变分原理

薄板弯曲理论中一个新的广义变分原理及其交替max，min性质

A new generalized variational principle and its max , min property in thin plate theory

Lagrange乘子法和一般形式的广义变分原理

Lagrange Multiplier Procedure and General Form of Generalized Variational Principle

应用Lagrange乘子法推导弹性动力学的变分原理

Deriving Variational Principles in Elasto-dynamics by Undetermined Lagrange Multiplier Method

依据变分原理，采用B样条有限元法，确定曲线变形后的平衡位置。

Based on principle of variation calculus , the basic spline finite element method ( B-spline FEM ) is used to determine the equilibrium position of curve deformation .

应用线性Lagrange乘子法推导广义变分原理的泛函

Derivation of the Generalized Variational Principles by the Use of the Linear Lagrange Multiplier Method

理想不可压缩MHD的广义变分原理

The generalized variational principle in MHD for an ideal incompressible fluid

几何非线性弹性动力学中广义Hamilton型拟变分原理

Generalized Hamilton-type Quasi-Variational Principles in Geometrically Nonlinear Elastodynamics

变分原理确定三角3m晶体等栅条的反射系数

Study on Strip Reflection Coefficient of Trigonal 3m Crystal etc

变分原理和非线性Lyapunov稳定性判据动力系统的Lyapunov稳定性和吸引性

The variational principle of baroclinic atmospheric motion and nonlinear Lyapunov stability criterion Lyapunov stability and attraction in dynamical systems

完整与非完整力学系统的积分变分原理的Riemann形式

The Integral Variational Principle in Riemann Form for Holonomic and Non-holonomic Dynamical System

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。

Galerkin method based on the variation principle is used to solve differential and integral equations .

弹塑性大变形Biot固结理论的参变量变分原理

Parametric variation principle of elasto-plastic large deformation in biot ′ s consolidation theory

运用Hamilton变分原理推导了半园弧管振动的微分方程；

With the help of Hamilton 's principle , the differential equations for free vibration of a circular bend are derived .

关于Reissner板理论的若干变分原理

On Some Generalized Variational Principles in E 、 Reissner ′ s Theory of Plate

首先导出薄板哈密顿对偶微分方程，然后导出薄板哈密顿变分原理的泛函表示式HP。

Firstly , the Hamiltonian dual differential equations for thin plates are derived . Then , the functional expression of Hamiltonian variational principle , PH , is obtained .

基于参数变分原理和二次规划法进行了Voronoi单元的二维弹塑性分析。

The parametric variational principle and quadratic programming method were developed for elastic-plastic Voronoi finite element analysis of two-dimensional problems .

研究了压电材料耦合动态场中Hamilton型和Gurtin型变分原理的逆问题。

The inverse problems in Hamilton and Gurtin Calculus of Variations for coupled dynamic piezoelectric media were studied .

Gurtin变分原理及其应用的时间有限元法

Gurtin variational principles and finite time element methods for dynamic analysis

Gurtin变分原理在矩形板动力初值问题中的应用

Application of Gurtin-type Variational Principle in Dynamic Initial-value Problems of Rectangular Plate

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。

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 .

最后指出纯正交各向异性弹性材料壳Hamilton型广义变分原理是变分公式的特例。

The article emphasizes that the Hamilton type generalized variation principle for the purely elastic shell formula is of a special case of the present variation formula .

基于位移型Gurtin变分原理计算动力响应的逐步积分法

A step by step integration method for dynamic response by Gurtin variational principle

论耦合热弹性力学中各种Gurtin型变分原理

On Gurtin & type Variation Principles for Coupled Thermoelasticity

有限变形弹性动力学的非传统Gurtin型变分原理

Unconventional Gurtin-type variational principles for finite deformation Elastodynamics

将横向的电场和磁场构成对偶向量，基于Hamilton变分原理做半解析横向离散，并保持结构辛体系。

The transverse electric and magnetic fields compose of the dual . With the Hamilton variational principle , the symplectic semi-analytical equations are derived and preserve their symplectic structures .

以圆杆波导为研究对象，考虑了由应力应变关系导致的物理非线性、横向惯性、横向剪切效应共同作用下的非线性波的传播，利用Hamilton变分原理导出了非线性纵向波动方程。

A new nonlinear wave equation in nonlinear circular-rod waveguide taking account of the nonlinear constitutive relationship and transverse inertia and shear effects is derived by means of Hamilton principle .

由Gurtin变分原理求解策动力下一维动力学初值问题的半解析法

A semi-analytical method based on Gurtin variational principle to solve 1-D initial-value problems of dynamics under alternate forces

然后，采用近代卷积双线性形式和传统笛卡儿双线性形式找到了相应的简化Gurtin型变分原理。

Meanwhile the corresponding simplified Gurtin-type variational principle is presented by means of modern convolution bilinear forms and classical Cartesian bilinear forms .

分别采用Kirchhoff假设与Mindlin理论，基于Hamilton变分原理，导出了带有表面效应影响的膜力、弯矩和控制方程。

On the basis of Kirchhoff 's hypothesis and Mindlin 's theory as well as by means of Hamilton variational principle , the membrane force , bending moment and governing equation are derived .

基于Reissner板理论和Hamilton变分原理，建立了双参数地基上具有表面横向贯穿裂纹的中厚矩形板的非线性运动控制方程。

Based on Reissner plate theory and Hamilton variational principle , the nonlinear equations of motion were derived for the moderate thickness rectangular plates with transverse surface penetrating crack on the two_parameter foundation .