Secant and Tangent Stiffness Matrices and Their Relationship in Geometric Nonlinear Analysis

Study on a Tangent Stiffness Matrix Applied to Geometrically Nonlinear Elastic Plane Frames

平面框架梁单元切线刚度矩阵的研究

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The Accurate Total Equilibrium Equation and Tangent Stiffness Matrix of Three Dimensional Lattice Elements

空间桁架单元精确全量平衡方程及切线刚度

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Principle of stationary incremental potential energy and formation rules of tangent stiffness matrix

势能增量驻值原理与切线刚度矩阵的解构规则波纹管抗扭刚度的计算

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Elasto Plastic Tangent Stiffness Matrix of Three Dimensional Beam Elements

三维梁单元的弹塑性切线刚度矩阵

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Based on the total Lagrangian formulation, the formulas of both secant and tangent stiffness matrices in geometric nonlinear analysis are derived in detail in this paper, and their mathematical relationship is given.

根据T、L描述法，详细推导了几何非线性分析中的割线刚度矩阵和切线刚度矩阵一般表达式，并给出了两者之间的数学关系。

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Density functional theory ( DFT) for nonuniform systems containing chain like molecules based on cavity correlation functions ( CCF) is presented. Chain like molecules confined between two planes are treated as tangent jointed hard sphere chains with intermolecular and intramolecular attractive force between the spheres.

提出了一个基于空穴相关函数的非均匀链状分子系统的密度泛函理论，其中，链分子是相切连接的柔性硬球链，并处于两块平行的无限大平板之间。

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It makes the Tangent Sphere Method more simple by the coincidence of the horizontal plane of projection in counter-revolution with the vertical plane of projection.

在球络法作旋转曲面的阴影中，则为使水平投影H的反旋转与直立投影面v相重合，因而更简化了这种球络法。

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Some Results of k-Tangent Sphere of Simplex

关于单形的k-超切球的一些结果

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In this thesis, we will study systematically the geometric properties of tangent measures, and consider the properties of the tangent space to a measure.

本文系统研究了切测度的几何特征以及对于测度之切空间的几何特征。

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We obtain a series of interesting results including the structure theorem of tangent measures, the compare theorem of the tangent space to a measure.

获得了一些较为有意义的结果，如切测度的结构性定理、关于测度之切空间的比较定理等。

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By means of uniting geometry with algebra, the arc length, tangent line, cotangent space and curvature of curve in four dimensional space are investigated, and the corresponding calculation formula in each cases are given.

用形数结合的观点研究了四维空间中曲线的弧长、切线、法空间和曲率问题，并给出了其计算公式。

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There are some mathematical representations of space curves which will probably be met in actual engineering, and this article discusses how to get the tangent vector of these space curves according to their various mathematical representations.

本文就工程实际中可能出现的几种空间曲线的数学表示形式，分析其切线向量的求法。

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In this paper, the direct formulas of the tangent stiffness matrixes for space trusses are derived, by virtue of the principle of virtual displacement under the Lagrange coordinate;

本文利用虚位移原理，采用Lagrange描述方法，推导出了空间杆元的切线刚度矩阵显式；

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Based on nonlinear finite element theory, the tangent stiffness matrix in space frames is deducted and the program of nonlinear dynamic stability is compiled.

本文以此单层柱面正交异型网壳结构作为研究对象，根据非线性有限元理论建立了空间梁单元的切线刚度矩阵，编制了非线性动力稳定程序。

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The precise tangent stiffness matrix of space cable element is derived in this paper by using equilibrium equation.

本文采用状态平衡方程推导出用超越函数表示的空间索单元切线刚度矩阵的精确表达式。

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Three Solutions of Tangent Line Rector of Space Curve Line

空间曲线的切线向量的求解方法

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The Measure System of Tangent for Space Coordinates

接触式空间坐标测量系统

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By the he research on these algorithms, this paper gives two ways to improve the algorithms creatively. Firstly, in the course of the research, we found that the tangent space of the data point plays an very important role in the manifold learning.

通过对这些算法的研究，本文创造性的给出了两种改进的方法。首先，通过研究发现，数据点的切空间在流形学习中发挥着重要的作用。

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As a result, the outliers can be detected and its negative influence can be minimized. So the estimation accuracy of the local tangent space coordinates for each point can be consequently enhanced.

该算法能够检测出离群点并降低其影响，并能改善HLLE中每个样本局部切空间坐标的准确性。

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A Better Scaled Local Tangent Space Alignment Algorithm Then the distorted image must be revised by using the distorted coefficient, which can be calculated by the standard scaled block.

一种改进的局部切空间排列算法对于发生畸变的图像，通过计算标准定标块发生畸变的程度（用畸变系数表示），然后对整幅图像进行畸变校正；

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