form of numerical method which is based on the using of rectangular math covers in manifold method is proposed. In this method, the element data is not a necessary in the input data files and it can be incorporated with the CAD technology conveniently. The theory and application of the method are discussed and the auto mesh algorithm of the cover system is also given in this paper. The numerical examples indicate that the method and the algorithm are accurate and effective.

作者在流形方法里采用矩形作为数学覆盖 ,从另一角度提出了一种不同于有限元法的数值分析方法。该方法结构简单 ,不需要准备单元和结点数据 ,数据输入量少 ,能够很方便地实现与CAD技术的一体化。文中详细地讨论了使用矩形网格的流形方法的理论和实施技术 ,并给出了其矩形覆盖系统的全自动生成算法。算例结果表明 ,理论和方法是正确、有效的。

This paper probes into the techniques of forming of covering system of numerical manifold method. Firstly, the method of automatically forming for the mathematics covers and physics covers as well as its grid was studied; and then the way of automatically forming for number of two series of covers was also researched.

系统地探讨了流形元覆盖系统的形成方法 ,基于三角形有限元网格 ,探讨了流形元数学覆盖和物理覆盖及其流形元分析网格的形成技术 ,研究了流形元两套覆盖编号的自动形成方法。

Generalized node with generalized free of degree,mathematical cover and physical cover were presented. The mathematical cover is constituted of generalized nodes, and different types of mathematic cover were introduced. Generalized finite element is composed of mathematical cover and physical cover and constitutional relation. Different characteristic mathematical cover and constitutional relation form different characteristic generalized finite element to simulate different characteristic bodies in multi body...

Generalized node with generalized free of degree,mathematical cover and physical cover were presented. The mathematical cover is constituted of generalized nodes, and different types of mathematic cover were introduced. Generalized finite element is composed of mathematical cover and physical cover and constitutional relation. Different characteristic mathematical cover and constitutional relation form different characteristic generalized finite element to simulate different characteristic bodies in multi body system of interaction, such as rigid body,elastic body,elasto plastic body,viscoelastic body and viscoelastoplastic body. The fundamental matrixes and vectors of general generalized finite element were given out. Solid foundation was established for discontinuous deformation computational mechanics model on the hand of element discretization.

阐述了广义结点的数学覆盖和物理覆盖、覆盖的类型及其特征·在此基础上 ,由广义结点构造数学覆盖 ,并介绍了不同类型的数学覆盖·广义有限单元是由数学覆盖、物理覆盖和本构关系构成 ,不同特性的数学覆盖和本构关系可构成不同特性的广义有限单元 ,以模拟多体系统中不同特性的物体 ,如刚体、弹性体、弹塑性体、粘弹性体和粘弹塑性体等 ,并给出了一般广义有限单元的基本特性矩阵与向量·为非连续变形计算力学模型在单元离散方面奠定了坚实的基础

 
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