并利用最小势能原理讨论了空穴分岔方程的解在各个参数区域内的稳定性，解释了空穴生成的突变现象。
Stability of solutions of the cavitated bifurcation equation is discussed in each region by using the minimal potential principle, and the catastrophic phenomenon of cavity formation is explained.
方程表示出最小势能原理。
Equation expresses the principle of minimum potential energy.
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。
Meanwhile, the bending of a rectangular plate with complicated boundary conditions is calculated by the principle of minimum potential energy with mixed variables.
应用最小势能原理，建立了折板结构分析的样条子域法。
Applying the principle of minimum total potential energy, the spline subdomain method of folded plate structures is derived.
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.
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。
With the principle of the minimum potential energy, an analytical solution for the lateral critical bucking Lord of tied-arch Bridges is studied.
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。
Based on the minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
本文讨论了基于最小势能原理的里兹法的收敛性。
The convergence of Ritz method based on the principle of minimum potential energy is discussed.
对于加筋板中筋的侧倾失稳，则通过能量法推导加强筋侧倾失稳时的总势能泛函，利用最小势能原理求解出此失稳模式下的临界应力。
In the analysis of the elastic tripping of the stiffener, the critical stress under this mode of failure is derived by using the energy method and the principle of least potential energy.
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。
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.
最后，应用最小势能原理确定位移幅值的闭合解。
Finally, a closed form solution of additional displacements is obtained by the principle of minimum potential energy.
应用最小势能原理，建立了折板结构分析的样条子域法。
Applying the principle of minimum total potential energy the spline subdomain method of folded plate structures is derived.
并用最小势能原理确定该系数，从而得到封闭解。
According to the principle of minimum potential energy, the unknown coefficients as well as the close solution can be determined.
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。
The buckling radius was deduced by using the principle of minimum potential energy, Rayleigh-Ritz method and the relevant composite material mechanics.
本文尝试用最小势能原理对这一问题作了初步探讨。
This paper tries to study this problem with the principle of minimum potential energy.
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.
利用参变量最小势能原理，求出了散体材料桩扩张问题的解析解。
By the parametric potential energy variational principle, the analytic solution of expansion problem of granular material pile is obtained.
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。
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.
本文根据结构力学最小势能原理和虚功原理，采用另外一种简便的平差手段——力学平差法来讨论以上问题，并编制了BASIC语言程序。
To treat the problem, the present article offers a simple and convenient way for adjustment—adjustment on mechanical principles accompanied by a BASIC program.
采用最小势能原理计算了缝纫及未缝纫复合材料层合板的屈曲强度。
The energy method is used to calculate the buckling strength of the stitched composite laminates, and the minimal potential energy is used to calculate that of the unstitched composite laminates.
用最小势能原理得到控制微分方程组，采用状态空间法将微分方程化为状态方程。
Utilizing principle of potential energy to obtain governing differential equations, to turn differential equations into state equations by means of state space method.
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。
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.
采用力学中建立最小势能原理和最小余能原理的加权余量法，分别得到了热传导中势能型与余能型的变分原理。
Analogue to variational principles in solid mechanics, variational principles in heat conduction are developed by the method of weighted residuals in this paper.
综合考虑了胞体中斜支柱的轴向、弯曲和剪切变形以及水平支柱的轴向变形的影响，利用最小势能原理得到了材料的弹性性能与各向异性比及相对密度的关系。
The influence of inclined struts on the elastic properties under axial, bending, and shear deformations as well as the impact of axial deformation of horizontal struts were considered comprehensively.
综合考虑了胞体中斜支柱的轴向、弯曲和剪切变形以及水平支柱的轴向变形的影响，利用最小势能原理得到了材料的弹性性能与各向异性比及相对密度的关系。
The influence of inclined struts on the elastic properties under axial, bending, and shear deformations as well as the impact of axial deformation of horizontal struts were considered comprehensively.
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