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平板理论
相关语句
  plate theory
    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
  “平板理论”译为未确定词的双语例句
    In the theory of thin plate, the bending of cantilever plates has been considered as one of the most difficult problem. Sine 1977, Prof. F.
    悬臂板的弯曲问题是平板理论中的难题之一,清华大学的张福范教授,自1979年以来,应用迭加的方法,获得了悬臂矩形板在均布、集中外载情况下弯曲问题的准确解。
短句来源
    A new theory of plate which incorporates accurately the effects of lateral deformation and normal street is described in this paper.
    本文提出一种可以精确考虑平板的横向剪切变形和法向正应力影响的平板理论
短句来源
    On the basis of Reissner's theory, the normal line of central plate is still straight after deformation. But if sheer strains are considered, the normal line is not vertical to the central olane.
    根据Reissner平板理论,变形后板的中面法线仍保持为直线,但考虑剪切变形后,它将不再垂直于变形了的中面。
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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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。

The bending of a cantilever rectangular plate is a very complicated problem in the theory of plates. For a long time, there have been merely approximate solutions for this problem by energy methods and numerical methods.

悬臂矩形板的弯曲问题是平板理论中的一个难题.多年来,对于这种板只有能量法与数值解法的近似解.1979年以来清华大学张福范教授等用迭加法陆续得出悬臂矩形板在均布荷载和一些集中荷载作用下的解析解.对于在均布荷载作用下的悬臂矩形薄板,本文用双向三角级数法获得了其挠度函数的解析解,并将所得结果与迭加法所得的结果进行了比较.通过比较表明,两种方法计算的结果符合得十分好,因而相互印证了它们的正确性.

The displacement field and stress field of plates are expressed by the Tailor series in raid-surfaces in relation to their thicknesses, thus.the bending problem virtual in spatial elasticity theory being simplified to that in two dimensions. Based on the unified displacement field and stress field, governing equations and boundary condition are derived in terms of generalized displacement, generalized strain and generalized internal force (or generalized stress). Therefore the unified theory of plate bending...

The displacement field and stress field of plates are expressed by the Tailor series in raid-surfaces in relation to their thicknesses, thus.the bending problem virtual in spatial elasticity theory being simplified to that in two dimensions. Based on the unified displacement field and stress field, governing equations and boundary condition are derived in terms of generalized displacement, generalized strain and generalized internal force (or generalized stress). Therefore the unified theory of plate bending is established. At the same time the ories of plates one classified according to the number of terms in the Tailor series of generalized displacement and generalized stress to be taken. Applicable ranges of these various plate theories are pointed out roughly.

本文把板的位移场和应力场表示成在板的中面上对厚度的Taylor级数展开式,从而把实质上是三维弹性理论问题的平板弯曲问题,简化成二维问题来处理。从这样的统—位移场和应力场出发,应用三维弹性理论,推导出了以广义位移、广义应变和广义内力(或广义应力)表示的基本方程和边界条件,建立了平板弯曲问题的统一理论。同时,还根据在统一的位移场和应力场中所取级数项数的不同,将平板理论加以分类,并粗略地指出各种平板理论的适用范围。

 
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