In spite of the very close affinity between the variational theorems and the principle of virtual work the study of the former is worth-while.
尽管变分定理与虚功原理之间有很紧密的相似关系，然而对前者的研究仍然是有价值的。
Some end value condition derived by variational method in accordance with the least energy loss principle and their mechanical background are also dealt with.
同时从能量最小原理出发，用变分的方法推导出几种端值条件，说明它们的力学背景。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
By variational principle we obtain a system of differential equations and corresponding boundary conditions.
利用变分原理得到平衡微分方程组和相应的边界条件。
A finite element method using subregion variational principle and spline function in this paper is presented to solve the problem of combined shell of revolution.
本文提出一种用分区变分原理和样条函数相结合的有限元方法，解决组合型旋转壳受力分析问题。
The analytical solutions of composite modulus in both elastic and plastic conditions are deduced by applying parametric variational principle.
应用参变量变分原理推导了复合模量在弹性及塑性状态下的解析解。
In this paper the analysis of cable-supported dome structure under axisymmetrical loading is discussed and solved by the energy variational principle.
本文对索承穹顶结构在轴对称荷载作用下的分析进行研究，并用能量变分原理进行求解。
This dissertation established numerical methods in the fuzzy structural analysis on the basis of fuzzy variational principle and peak fuzzy number.
本文依据模糊变分原理以及峰型模糊数的运算法则，建立了模糊结构分析的数值理论和方法。
As we know, perturbed and optimization and variational principle play an important role in nonlinear analysis.
我们知道，扰动优化或变分原理在非线性分析领域中也起到了很大的作用。
The paper presents a new symmetric coupling approach of BEM and FEM, which is based on the sub-region variational principle.
本文从弹性力学分区变分原理出发，提出一种新的有限元与边界元的对称耦合方法。
Some references indicated that the extremum in the Schrodinger variational principle is a minimum.
已有的一些文献指出，薛定谔变分原理中的极值是极小值。
A generalized variational principle involving conditions of the rigid-plastic interface and the discontinuous surface of a velocity field has been put forward for the mixed-boundary value problem.
提出了一个包括界面条件及间断面条件在内的混合边值问题的广义变分原理，建立了极限载荷乘子的变分解析公式。
Based on a preliminary study on the identified multiplier method, it is pointed out in this paper that this method is a unite method of functional transformation in variational principle.
本文通过对已识别拉氏乘子法的初步探讨，指出了已识别拉氏乘子法是变分原理中泛函变换的统一方法。
The fundamental equations in finite element method for unsteady temperature field elastic plane problem are derived on the bases of variational principle of coupled thermoelastic problems.
在耦合热弹性问题变分原理的基础上，导出非定常温度场热弹性平面问题的有限元法基本方程。
Some basic concepts and the essential control equations of non incremental algorithm based on the optimal control variational principle in mechanics are presented in this paper.
在非增量算法的基础上，提出了用最优控制变分原理来形成非增量迭代求解的基本思路，并给出了求解的基本控制方程。
A new mathematical model for the non-Hertz contact problems is proposed based on the mixed variational principle. From this model, the finite element approximate formulae are derived.
本文从混合变分法原理着手，对弹性接触问题提出一种新的数学模式，并从中导出有限元的近似公式。
The convolution type functional was offered for the bending of viscoelastic beam column with damage and the generalized variational principle of viscoelastic beam column with damage was presented.
提出了以卷积形式表示的梁-柱弯曲问题的泛函，并给出了损伤粘弹性梁-柱的广义变分原理。
Then its generalized variational principle is established on the basis of Lagrange multiplier method by absorbing the first kind of boundary condition.
然后利用拉格朗日乘子法，吸收第一类边界条件，从而得出其广义变分原理；
Using the variational principle, the difference scheme with thermal-flux form in the irregular structured mesh is presented.
用变分原理在不规则结构网格上建立热流通量形式的差分格式。
Based on transformed section method, shear lag effect of continuous box girder was analyzed adopting variational principle, and compared with design code and experimental result.
基于换算截面法，运用变分原理对开裂混凝土连续箱梁的剪力滞效应进行了分析，并与规范方法和试验结果进行了对比。
The preconditions, additional conditions and reflection laws of variational principle are the complete elementary equations in elasticity.
弹性力学变分原理的先决条件、补充条件和反映的规律一起正是弹性力学全部基本方程。
Then, buckling characteristic equations for laminates with built-in circular or elliptical delaminations are derived by using the variational principle and linearized method.
然后由变分原理并进行线性化得出了含内埋圆形或椭圆形脱层板的屈曲特征方程。
The parametric potential energy principle and the generalized parametric variational principle are developed in the limit analysis of the non-associated flow rule materials.
本文对服从非关联流动法则下的刚塑性极限分析问题，提出了参数势能变分原理和参数广义变分原理。
We first improve the complementary variational principle.
首先改进互补变分原理。
Space stiffness matrix of T-shape, L-shape and -shape short-leg shear wall is derived by virtual work principle and variational principle.
利用虚功原理和变分原理分别推导了T形、L形和一字形截面的短肢剪力墙空间单元刚度矩阵。
Two computational cases that have analytic solutions are employed for studying the adaptive grid technique based on the variational principle.
利用两个具有解析解的算例研究基于变分原理的自适应网格技术。
Based on the sub-region generalized variational principle, the solving equations of the problem are derived directly.
根据分区广义变分原理，直接导出问题的求解方程式。
Based on discrete variational principle, the equations of motion for the discrete systems are established.
根据离散变分原理建立离散系统的运动方程。
Based on discrete variational principle, the equations of motion for the discrete systems are established.
根据离散变分原理建立离散系统的运动方程。
应用推荐