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平板理论
相关语句
  plate theory
    The whole cracked plate governed by Reissner plate theory can be divided into three differentregions by their stress characteristics,that is,the interior region(region Ⅰ),the Reis-sner boundary layer(region Ⅱ),and the singular region around the crack tip(regionⅢ).
    在Reissner 平板理论的范围内,将含裂纹平板的应力状态分解为外场区(Ⅰ区)、Reissner 边界效应区(Ⅱ区)和裂纹尖端附近的奇异性区(Ⅲ区)等基本应力状态.
短句来源
  “平板理论”译为未确定词的双语例句
    The formulations arefirst established for potential problems,elastostatic problems and Kirchhoff's plate problemswith the restriction of Liapunov boundary regular surfaces.
    论述范围包括位势问题、弹性静力学问题和克希霍夫型平板理论的边界积分方程—边界元法.
短句来源
    Rcissuct's plate-bending theory, analytical solutions of bending problems of rectangular plates of moderate thickness arc presented. By the use of Eqs. (5) and (9) in this paper, bending problems of above mentioned plates with various boundary conditions undr the action of lateral uniform loading, and under the combined action of lateral uniform loading and edge bending moment may be solved.
    本文根据Rcissncr平板理论,提出了矩形中厚板弯曲问题的解答,应用本文中的(5)、(9)式,可求解通常边界条件下,承受横向均布力q_0以及承受横向均布力和板边法向弯矩等组合荷载共同作用下的矩形中厚板的弯曲问题,而且使这类问题的解答规律化。
短句来源
    n this paper,complex varible analytic method for solving dynamic stressconcentration in thin plate with cutouts is proposed.
    本文采用弹性平板理论及复变函数理论,对含孔无限大平板弹性波的散射及动应力集中问题进行了分析研究,建立了求解平板开孔动应力集中问题的复变函数方法。
短句来源
    Complex varible analytic method for soving dynamic stress concentration in thin plate with cutouts is proposed.
    采用弹性平板理论及复变函数理论,对含孔无限大平板弹性波的散射及动应力集中问题进行了分析研究,建立了求解平板开孔动应力集中问题的复变函数方法。
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  plate theory
For a thin plate, the method was clarified by comparison with the thin plate theory.
      
(2004), and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.
      
The validity of the use of the plate theory in transport processes with non-Gaussian peak shapes is discussed.
      
It is shown that the application of the plate theory implies the assumption of a peak with a gamma density shape which, however, converges rapidly to symmetrical Gaussian shape for large plate numbers.
      
A proposal for an extension of the plate theory, based on a gamma density function is given.
      
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In this paper the whole state of stress in the elastic orthotropic sandwich plates is analyzed. It is composed of the following elementary states of stress: the state of stress corresponding to the classical theory of plates, corrective state of stress, and Reissner's boundary effects. Six kinds of boundary conditions, including a kind of stiffened free edges, are considered. Under the action of transverse loads, the asymptotic solutions based on the three-variable theory for sandwich plates with various boundary...

In this paper the whole state of stress in the elastic orthotropic sandwich plates is analyzed. It is composed of the following elementary states of stress: the state of stress corresponding to the classical theory of plates, corrective state of stress, and Reissner's boundary effects. Six kinds of boundary conditions, including a kind of stiffened free edges, are considered. Under the action of transverse loads, the asymptotic solutions based on the three-variable theory for sandwich plates with various boundary conditions are obtained. It is shown that the relative intensities of the three parts of elementary states of stress are different under various boundary conditions. The three-variable theory and the two-variable approximate theory for orthotropic and isotropic sandwich plates are compared in the light of the results of asymptotic solutions.

本文分析了正交各向异性夹层平板的全应力状态.它由以下分部应力状态所组成:古典平板理论的应力状态;修正应力状态;Reissner边界效应.考虑了包括加强自由边的六类边界条件.在一般横向载荷作用下,求得各种边界条件下正交各向异性夹层平板的基于三变量理论的渐近解;并指出对不同的边界条件,各分部应力状态之间的比重是不同的.用渐近解的结果对三变量理论与二变量理论作了比较.

The direct boundary integral equation-boundary element method in elasticity isdeveloped by inner product forms of weighted residual processes.The formulations arefirst established for potential problems,elastostatic problems and Kirchhoff's plate problemswith the restriction of Liapunov boundary regular surfaces.The variational functionals arealso given and the corner conditions are discussed.By proper treatment of the specific fundamental solutions and numerical discretiza-tions a series of concrete problems...

The direct boundary integral equation-boundary element method in elasticity isdeveloped by inner product forms of weighted residual processes.The formulations arefirst established for potential problems,elastostatic problems and Kirchhoff's plate problemswith the restriction of Liapunov boundary regular surfaces.The variational functionals arealso given and the corner conditions are discussed.By proper treatment of the specific fundamental solutions and numerical discretiza-tions a series of concrete problems are solved.The results of investigation include:torsionalproblem of shafts with variable diameter,axial loading of axial symmetric bodies,bendingof axial symmetric bodies and the plate bending problems.The investigation also showedthat such a kind of numerical results is necessary for improving and increasing the accu-racy of the useful engineering data of stress concentration and plate problems(includingthe cases of free boundaries and corner points).

本文第一部分对于直接法弹性力学边界积分方程的基本理论作了论述,全文采用内积公式以加权余量形式来建立边界积分方程.论述范围包括位势问题、弹性静力学问题和克希霍夫型平板理论的边界积分方程—边界元法.文中同时写出相应的变分格式.并讨论了非光滑边界的处理.本文第二部分简介对若干具体问题用特定的基本解进行的有关数值计算.文中介绍的研究组所获初步结果包括:迴转体的扭转、轴对称问题和弯曲问题,以及平板弯曲问题的边界积分方程—边界元法应用的具体结果.计算结果表明对于改进和扩充工程实用应力集中数据及平板计算(包括自由边界及角点问题)将是有益的.

The stress states and the asymptotic solution of bending SIF for cracked plates including transverse shear deformation are investigated by the asymptotic approach.The whole cracked plate governed by Reissner plate theory can be divided into three differentregions by their stress characteristics,that is,the interior region(region Ⅰ),the Reis-sner boundary layer(region Ⅱ),and the singular region around the crack tip(regionⅢ).Eigen-expansion analysis is used to get the stress-displacement field around thecrack...

The stress states and the asymptotic solution of bending SIF for cracked plates including transverse shear deformation are investigated by the asymptotic approach.The whole cracked plate governed by Reissner plate theory can be divided into three differentregions by their stress characteristics,that is,the interior region(region Ⅰ),the Reis-sner boundary layer(region Ⅱ),and the singular region around the crack tip(regionⅢ).Eigen-expansion analysis is used to get the stress-displacement field around thecrack tip,and two different matching schemes are provided to find the bending SIF.Forthe case of symmetric loading,the zero order approximation of stresses and displace-ments,as well as a general integral expression for bending SIF,are found by the region-to-region matching scheme.When the small parameter (?) tends to zero,the simple relationsbetween the bending SIF for Reissner's plate theory and that for Kirehhoff's plate theoryare also established as follows:K_1~R=((1+v)/(3+v))K_1~C K_2~R=K_2~CBaed on the above results,the stress state characteristics of cracked plates and the method for simplifying the calculation are discussed.

本文用文[1]的渐近分析方法,研究了考虑横向剪切变形的含裂纹平板的应力状态和应力强度因子的渐近解.在Reissner 平板理论的范围内,将含裂纹平板的应力状态分解为外场区(Ⅰ区)、Reissner 边界效应区(Ⅱ区)和裂纹尖端附近的奇异性区(Ⅲ区)等基本应力状态.用特征分析方法,导出了裂纹尖端区的应力——位移场;并提出了两种匹配展开的渐近求解方案:对载荷对称情况,用逐区匹配求解的方法求得了当小参数趋近于零时,含裂纹平板的应力场与位移场的渐近解和应力强度因子的一般积分表达式;并证明当小参数趋近于零时,对应于对称型(Ⅰ型)、反对称型(Ⅱ型)的应力强度因子K_1~R、K_2~R 和按古典平板理论提法下的应力强度因子K_1~c、K_2~c 之间存在简单的解析关系:K_1~R=((1+v)/(3+v))K_1~c,K_2~R=K_2~c在此基础上,讨论了含裂纹平板应力状态的特征和简化计算的方法.

 
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