变分法在数学物理问题中有着广泛的应用。
Variation calculus has been widely used in mathematical physics.
能量变分法是求解剪力滞问题的一个有效方法。
Energy variation principle is a good method to solve the shear lag effect.
采用泛函变分法导出了隔水管的振动微分方程。
The differential equation for the vibration of the riser system is derived by means of functional calculus of variation.
使用变分法，推导出这种最佳化问题的必要条件。
Using calculus of variationS, necessary conditions of the optimization problem are developed.
分析了变分法求解结果与垂直条分法结果的差别。
成功地应用变分法取决于对尝试函数作精明选择的能力。
Successful use of the variation method depends on our ability to make shrewd choice of the trial function.
从弹性力学的变分法原理出发，简单介绍了有限单元法。
Starting from the variation principle of elasticity theory, the finite element method (FEM) theory is introduced simply.
并用该变分法讨论了具有可变区域的弹性系统的势能原理。
By use of the variational method, the potential energy principle of a elastic system on a variable domain is discussed.
本文采用能量变分法分别对斜拉结构和悬挂结构进行分析。
Energy variational method is adopted to analyze the cable-stayed construction and the cable suspended cantilever construction in this paper.
本文通过变分法欧拉方程推导出极小曲面的几个等价命题。
This paper investigates several equiyalent propositions of minimal curve surface by means of the euler equation of calculus of variations .
本文用严格的变分法导出了最大推力喷管出口控制面方程。
In this paper, employing rigorous variational calculus, equations of control surface at maximum thrust nozzle exit are derived.
本文提出了利用变分法解混合边值问题直接计算位系数的原理。
A variational principle is presented in this paper for directly calculating the potential coefficients in solving the mixed boundary value problem.
利用变分法研究纤锌矿结构氮化物半导体材料中的浅杂质态问题。
The shallow impurity states in wurtzite nitrides are studied by a variational method.
本文用变分法对悬臂矩形板在对称边界荷载下的稳定性进行研究。
The stability of cantilever rectangular plates under the symmetrical edge loading will be studied in this paper by the variational calculus.
本文用变分法计算了半无限晶体近表面内浅态施主杂质的基态能量。
The ground state energies of a shallow donor impurity near a sharp surface of a semi-infinite crystal are studied.
短期水电优化是过程问题，应该用泛函极值的变分法即欧拉方程求解。
Short term optimization of hydroelectric generation is a procedure problem and should be solved by the variational method of functional extreme value, i. e. , the famous Eulerian equation.
我们主要运用变分法和变指数空间的理论作为工具研究了这几个问题。
We study these variational problems respectively by the variational method and the theory of variable exponent spaces.
根据最小势能原理，使用修正变分法来分析抗拔单桩和抗拔群桩的变形。
According to the principle of the minimum potential energy the deformation of single tension pile and pile groups was analyzed using a modified variational approach.
在本文的结束部分提出了用变分法估算风场垂直分量，并给出了方法步骤。
The vertical velocity is going to be estimated by using a variational analysis method.
利用螺旋的升力线模型和变分法原理对螺旋桨叶片环量分布进行了数值优化。
The optimum distribution of circulation on a marine propeller blade is numerically determined by using the lift_line vortex model and variational calculus.
采用变分法求解薄板大挠度问题的高级近似解时将导致多元三次代数方程组。
The problem of solving large deflection plate by the variational method is changed into that of solving systems of cubic algebraic equations with multi-unknown quantities.
采用变分法定出了解析波函数的最佳参数，对各原子的能量进行了系统的计算。
The best parameters of analytical wave functions were obtained by the variational methods, and the energy of every atom was systematically calculated.
本文借助于变分法中求泛函极小化的方法提出求解超定大地边值问题的新方法。
A new method to solve over-determined geodetic boundary value problem is proposed with the help of minimizing some kinds of functional in variation calculus.
指出了用平均变分法所得结果的精度，同时也解释了在实验中观察到的某些现象。
The accuracy of the results obtained with the average variational method is shown. And some phenomena observed in the experiment are also explained.
本文用变分法并结合微扰理论分析了一种变形圆贴片宽频带微带天线的谐振频率。
In this paper, resonant frequency of the deformed circular microstrip antennas is investigated based on variational principle and the perturbation concept.
采用线性组合算符法和变分法研究了电场对抛物量子线中强耦合极化子性质的影响。
The influence of electric field on the properties of strong-coupling polaron in parabolic quantum wires are studied by using linear combination operator and variational methods.
用有限元法和能量变分法对预应力活性粉末混凝土简支箱梁的剪力滞效应进行研究。
The shear-lag effect on the prestressed RPC simply-supported box girder is studied by FEA method and energy variation method.
在声子色散影响下利用压缩态变分法计算了抛物量子点中弱耦合极化子的基态能量。
The ground state energy of weak-coupling polaron in a parabolic quantum dot considering the phonon dispersion is calculated using the squeezed-state variational approach.
本文用变分法以及ABCD定律，导出了锥形发散梯度折射率纤维透镜新的成象公式。
In tills paper, a new imaging formula for a conical defocusing GRIN fiber lens is derived by using the variational method and the ABCD law.
本文用变分法以及ABCD定律，导出了锥形发散梯度折射率纤维透镜新的成象公式。
In tills paper, a new imaging formula for a conical defocusing GRIN fiber lens is derived by using the variational method and the ABCD law.
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