Meanwhile, the bending of a rectangular plate with complicated boundary conditions is calculated by the principle of minimum potential energy with mixed variables.
同时，应用混合变量的最小势能原理于计算一复杂边界条件矩形板的弯曲。
Applying the principle of minimum total potential energy, the spline subdomain method of folded plate structures is derived.
应用最小势能原理，建立了折板结构分析的样条子域法。
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.
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。
The ground state wave function can be expressed as a series of integrations along the trajectory and the energy as a series of differentials at the minimum of the potential.
基态波函数可以表示为沿这条确定轨迹的一系列积分，而能量则可以用位势极小值处的一系列微分表示。
Based on the minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
基于能量法中的最小势能原理，结合欧拉方程建立了构件变形后的中性平衡微分方程。
According to the principle of minimum potential energy, the governing differential equations and boundary conditions are established for T-beams with wide flanges under vertical bending.
根据最小势能原理，建立宽翼缘t梁竖向弯曲的控制微分方程及边界条件。
Four reasonable geometries on the potential energy hypersurface of glycine and water system are considered with the global minimum being a cyclic double-hydrogen bonded structure.
在这个体系中，我们找到了甘氨酸和水作用的四种稳定构型，其中最稳定的构型是一个环状的双氢键结构。
With the principle of the minimum potential energy, an analytical solution for the lateral critical bucking Lord of tied-arch Bridges is studied.
利用最小势能原理推导了肋拱桥结构在外荷载作用下侧倾稳定临界力的近似解析解。
The convergence of Ritz method based on the principle of minimum potential energy is discussed.
本文讨论了基于最小势能原理的里兹法的收敛性。
According to the principle of minimum potential energy, the unknown coefficients as well as the close solution can be determined.
并用最小势能原理确定该系数，从而得到封闭解。
The Minimum Potential Energy Principle is used to set up the equations of stability and second-order displacement analysis.
可用于高层筒体结构及剪力墙结构等的空间稳定及二阶位移分析。
Applying the principle of minimum total potential energy the spline subdomain method of folded plate structures is derived.
应用最小势能原理，建立了折板结构分析的样条子域法。
The numerical results show that the energy levels of electron are sensitively dependent on the radius of the quantum ring and a minimum exists on account of the parabolic confinement potential.
数值计算结果显示，电子能级敏感地依赖于量子环半径，能级存在极小值，这是由于限制势采用抛物势的结果。
Compared all kinds of two-dimension limit equilibrium methods and two-dimension the Principle of Minimum Potential Energy methods.
比较了各种二维极限平衡方法和二维最小势能方法。
Finally, a closed form solution of additional displacements is obtained by the principle of minimum potential energy.
最后，应用最小势能原理确定位移幅值的闭合解。
The buckling radius was deduced by using the principle of minimum potential energy, Rayleigh-Ritz method and the relevant composite material mechanics.
利用最小势能原理、瑞利-利兹法以及相关的复合材料力学理论，推导出预浸料侧向屈曲半径公式。
Finally the closed solution about the amplitude is obtained from the principle of the minimum potential energy.
最后用势能原理确定该幅值而得到封闭解。
By using 3-d isoparametric element, the global stiffness matrix equation for the piezoelectric laminate is obtained on the bases of minimum principle of total potential energy.
由于最小势能原理，建立了单元刚度矩阵和压电材料的整体刚度方程。
The algorithm given in this paper inherits the basic idea of potential energy field method. By searching the minimum value of the energy function, the collision free path can be found.
算法继承了人工势场法的基本思想，通过寻找路径点的能量函数的极小值点而使路径避开障碍物。
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.
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。
By calculation, it is proved that the solution is well suited to some rectangular plates with a free end. So, the principle of minimum potential energy with mixed variables is proved for the plates.
通过文中计算表明，混合变量的最小势能原理适用于有一个悬空角点矩形板稳定问题的求解，从而验证了它用于薄板稳定问题的一般性和通用性。
The numerical manifold method of Laplace equation was presented, it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM.
本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
The numerical manifold method of Laplace equation was presented, it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM.
本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
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