By the variational principle , this paper derivesthe equilibrium equation and the boundary condition of thelarge - deflection flexible bar , which improves the results inreferences 2 and 3 利用变分原理,不仅给出了柔杆在大变形时的平衡方程,同时也给出相应的边界条件,弥补了文献2和文献3在这方面的缺陷
This dissertation established numerical methods in the stochastic structural analysis on the basis of random fields theory , stochastic variational principle , monte carlo method and reliability theory , etc . 本文依据随机场理论、随机变分原理、蒙特卡罗法以及可靠度理论等，建立了随机结构分析的数值理论和方法。
Lagrange multiplicator method is introduced in the numerical computation to release the constraint . galerkin method based on the variation principle is used to solve differential and integral equations Galerkin方法是基于变分原理基础上的一种把微分方程或积分方程转化为等价的变分方程，通过离散变分方程求原方程数值解的方法。
Finally , the variational principles are applied in fdtd dipole antenna input impedance simulations . the input impedance computed with this method is compared with that computed with the traditional fdtd method 本文还将变分原理与时域有限差分法相结合，计算了对称阵子的阻抗，给出了对称阵子的阻抗随阵子归一化长度变化的曲线。
Based on the " size " of the set of perturbed minimal points in the variational principle , the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence 摘要通过函数的下卷积函数列的逼近方法，在变分原理中从扰动最小值点集的“大小”入手，研究了下半连续函数的可微性。
By means of variational structure and z2 group index theory , we obtain multiple solutions of boundary value problems for second - order ordinary differential equations and lower bound estimate for number of the solutions 摘要本文利用变分原理和z2不变群指标研究了一类二阶常微分方程奇异边值问题的多重解，得出了这类解个数的下界估计。
At first , according with the fundamental theory of complementary variational method , the complementary fem is constructed by the introduction of t - q to satisfy the equation of secondly 首先，根据互补变分原理，构造了基于t ?变量的互补有限元法，从而满足了应用互补有限元法计算电磁参数时，必须保证基本关系式h = j恒成立这一前提。
The governing equation of pim is obtained on the basis of variational principle . numerical examples show that the method is applicable widely , considerably precious , and can be used for the calculation of both thin an thick plate 根据变分原理得到了平板弯曲的无网格控制方程，算例表明该方法实用性强、精度高，可以同时应用于薄板和厚板的计算。
The minimum energy dissipation principle of seepage problem is put forward and deduced , which is so adaptive and maneuverable that is used as the theoretical basis for the viariational principle of porous media seepage 提出并推导了多孔介质渗流问题最小能量耗散原理，以该原理作为多孔介质渗流问题的变分原理的理论基础，具有很好的适应性和可操作性。
It dwells here upon the constitutive model of tlastic creep damage of heat resistant steel , establishing a corresponding variation principle and finite element discretization form , thus introducing complete numerical variational methods 主要提出耐热钢的弹性蠕变损伤本构模型，建立起相应的数值变分原理以及有限元离散化形式，从而形成完整的数值变分方法。
