最小势能原理

基于GIS和最小势能原理的斜坡稳定性三维分析

3D stability analysis of slope based on GIS and principle of minimum potential energy

借助GIS的数据管理和空间分析功能，提出了一个基于最小势能原理的斜坡稳定性三维计算方法。

Making the best of data management and spatial analysis of GIS , this paper puts forward a method for 3D stability calculation of slope based on the principle of minimum potential energy ;

本文采用最小势能原理，推导纵向用B3样条函数表示的折板与梁条结合单元的刚度矩阵、荷载向量，并在计算机上实现了其分析过程。

In this paper , applying the principle of stationary potential , the author developed a plate-beam spline element , worked out the stiffness matrix and load matrix , and programmed this method .

本文给出了与最小势能原理的泛函等价的三类变量的能量泛函（πp）3，其中应力应变关系是变分过程中的约束条件。

A three kinds variables potential energy functional , which is equal to the functional of minimum potential energy principle , is proposed . Its stress-strain relationships are constraint condition in the process of variation .

取变截面梁柱单元的挠度函数w为五次多项式，用最小势能原理解w及梁柱的刚度系数。

Taking a fifth-order polynomial as the deflection function w of a non-uniform beam-column , the stiffness coefficient and w can be determined by the principle of minimum potential energy .

提出以3次B样条函数及最小势能原理建立的连续箱型梁桥分析的QR法。

QR method , based on cubic B spline function and the principle of minimum total potential energy , for analysis of the continuous box girder bridges is presented .

利用正弦级数和最小势能原理，解答了无拉力Winkler地基上梁的脱离问题。

In this paper , the bending problem of unbonded contact of beams on tensionless winkler foundations is investigated by sine series and principle of minimum potential energy .

本文提出的MEP单元是以满足约束条件及根据最小势能原理来构造的。

In this thesis , MEP element is proposed by the imposition of compatibility conditions at the end nodes as well as the principle of minimum potential energy .

本文根据最小势能原理推导了一个高精度、高效的梁柱MEP单元，并且导出了该模型的割线和切线刚度矩阵。

MEP element model described explicitly is formulated by using the principle of minimum potential energy , and the secant stiffness and tangent stiffness of MEP element are educed .

应用最小势能原理，推导出几何非线性位置有限元的静态问题的平衡方程，采用Newton-Raphson迭代法进行求解。

Based on the theory of the lowest potential energy , the balance equation for static problems of geometric nonlinear positional FEM is deduced ; this equation can be solved by Newton-Raphson iteration method .

子域Ritz法是基于最小势能原理，通过能量变分极值方法，寻求弹性系平衡问题的最佳逼近值。

The sub field Ritz method presented in this paper is based on the minimum potential energy principle to search an optimum approximate solution of elastic system balance problem through the method of energy variation extreme value .

从Winkler弹性地基模型出发，以单位宽纵横向有限条带为位移模式，建立矩形薄板单元总势能泛函，由最小势能原理导出刚度方程。

Based on the Winkler elastic foundation model , the total potential energy function for rectangular thin plate element is established . Taking the unit width finite strip in both length and breadth as the deflection function , stiffness equations are obtained by using minimum energy principle .

目前三维非连续变形分析方法的研究尚在初步阶段，本文从最小势能原理出发建立了三维DDA正分析模型，重点讨论了三维块体系统中几种主要接触形式，编制了相应的DDA程序。

Now the study on three dimensional DDA is only in the inchoate stage . In the thesis , the forward analysis model of three dimensional discontinuous deformation was established and several main kinds of contact have been discussed in detail and corresponding DDA programs are developed .

最小势能原理在小挠度薄板中的应用

The Minor Deflection of Sheet Used the Minimum Potential Energy

金属成形过程的回弹最小势能原理及其应用

Springback principle of minimum potential energy in metal forming processes and its application

弹塑性索网结构的最小势能原理

Little raindrops minimum principle of potential energy of elastic and plastic network structure

方程表示出最小势能原理。

Equation expresses the principle of minimum potential energy .

弹性力学最小势能原理弯曲回弹性，挠曲回弹性；弯曲回弹能，挠曲回弹能

Principle of minimum potential energy in theory of elastic - ity flexural resilience

流动理论中的参变量最小势能原理

The parametric minimun potential energy principle of flow theory

基于最小势能原理的悬臂梁弯曲研究

Research on bending of the cantilever based on the principle of minimum potential energy

然后利用最小势能原理推导了锥形桩屈曲临界荷载的计算公式。

And the formula of the buckling load was derived with the minimum potential energy principle .

大挠度弯曲直梁混合变量最小势能原理的应用

Application of the principle of minimum potential energy with mixed variables for beams with large deflections

其次从最小势能原理出发导出大变形曲梁接触问题的非线性有限元平衡方程及其边界条件。

Then , the equilibrium and boundary condition are established for the contact problem of finite deformation .

计算直梁弯曲成形回弹的最小势能原理及其有限元法

Springback principle of minimum potential energy for straight beam formed by bending & its finite element methods

一般荷载下最小势能原理和最小余能原理的图示证明法

At General Loads on a Geometrical Proof of the Principles of Minimum Potential Energy and Minimum Complementary Energy

用最小势能原理的有限元法分析一般梁的单刚

Analysis of finite-element method for specific stiffness of common girder which is based on minimum potential energy principle

基于最小势能原理，建立顶部设置加强层子结构在线性侧向荷载下的平衡方程。

Balance equation of substructure subjected to lateral load is established based on the minimum potential energy principle .

然后根据最小势能原理，导出了弹性体的离散方程。

Afterwards , discrete equations for elastic body are derived by use of the minimus potential energy principle .

并且利用最小势能原理，证明了在某些情形下微孔增长的跳跃性；

In certain cases , it is proved that void growth is jumping by using the minimum potential principle .

在最小势能原理的基础上建立的有限元列式，可以对任意截面形式组合梁的自由扭转进行分析。

The finite element formulation is also presented to analyze the free torsion of composite beams with arbitrary section .