variational principle

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。

By the variational principle, the equilibrium differential equations were established. We can obtain two sets of the calculation formula for the lateral displacement and the rotation by solving the equations.

通过变分原理建立系统的平衡微分方程组，求解得到结构在水平荷载作用下的侧移计算公式和转角计算公式，其中包括考虑和不考虑剪切变形两组表达式。

The Variational Principle of Air Flow Field around Moving Vehicle

汽车运动空气流场变分原理

Uniqueness, stability and variational principle for large plastic deformation problem

塑性大变形问题的唯一性、稳定性和极值原理

By using scalar variational principle, the numerical transfer function equations are derived.

本方法从光波导的标量变分关系出发, 通过状态方程对问题求解计算.

Based on the Mindlin plate theory, and by modifying the mixed variational principle, the Hamilton canonical equation for the free vibration analysis of Mindlin plate is derived and the analytical solution is also deduced by the adjoint ortho-organization symplectic geometry method.

本文通过对混合能变分原理的修正，建立了Mindlin板动力学问题的Hamilton正则方程，并采用共轭辛正交归一关系给出固有频率分析的精确解。

The calculation of buckling loads of rectangular plates under uniform compressions with complicated boundary conditions by means of the generalized variational principle

用弹性薄板广义变分原理解某些综合边界支承矩形板在均匀压力作用下的屈曲问题

For non-conservative mechanical systems, the classical variational principle of Hamilton does not hold true.

对非保守机械系统，传统的哈密顿变分原理不能认为是正确的。

Hamiltonian solution system for thin plates and its variational principle

薄板哈密顿求解体系及其变分原理

In order to study the variation of shell effects as well as pairing effects with nuclear temperature, we have extended the work of Sano and Yamasaki to generalize the HFB equations to finite nuclear temperature with the help of variational principle.

为了研究壳效应以及对效应随核温度的变化，我们借助于变分原理扩展了Sano和Yamasaki的工作，把HFB方程推广到核温度不为零的情况。

In detail, four different high accuracy and high efficiency symplectic algorithms are proposed based on dual variational principle and generating function. Furthermore, a three-variable symplectic algorithm is proposed for the nonlinear optimal control with free terminal time.

主要包括：基于对偶变量变分原理和生成函数方法提出了四种高精度和高效率的保辛数值算法；以及针对受控时间自由情况，提出基于三类变量变分原理的高精度和高效率数值算法。

Firstly, based on intelligent constitutive relation theory, instantaneous variational principle and spline dispersing, the analysis equation of the displacement and electric potential of the piezoelectric intelligent beam is established by the intelligent sline finite-point method.

首先采用智能样条有限点法，从位移模式出发，以智能本构关系、瞬时变分原理以及样条离散化为基础建立了压电智能梁力电耦合性能分析的计算模式。

Calculating theory of railway welded turnout based on generalized variational principle

基于广义变分原理的铁路无缝道岔计算理论

This pater presents a separable Hamiltonian system in elasticity and its corresponding variational principle. Further its finite element method is taken to solve thick laminated composite plate problems.

本文给出弹性力学中可分的哈密顿系统及其相应的变分原理，用有限元法求解了强厚度复合材料叠层板问题。

Based on thin-walled bar theory and finite element method, differential equations for the distortion of thin-walled box girder are established using by the principle of minimum potential energy variational method.

本文以薄壁杆理论和有限元法为基础，根据最小势能原理及泛函变分法建立了薄壁箱梁的畸变控制微分方程。

Hamilton variational principle does not suit nonholonomic mechanical system.

哈密尔顿变分原理不适于非完整力学系统.

By theory says, the variational principle and the Schrodinger equation are equal.

从原理上讲, 变分原理与薛定谔方程等价.

The course also examines approximation methods: WKB method, variational principle, and perturbation theory.

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.

Variational principle for two dimensional flows of the compressible ideal fluid with incontinuous surfaces

有间断界面的二维可压缩理想流体流场的变分原理

Extended Variational Principle in Non-Linear Theory of Elasticity

非线性弹性理论的泛变分原理

Lagrange Multiplier Procedure and General Form of Generalized Variational Principle

Lagrange乘子法和一般形式的广义变分原理

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.

The static analysis of beam on elastic foundation based on the generalized variational principle

基于广义变分原理的弹性地基梁静力分析

Then the stochastic variational principle is formulated.

并由此推导了二阶摄动随机变分原理.