根据变分法和ABCD定律，导出了非线性锥形梯度折射率棒透镜中高斯光束的成像公式。
Imaging formulas of Gaussian beams in nonlinear conical GRIN rod lenses are derived from the variational method and the ABCD law.
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.
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.
本文利用离散变分法（DVM）和集团模型研究了铝中氢—空位复合体的电子结构和几何构型。
The discrete variational method (DVM) and cluster model are used to study the electronic structure and atomic configuration of the hydrogen-vacancy complex in aluminum.
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 .
利用改进变分法求出了正切作用量的四维SU_（2）格点规范理论的元格内能和比热曲线。
By using improved variational method, the internal energy per plaquette and the specific heat curves of the Tangent action in SU(2) lattice gauge theory arc worked out.
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.
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.
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.
本文采用变分法和数值方法研究了具有随机色散的光时分复用系统中色散管理孤子相互作用。
Dispersion-managed soliton interaction is investigated in an optical time-division multiplexed system with random dispersion map by the variational approach and the numerical simulation.
然后利用变分法求得了超导波态系统的基态能量表达式，并讨论了光子对的形成条件。
The expression of ground energy is given by means of variational method, and the condition of formation of photon pairs discussed.
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.
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.
本文从混合变分法原理着手，对弹性接触问题提出一种新的数学模式，并从中导出有限元的近似公式。
A new mathematical model for the non-Hertz contact problems is proposed based on the mixed variational principle. From this model, the finite element approximate formulae are derived.
用广义变分法来计算桥上无缝线路附加力，提出了研究桥上无缝线路附加力计算的新方法。
The author applies generalized variational methods to calculate the additional expansion and contraction forces of CWR on bridge.
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.
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.
采用变分法定出了解析波函数的最佳参数，并对各原子的能量进行了系统的大量计算。
It gave the best parameters of analytical wave functions by the variational methods, and large-scale systematically calculated the energy of every atom.
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.
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.
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.
利用能量变分法，分析组合梁在界面产生相对滑移后，其组合梁翼缘板有效宽度的变化规律。
Based on energy-variational method, the interface slippage of composite beams and the variation of the effective width are analyzed.
在此基础上又讨论了自洽能带计算和经验调整能带计算方法，从而给出了分区变分法的一个完整的概貌。
On this basis the self-consistent energy band calculation and the empirically adjusted method are discussed, thus a general picture for the zone-variational method is shown.
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.
变分复形是用来研究拉氏系统的理论工具，利用一个正合的变分复形可以解决很多变分法方面的问题。
A variational complex is a theoretical tool for the rigorous study of Lagrangian systems. Using an exact variational complex can solve many problems about the variational calculus.
采用复变-变分法求解受钉传载荷含边缘裂纹各向异性与各向同性板的应力强度因子。
Description is given for a complex variable-variational method to investigate the stress intensity factors in anisotropic and isotropic plates with edge cracks subject to pin loads.
采用复变-变分法求解受钉传载荷含边缘裂纹各向异性与各向同性板的应力强度因子。
Description is given for a complex variable-variational method to investigate the stress intensity factors in anisotropic and isotropic plates with edge cracks subject to pin loads.
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