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平板理论
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  plate theory
     The main research contents are as follows:Firstly, that thesis set up the math model of thermal field and did numerical simulation by finite element analysis in terms of the special physical model and heat transferring characteristic of this coating. Then stress analytical solutions of every checking point was caculated according to the plate theory in the same thermal field, and compared with finite element solutions, the same trend was achieved.
     该文首先针对ZW100-A陶瓷绝热防腐涂料的特殊物理模型和在整个过程中涂层系统传热特点,建立温度场数学模型并进行有限元数值模拟,然后在相同的温度场条件下,利用平板理论计算出校核点所受应力的解析解,并与有限元解进行比较,应力的变化趋势基本一致。
短句来源
     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
     The conception of modified simply supported edge has been studied with complements and extension with the application of E. Reissner's plate theory by which the effect of transverse shear deformation on bending plates has been taken into account in particular.
     本文将广义简支边的概念加以补充和推广,以便应用考虑横向剪切变形影响的Reissner平板理论
短句来源
     In accordance with E. Reissner's plate theory, in this paper, common forms of the partial differential equations as well as their analytical solutions to bend-ing and stability problems for rectangular plate of moderate thickness are con-sidered.
     本文根据Reissner平板理论,推导得到了矩形中厚板弯曲和稳定问题偏微分方程组的共同形式及其解析解的共同格式.
短句来源
     The dynamic response of simply supporting rigid-plastic circular plate is analyzed using the plastic limit method along with Taylor plate theory.
     分析了简支刚塑性圆板受水下爆炸载荷时的塑性动力响应。 考虑到流固耦合作用,应用Taylor平板理论求水下爆炸压力,用刚塑性法分析了圆板的永久变形场,引入膜力因子考虑了圆板大变形时的膜力效应。
短句来源
  plate theories
     The obtained exact solution could serve as a benchmark result to assess other approximate methodologies or as a basis for establishing simplified functionally gradient piezothermoelectric material plate theories.
     所获得的精确结果可作为评价其他近似方法的标准解答或者作为建立简化的功能梯度热释电材料平板理论的基础.
短句来源
     From main reasons causing the error of glass distortion in Newton's rings experiment, a rectified formula of data processing is given with the use of Plate theories and the method of polynomial combination. A comparison with the traditional method of progressive difference is also conducted.
     分析牛顿环实验误差产生的主要原因——玻璃交形出发,用平板理论和多项式拟合,给出了处理实 验数据的修正公式,并与传统的逐差法等处理结果进行了比较。
短句来源
  “平板理论”译为未确定词的双语例句
     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。
短句来源
     As regards to the spheric thin shell structure under external hydro static pressure,basing on flat-plate theory and by using basic Von Karman equations for large deflection,the equilibrium problem of axisymmetric bending of the spheric shell under uniform external pressure is simplified to an equilibrium problem of bending of elastic basic flat-plate and further converted into an equilibrium problem of beam on elastic fundation taking into consideration of the deformation characteristics.
     对球形薄壳结构随静水外压的情况,应用平板理论中的Von Karman大挠度基本方程,将球形薄壳在均匀外压下的轴对称弯曲平衡问题简化为弹性基础平板的弯曲平衡问题,进而再根据变形特点将其转化为弹性基础梁的复杂弯曲平衡问题。
短句来源
     By means of these principles, a 200mm×200mm metal plat is used for comparting its theoretical and measured data. Very good results are obtained that verify the correctness of the principles.
     最后通过200mm×200mm的金属平板理论值和测量值的比较,说明上述分析的正确性。
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
     A fourth-order variational inequality of the second kind, deduced from plate bending problems with friction term, is considered and the finite element approximation for this problem is discussed.
     以弹性力学平板理论中的单侧稳定问题为背景,讨论了第二类四阶变分不等式的有限元逼近.
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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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  theory of elasticity
The solution of the boundary value problems of the theory of elasticity is sought in the form of expansions into series of the associated Legendre polynomials.
      
It is shown that when there are no gas phases and the liquid is incompressible the system of equations reduces to the general equations of the theory of elasticity of an anisotropic body with fictitious stress components.
      
Averaged systems of equations of the theory of elasticity in a medium with weakly compressible inclusions
      
The latter provides an explanation for the generation of the second shear harmonic that is observed in real solids contrary to the predictions of the nonlinear theory of elasticity, which prohibits such phenomena.
      
Possible descriptions of phasons in incommensurate crystal phases and quasicrystals have been reviewed in terms of the theory of elasticity and superspace symmetry.
      
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  plate theories
The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for prescribed displacement edge data.
      
Analytical relations between eigenvalues of circular plate based on various plate theories
      
A series of numerical examples shows the influence of orthotropy parameters (treated as the level of anisotropy), stacking sequences, FE models and the employed 2-D plate theories of structures on the resulting optimal shapes.
      
A justification of nonlinear properly invariant plate theories
      
A single asymptotic derivation of three classical nonlinear plate theories is presented in a setting which preserves the frame-invariance properties of three-dimensional finite elasticity.
      
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In this paper is presented a simplified two-variable approximate theory, based on the C. Libovc and S. B. Batdorf's theory[6] for elastic orthotropic plates with transverse shear deformations. Assuming that there exists a potential function (x, y) for the traps-verse shear angles rx and ry (see eq. (2.9)), the total potential energy If (eq. (2.8)) can be expressed in terms of two independent unknown functions, the plate deflection w(x, y) and the potential (x, y). By the use of the principle of minimum potential...

In this paper is presented a simplified two-variable approximate theory, based on the C. Libovc and S. B. Batdorf's theory[6] for elastic orthotropic plates with transverse shear deformations. Assuming that there exists a potential function (x, y) for the traps-verse shear angles rx and ry (see eq. (2.9)), the total potential energy If (eq. (2.8)) can be expressed in terms of two independent unknown functions, the plate deflection w(x, y) and the potential (x, y). By the use of the principle of minimum potential energy the Eulcr dcffercntial equations (1.11) for w and and the boundary conditions (1.12)-(1.15) are obtained in Appendix I. The comparision between the results for critical compressive load for a particular case of square simply-supported plate based on the present theory and Robinson's results[8] based on [6] shows that the discrepancy is small, if the anisotropy is not too significant (Table I). It is shown in Appendix H. that for polygonal simply-supported isotropic plates for both the bending and the stability problems the present theory always gives the same results as the theory in [6]. Two kinds of free edges arc distinguished: "entirely free edges" with the boundary conditions as (3.14) and the "stiffened free edges" with the boundary conditions as (3.17). Analysis of examples for orthotropic plates with free edges shows that, in general, cannot be interpreted as the shear deflection.

本文根据C.Libove与S.B.Batdorf关于考虑剪切变形的正交各向异性弹性平板理论建立了一种简化的二变量近似理論。假设横向剪切角r_x与r_y具有势函数φ(见式(2.9),总位能Π(式(2.8))可以通过两个独立函数即板的挠度w(x,y)与势函数φ(x,y)表出。在附录1中利用最小位能原理推出了w与φ的Euler微分方程(1.11)与边界条件(1.12)-(1.15)。計算了四边簡支的方板的一个特例的临界受压載荷,计算結果与Robinson根据文献[6]所作的結果的比較,表明其间的差异很小,如果各向异性的程度不过于显著的話。在附录Ⅱ中证明了,对于直线多边形各向同性簡支板来讲,无論是弯曲或稳定問題,本文結果恆与根据文献[6]的理諭得到的結果一致。区別了两种不同的自由边:“完全自由边”,其边界条件的形式如式(3.14);“加强自由边”,其边界条件形式如式(3.17)。对具有自由边的正交异性板的分析表明,一般說来,φ不能解释为剪切挠度。

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.

 
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