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。

Equilibrium differential equation and boundary condition were deduced first adopting variation principle and then the analytic generic solution of the deflection of dowel steel was obtained .

采用 能量 变 分 原理推导了双参数地基梁平衡微分方程以及相应的边界条件，进而求得基于双参数地基梁 理论的传力杆挠度解析通解。

Research on Method for Soil Slope Stability Based on Variation Principle

基于 变 分 原理的土坡稳定分析方法研究

Based on the variation principle the governing equation for modal analysis of plates is derived from the Mindlin-Reissner plate theory .

利用Mindlin-Reissner中厚板理论，从 变 分 原理出发导出了中厚板模态分析的控制方程；

Variation Principle of Yield and Major Traits in Rice with Different Maturity in Harbin

哈尔滨地区不同熟期水稻产量及主要性状 变化 规律

The hydration theory as well as calculation formulas which are the numerical analysis based on are introduced respectively . Besides the equations of heat conduction boundary conditions as well as the variation principle are also demonstrated . 3 .

对数值分析所依据的水化热分析理论以及水化热温度-应力场的的数值计算公式分别进行了介绍，并阐述了大体积混凝土的传导方程、边界条件、 变 分 原理等。

The nonlinear dynamic equations of stiffened plates are derived from Hamilton Variation Principle taking account of shear deformation and rotatory inertia and solved by employing combined finite difference and Runge Kutta method .

考虑了剪切变形和转动惯性的影响，由Hamilton 变 分 原理导出了加筋板的非线性动力方程，并用有限差分结合RungeKutta法求解。

Finally on the basis of introduced algorithms adopt an iterative algorithm which the scattering parts are based on finite element numerical calculation method the inverse scattering parts use the equivalence principle and variation principle .

最后，采用了一种正散射部分基于有限元数值计算方法，逆散射部分结合了体等效原理和 变 分 原理的迭代算法。

This paper studies the variation principle about the mixed boundary value problem of second ( order ) elliptic differential equation by the calculus of variation and strictly testifies the principle of minimum potential energy and the principle of virtual work .

利用变分法研究了二阶椭圆型方程混合边值问题的 变分 原理，论证了最小位能原理和虚功原理。

Using the finite element method and Hamilton variation principle the bridge dynamic equation can be obtained .

采用有限元方法，运用Hamilton 变 分 原理，推导了桥梁结构动力有限元方程。

Variation Principle and Its Application in the Study of Wave Theories

变 分 原理在波浪理论研究中的应用

Theoretical analysis of soil squeezing effect due to jacked piles based on variation principle

基于 变 分 原理的静压沉桩挤土效应理论解答研究

An analysis model of vehicle on two-spring system with 21 degree of freedom is presented in the paper . The structure matrices are derived according to the potential energy variation principle by using the set-in-right position rule for forming structural matrices .

本文提出了一个具有21个自由度的二系弹簧车辆分析模型，并利用势能驻 值 原理及形成矩阵的对号入座法则导引了其结构矩阵。

Firstly differential variation principle of human body non-integrity system mechanics and integral principle of human body integrity system mechanics were expounded .

首先，阐述了人体非完整系统力学的微分 变 分 原理和人体完整系统力学的积分原理；

Energy variation principle is a good method to solve the shear lag effect .

能量 变 分 法是求解剪力滞问题的一个有效方法。

Applying energy variation principle we give equations defining parameters in flexural function stability equation frequency equation and general formulae of minimum critical force and minimum eigenfrequency as well .

应用能量 变 分 原理，给出了确定挠曲函数中待定参数的方程，以及稳定性方程和频率方程，给出了求最小临界力和最小固有频率的一般公式。

Numerical manifold method of elastoplastic analysis is presented by using the parametric variation principle .

利用参变量 变 分 原理建立了弹塑性分析的数值流形方法。

Based on Hamilton 's law of variation principle the high accuracy incompatible formulation of finite dynamic element that increased internal degree of freedom was established . The relationship between the derived formulation and the conventional finite dynamic element method was revealed .

基于哈密顿 变 分 原理，建立了增加内部自由度的结构动力分析高精度非协调有限元法计算列式，揭示了它与动态有限元法的内在联系；

A new method to identify the magnitude of the local stiffness in the linear structural system under random excitations was developed based on the natural relationship of the variances between input excitations and the output responses variation principle and multi-parameter 's optimization method .

基于线性随机系统理论中的输入和输出随机信号的方差固有关系、 变 分 原理和多参数优化方法，发展了一种新的识别线性结构系统局部刚度大小的方法。

By the variation principle this paper built a new kind of Lagrange function to investigate the analytical solution of liquid nonlinear sloshing in a pitching tank .

针对俯仰运动贮箱中液体的晃动用 变 分 原理建立了一类新的Lagrange函数，以此为基础可以解析方式来研究俯仰运动贮箱中液体的非线性晃动。

Concordance and contrast principle is the extension for unification and variation principle its application in shoes alesign mainly have six aspects .

摘要调和与对比原理是统一与 变化 原理的拓展，他在皮鞋设计中的应用主要有六个方面。

The tube diffuse stove s of electric heat are applied in semiconductor industry . In this paper the problems of design of the diffuse stove silk are discussed hy multiplier and calculus of variation principle of pulse the designing principle arid calculable method are given .

电热管式扩散炉在半导体工业中是常用的，本文利用乘子法和脉冲 变 分 原理讨论了扩散炉的炉丝设计问题，给出了设计原理和计算方法。

Surrounding non-integrity system mechanical model of digital human body the variation principle of human body non-integrity system mechanics was developed to study in this paper .

该文围绕数字人体非完整系统力学模型，开展了人体非完整系统力学的 变 分 原理研究。

This dissertation establishes numerical methods in structural analysis on the basic of variation principle finite member element method spline function etc.

本文利用 变 分有限元 法、样条函数等，提出了薄壁箱梁结构分析的数值理论和方法。

Application of variation principle to the die design

变 分 原理在模具设计中的应用

Based on the governing differential equations of unsteady temperature field and the elasticity theory of plane strain problem finite element equations of temperature gradient and thermal stress field are given by the variation principle .

按非稳态温度场问题的热平衡控制微分方程和弹性力学平面应变问题的计算理论，应用 变 分 原理给出了温度场和应力场的有限元计算列式。

It is an iterative method derived by using the volume equivalence principle variation principle and Fourier transform .

这是一种基于电磁体等效原理、 变 分 原理和傅立叶变换的迭代方法。

This paper has derived the stokes 1st order and 2nd order wave formulations as well as the wave equation governing the wave refraction diffraction and interaction with current by means of the variation principle .

本文利用 变 分 原理推导了一、二阶Stokes波的方程，并给出在波浪和水流共同作用下结合波浪折射和绕射的波动方程。

The variation principle of the 3-D contact problem is introduced the related formulas based on the finite element method are derived and the contact mode and condition of the boundary are discussed .

介绍了三维接触问题的 变 分 原理，推导了接触问题有限元计算公式，讨论了边界接触模式和接触条件。