针对各种不同的结构连接形式和振动波形，分别推导了各种节点单元矩阵的表达式。
The joint element matrix equations were developed for various structural configurations and wave types.
在力学分析的基础上，确定了平面壳体单元的刚度矩阵，并根据载荷情况求出节点位移。
On the basis of mechanical analysis, the rigidity matrix of flat shell element has been determined and the displacement of joint has been found out according to the situation of loading.
阐明了单元刚度矩阵以及在上层梁单元作用竖向集中荷载或分布荷载下单元节点荷载列阵的形成。
The formulation for element stiffness matrixs, and vectors of nodal of element with the upper beam element subjected to either vertical concentrated load or distributed loads is illustrated.
导出了变截面梁单元的单元刚度矩阵、单元等效节点荷载和单元一致质量矩阵。
The stiffness matrix, equivalent nodal load and consistent mass matrix are derived for the beam element with variable cross-section.
针对工程结构中广泛应用的变截面构件，提出了一个变截面平面梁单元，推导了其单元刚度矩阵和等效节点荷载公式。
A nonuniform beam finite element is presented and the element stiffness matrix and equivalent joint load are derived to analyse nonuniform members used increasingly in engineering structures.
通过标志矩阵自动搜索新的开挖边界节点，并由单元应力计算出节点的卸荷荷载。
It can automatically search the node of the new boundary through symbolic matrix, and calculate the unloading of the node by stress of element.
文中导出了单元和节点的正确传递矩阵公式并根据传递矩阵原理获得了杆件静力分析的公式。
The exact transfer matrix formulae of element and node are derived and the formulae of statics analysis for bars are obtained according to transfer matrix principle.
利用变分原理，推导了两节点二维曲梁单元几何非线性的单元切线刚度矩阵。
From the variation principle, an analytical solution of the tangential stiffness matrices with nonlinear effects geometrically, for two-nodal two-dimension curved beam element, has been derived.
首先对弹性五杆机构进行有限元分析，通过机构梁单元节点位移间的关系，建立起弹性五杆机构单元质量矩阵与刚度矩阵以及弹性动力学模型。
Firstly, the links of the plane five-bar linkage mechanism is simulated by beam element, the mass matrix, stiffness matrix of linkage mechanism and elastic dynamic model of system are established.
因而，得到的单元切线刚度矩阵是对称的，此外在增量求解过程中用节点变量的全量进行更新。
As a result, the element tangent stiffness matrix is symmetric and is updated by using the total values of the nodal variables in an incremental solution procedure.
根据多色染色理论，在同一节点有任意多个单元邻接的情况下，对有限元的单元进行了分类；在刚度矩阵组集时，同类单元可以并行计算，从而提高了组集效率。
Based on the theory of multi-color dyeing, the elements of FEM were sorted with arbitrary number of elements in the neighborhood of the same node.
应用高精度的六节点三角形单元进行单元划分，建立复合夹层板的刚度矩阵、质量矩阵并推导有限元动力学方程。
Elements by the highly-accuracy six-node triangular element are divided. Stiffness matrix and mass matrix of sandwich panel are established and then deduced dynamical equations of finite elements.
当单元局部损伤后，由于损伤高斯点的承载能力全部丧失，需将高斯点对单元刚度矩阵的贡献从单元刚度矩阵中除去，此高斯点上的残余应力通过单元节点作为荷载加在结构上。
The contribution of Gauss node to element stiffness should be removed. So the residual stress of Gauss node can be brought to the structure as the load by element node.
当单元局部损伤后，由于损伤高斯点的承载能力全部丧失，需将高斯点对单元刚度矩阵的贡献从单元刚度矩阵中除去，此高斯点上的残余应力通过单元节点作为荷载加在结构上。
The contribution of Gauss node to element stiffness should be removed. So the residual stress of Gauss node can be brought to the structure as the load by element node.
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