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。
Some end value condition derived by variational method in accordance with the least energy loss principle and their mechanical background are also dealt with.
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。
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.
这个方法是建立在三次样条函数、梁振动函数(或三角函数)及变分原理基础上。
The method based on the cubic B-spline function, beam vibration function (or trigonometric functions) and variation principle.
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。
This dissertation established numerical methods in the fuzzy structural analysis on the basis of fuzzy variational principle and peak fuzzy number.
提出了一种可借助于最小敏感性原理求解本征能量的双变分参数的近似方法。
It proposes an approximation method with two variational parameters for finding the eigen-energies by principle of minimal sensitivity.
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。
The paper presents a new symmetric coupling approach of BEM and FEM, which is based on the sub-region variational principle.
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。
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.
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。
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.
本文应用分区广义变分原理，提出了求解含有裂纹的型材应力强度因子的计算方法。
A calculation method is proposed to determine the crack tip stress intensity factors for sections on the basis of zonal generalized variational principles.
变分原理的建立将有利于压电材料圆柱壳静力学和动力学问题的有限元方法或半解析法的推导。
The establishment of variation-principle is of benefit to deriving the finite element method or semi-analytical solution to the cylindrical shell static-dynamical problems of piezoelectric materials.
求解方法的基础是变分原理。
The foundation of the solving methods is the variational principle.
曲线梁的理论研究主要采用平衡法、能量法以及基于变分原理的虚功(位移)方法。
Theoretical studies of curved girders mainly adopted the methods of balanced method, energy method and variation-based method of virtual work (displacement).
同时，本课程也解释了几种常用的近似方法：WKB方法、变分原理、以及微扰理论。
The course also examines approximation methods: WKB method, variational principle, and perturbation theory.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
有限元法作为一种离散化的数值方法，是一种近似方法，其理论基础是变分原理。
As a kind of dispersed numerical value method, the finite element is of approximate methods, and is based on principle of variation.
有限元法是根据变分原理和离散化而取得近似解的方法。
The finite element method is obtains the approximate solution according to the variational principle and the discretization the method.
该方法不用一般的变分原理，可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
利用有限元离散变分不等原理和基于线性规划余原理的迭代方法，求解自由边值条件下的油膜力。
The oil film forces under free boundary conditions are solved by finite element discrete variational inequalities and iterative method based on complementary principle in linear programming.
利用弹性薄板的广义变分原理和双调和方程的特解序列，提出了一种求解圆板混合边值问题的数值方法。
The existence and the life span of solutions to some mixed initial-boundary value problems are also investigated.
利用弹性薄板的广义变分原理和双调和方程的特解序列，提出了一种求解圆板混合边值问题的数值方法。
The existence and the life span of solutions to some mixed initial-boundary value problems are also investigated.
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