在有限元分析中，节点编号对整体刚度矩阵的带宽起着决定性的作用。
In finite element analysis, node numbering plays a decisive role in determining the bandwidth of the global stiff matrix.
同时，可避免形成整体刚度矩阵，显著减少内存需求，并可自动实现计算任务的分配。
At the same time, the formation of global stiffness matrix can be avoided; greatly reducing the requirement for the storage, and the assignment of jobs can be done automatically.
通过对刚度矩阵及荷载列阵集成方法的探讨，用“对号入座”的方法得到结构整体刚度矩阵和结构整体荷载列阵。
After discussing method for integrating stiffness matrix and load embattle, they are integrated with 'set - in - right - position 'rule.
在有限元计算过程中，可通过优化节点编号来减少整体刚度矩阵的带宽，从而节约存储空间，减少有限元分析的计算时间。
In finite element analysis, the bandwidth of the whole stiffness matrix is reduced by optimizing the node numbering, thereby the needed memory space is saved and the calculation time is reduced.
推导了超级元刚度矩阵及子结构参与协同承载时对整体结构的刚度贡献。
The super element stiffness matrix and the stiffness contribution of substructures to the whole structure are developed.
然后，由虚功原理推导出了整体平衡方程中的广义刚度矩阵和荷载向量的具体表达式，并对其数值积分方法进行了讨论。
Then, the generalized stiffness matrix and load vector in the equilibrium equations are formulated by using the virtual work principle, and the numerical integration method is discussed.
再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。
The final finite-volume discretization equations are derived using the Hamilton principle. Meanwhile the global nodal force vector, mass matrix and tangent stiffness matrix of the cable are obtained.
由于最小势能原理，建立了单元刚度矩阵和压电材料的整体刚度方程。
By using 3-d isoparametric element, the global stiffness matrix equation for the piezoelectric laminate is obtained on the bases of minimum principle of total potential energy.
然后引入作用较大的高阶广义节点形函数，扩充广义刚度矩阵，并求解新的整体平衡方程，得到更高精度的数值解。
Then, those useful generalized nodes are selected, and the generalized stiffness matrix is enlarged. A more accurate numerical solution can be obtained after the new equilibrium equations are solved.
在此本构模型基础上，利用隐式积分方法，推导出新的应力和背应力积分公式以及整体迭代所需的一致切线刚度矩阵。
Then we establish the constitutive model for simulating the non-massing behavior. Based on radial method and back Euler integration, new stress and back stress integration algorithm are proposed.
在此本构模型基础上，利用隐式积分方法，推导出新的应力和背应力积分公式以及整体迭代所需的一致切线刚度矩阵。
Then we establish the constitutive model for simulating the non-massing behavior. Based on radial method and back Euler integration, new stress and back stress integration algorithm are proposed.
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