1、

Using the concept of plastic hinge, the tangent stiffness matrix of spatial beam element is formed. At the same time the effect of geometry nonlinear property, residual stress and end restraint are considered.

引入塑性铰的概念,建立了空间梁单元弹塑性刚度矩阵,同时考虑几何非线性、残余应力、端部约束等的影响,给出了一套钢结构复杂体系的有限元计算方法。

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3、

Meanwhile, the internal force vector and the element tangent stiffness matrix could be obtained from calculating directly the first derivative and second derivative of the element strain energy with respect to the nodal variables, respectively.

同时,采用矢量型转动变量,可以直接从计算单元应变能泛函对节点变量的一阶和二阶偏微分得到单元内力矢量和切线刚度矩阵。

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4、

With this co-rotational framework, the effect of rigid-body motion on the nodal variables computing can be excluded in advance, which makes a great simplification in establishing the element tangent stiffness matrix.

由于局部坐标系采用了协同转动框架,在计算单元节点变量时可以排除刚体位移的影响,从而显著降低了建立单元切线刚度矩阵的复杂性。

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5、
6、

Firstly, the author utilizes the law of spline subdomain to construct the tangent stiffness matrix of spatial beam-column element and the geometrically non-linear stiffness equation of network shell structure and goes on its non-linear static analysis.

首先利用样条子域法建立空间梁&柱单元的切线刚度矩阵和网壳结构几何非线性的刚度方程,进行非线性静力分析;

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7、

In this paper, the element tangent stiffness matrix of spatial fold cable element under initial stress condition and nonlinear simultaneous equations for finite element method which can be used in nonlinear analysis and calculation of prestressed lattice structures are developed by studying the prestressed cable element.

通过对于预应力索单元的分析研究,推导了具有初始应力的空间折索单元的单元切线刚度矩阵的计算公式,并且建立了可用于预应力空间网格结构非线性有限元分析的非线性方程组。

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8、

In the paper, the accurate total equilibrium equation of one dimensional lattice element in the coordinate has been given by using Green Strain Tensor, then it is changed into one in the fixed three dimensional coordinate, so we can get the accurate tangent stiffness matrix.

利用Green应变张量在随动坐标系中建立一维桁架单元的精确全量平衡方程,然后将其转化成固定空间坐标系中的全量平衡方程,并由此导出精确的切线刚度。

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9、

The exact static shape functions of the two tapered beam are presented, and can be used in developing the exact stiffness matrix through classic finite element method.

通过微分方程法得到了这两种变截面梁单元的静态精确形函数,从而可通过此精确形函数由经典有限元方法推导出相应变截面梁的精确刚度阵。

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10、

The displacement mode of a tapered beam is derived according to the tapered members with I sections used very often for steel structures, on the basis of which corresponding shape function and stiffness matrix are obtained by finite element theory and a symbolic software.

针对钢结构中常用的工字形截面楔形构件,推导出了楔形梁的位移模式,并在此基础上,用有限元原理,通过符号计算软件,求得相应的形函数与刚度矩阵。

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11、

The Stiffness Matrix of a Tapered Section Four-Node Spar Element and Its Applications in Aircraft Structural Analysis

变截面四节点梁元刚度矩阵及其在飞机结构分析中的应用

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12、

Matrix inversion can be avoided, in comparison with conventional hybrid element, the method is more convenient in practical application.

这类单元与其他类型的杂交模型相比,精度高且能较好地避免矩阵求逆运算,具有较好的实用性。

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13、

a finite element model for rubber matrix composite structures is developed in this paper.

建立了一个橡胶复合材料结构有限元分析模型。

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14、

large deformation finite element analysis for rubber matrix composite structures

橡胶复合材料结构大变形有限元分析

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15、

the second method directly derives the stiffness matrix of beam element based on the winker foundation theory without adding the springs.

二是在计算模型中不需另加弹簧,用温克地基梁理论直接推导出梁单元刚度矩阵。

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16、

on the basis of force density matrix of cable element , a force density matrix of triangle membrane element is introduced.

本文在已有的索单元力密度矩阵的基础上推导了三角形膜单元的力密度矩阵。

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17、

the interface mechanical finite element matrix matching method and the thermal stress for the masonry envelop in the wall of melting furnace

熔炼炉壁中砌体的界面力学有限元矩阵对号入座法与热应力

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18、

firstly, when the tolerance influence is not considered, a linear equation which coefficient matrix is composed by direction vector of voltage increment is built to identify fault in element. from the solution of the equation, the faulty element is located.

首先,在不考虑参数容差影响下,用各个测试节点上的电压增量所构成的方向向量建立了矩阵;以该矩阵为系数,构建一个线性矩阵方程;通过求解方程来定位故障元件。

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19、

an elastoplastic matrix is then proposed, based on which a stiffness finite element approach is developed.

由此发展了弹塑性矩阵及切线刚度有限元法。

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20、

finite element simulation and analysis of 12 vol% sic_p/ 2024al matrix composites for hot extrusion process

12vol%SiC P/2024Al基复合材料热挤压过程有限元模拟与分析

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