求解方法的基础是变分原理。
The foundation of the solving methods is the variational principle.
首先改进互补变分原理。
根据离散变分原理建立离散系统的运动方程。
Based on discrete variational principle, the equations of motion for the discrete systems are established.
变分原理的边界积分项对于相邻单元互相抵消。
The boundary integral terms of variational principle are cancelled mutually for the adjacent elements.
变分原理的边界积分项对于相邻单元相互抵消。
The boundary integral terms of the variational principle are cancelled mutually for the adjacent elements.
应用拉氏乘子法推导有先决条件的广义变分原理。
The derivation of generalized variational principles with preconditions by the use of the Lagrange multiplier method.
利用变分原理得到平衡微分方程组和相应的边界条件。
By variational principle we obtain a system of differential equations and corresponding boundary conditions.
根据分区广义变分原理，直接导出问题的求解方程式。
Based on the sub-region generalized variational principle, the solving equations of the problem are derived directly.
根据地下水的连续方程和变分原理建立渗流场微分方程。
Based on the continuity equation of ground water and the variation principle, the seepage differential equation can be acquired.
已有的一些文献指出，薛定谔变分原理中的极值是极小值。
Some references indicated that the extremum in the Schrodinger variational principle is a minimum.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
用张量形式通过变分原理导出了无约束物体的动力学普适方程。
An universal dynamic equation for unrestrained body has been derived in the form of tensor by using variation method.
用变分原理在不规则结构网格上建立热流通量形式的差分格式。
Using the variational principle, the difference scheme with thermal-flux form in the irregular structured mesh is presented.
在非正规六面体网格上，用变分原理建立扩散流形式的差分格式。
Using variation principle, the difference discrete scheme with diffusion flux form on the irregular hexahedral grid is constructed.
利用两个具有解析解的算例研究基于变分原理的自适应网格技术。
Two computational cases that have analytic solutions are employed for studying the adaptive grid technique based on the variational principle.
本文应用哈密顿变分原理较简捷地建立了厚梁横向振动的微分方程。
The differential equation for transverse vibration in thick beam is easily established by applying the Hamilton's variance principle.
基于变分原理，研究渗流分析中模拟排水孔和不连续面的复合单元法。
Based on the variation principle, the composite element method (CEM) is studied for seepage analysis considering discontinuous surfaces and drainage holes.
根据位移变分原理，建立有限杆元模型，对薄壁杆进行侧向稳定分析。
The present study is focused on establishing a finite member element model, based on energ.
本文给出了非线性弹性动力学两时端边值问题的某些一般定理及变分原理。
In this paper, some general theorems and variational principles of the boundary value problem for two time instants in nonlinear elastodynamics are developed.
我们知道，扰动优化或变分原理在非线性分析领域中也起到了很大的作用。
As we know, perturbed and optimization and variational principle play an important role in nonlinear analysis.
然后利用拉格朗日乘子法，吸收第一类边界条件，从而得出其广义变分原理；
Then its generalized variational principle is established on the basis of Lagrange multiplier method by absorbing the first kind of boundary condition.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
然后应用拉氏乘子法于有限变形回弹变分原理建立有限变形广义回弹变分原理。
Then, Lagrange arithmetic operator is applied in variation principle of finite deformation resilience to establish a generalized variation principle of springback.
文中第一部分分别导出了预应力混凝土板在弹性理论和徐变理论中的变分原理。
In the first part of the paper, variation principles in the elastic and creep theory for prestressed concrete plates are derived respectively.
这个方法是建立在三次样条函数、梁振动函数(或三角函数)及变分原理基础上。
The method based on the cubic B-spline function, beam vibration function (or trigonometric functions) and variation principle.
然后由变分原理并进行线性化得出了含内埋圆形或椭圆形脱层板的屈曲特征方程。
Then, buckling characteristic equations for laminates with built-in circular or elliptical delaminations are derived by using the variational principle and linearized method.
本文从弹性力学分区变分原理出发，提出一种新的有限元与边界元的对称耦合方法。
The paper presents a new symmetric coupling approach of BEM and FEM, which is based on the sub-region variational principle.
本文应用分区广义变分原理，提出了求解含有裂纹的型材应力强度因子的计算方法。
A calculation method is proposed to determine the crack tip stress intensity factors for sections on the basis of zonal generalized variational principles.
曲线梁的理论研究主要采用平衡法、能量法以及基于变分原理的虚功(位移)方法。
Theoretical studies of curved girders mainly adopted the methods of balanced method, energy method and variation-based method of virtual work (displacement).
曲线梁的理论研究主要采用平衡法、能量法以及基于变分原理的虚功(位移)方法。
Theoretical studies of curved girders mainly adopted the methods of balanced method, energy method and variation-based method of virtual work (displacement).
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