圣维南原理

双辊铸轧辊套温度场分布的圣维南原理现象

A Phenomenon Following Saint-Venant Principle in Temperature Field of Roll Shell during Twin-Roll Casting

最后根据圣维南原理，选择典型工况分析了拱脚结点内部应力分布状况，并得出一些有益结论。

Finally , the skewback 's inner force is analyzed under typical Conditions based on Saint-Venant Principle and advance some conclusions and suggestions .

圣维南原理研究工作综述

A Review of Researches on Saint & Venant 's principle

正交异性板三维高阶渐近分析的圣维南原理表述和应力边界条件

Saint-Venant 's Principle and Stress Edge Conditions for Orthotropic Plates in Higher-order Asymptotic Analysis

本文综合评述有关圣维南原理的研究工作所涉及的方面及其主要进展和问题。

In this paper , the general development and questions concerning , the researches on Saint-Venant 's principle are given .

论圣维南原理相对于线性弹性力学的不协调性&数理逻辑在弹性力学中的应用

On the Inconsistency of St. Venant 's Principle Relative to Linear Elasticity & An application of mathematical logic to elastic mechanics

该文用链式模型和诸能量原理为圣维南原理提出了几个一般性的能量衰减指标。

Several common energy indices of Saint-Venant 's Principle are put forward by means of the chain model and energy principles .

发现辊套温度场分布规律与弹性力学中的应力场分布遵循圣维南原理相似。

It is found that the distribution of temperature field in roll shell is just like a stress field following Saint-Venant principle in elastic mechanics .

同时对外载等效中经常出现的横向双力矩这一广义力进行研究，指出它在开口和闭口薄壁梁约束扭转问题中和圣维南原理适用条件中分别占有不同的地位。

A new point is put forward that transverse bimoment has different influence on the two kinds of cross section thin-walled beams , and on their St-Venant principle conditions .

然后求出非零本征值对应的本征解，它们是局部效应的解，其影响随距离迅速衰减，是圣维南原理所覆盖的部分。

Then the eigen-solutions of nonzero-eigenvalues are also obtained , which are the solutions having the local effect , decay drastically with respect to distance and are covered in the Saint-Venant principle .

在边界点上采用状态变量直接描述边界条件，不需要利用圣维南原理，从而实现对边界附近物理场更精确的描述。

State variables are used to express the boundary conditions at the end points , without the necessity of using the Saint-Venant principle , and the behavior in the near-boundary zone can be precisely modeled .

导出两类具有分片光滑边界面和圣维南原理条件的弹性体中应力分量的极限，并把其作为该两类问题的圣维南原理的数学表达。

The limits of stresses in the two categories of elastic bodies with piecewise smooth boundaries and the conditions posed by Saint-Venant 's Principle are deduced and considered as the mathematical expressions of Saint-Venant 's Principle for the problems .