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相似性理论
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  similarity theory
    However, some basic but crucial problems still remain unsettled: in the aspect of plate bending element, there exists the problem of imbalance between the development of plane elasticity elements and that of plate bending elements, which is not compatible with the similarity theory between plane elasticity and plate bending, for according to the theory the two systems, plane elasticity and plate bending, are isomorphic;
    但是,仍然存在一些基本而又不容忽视的问题有待研究解决。 在板弯曲单元方面,不可否认的是板单元与平面弹性单元这两个研究领域的发展并不均衡,这一现状是与平面弹性和板弯曲的相似性理论不相协调的,因为该相似性理论表明平面弹性和板弯曲这两个理论体系是同构的。
短句来源
    In the first place, with the similarity theory, a bridge is set up between plane elasticity and plate bending to transform those good plane elasticity elements into plate bending elements;
    研究的目的和解决方案首先是利用相似性理论在平面弹性有限元与板弯曲有限元之间建立一道桥梁,则可以将平面弹性中性能良好的单元转化为板弯曲单元。 之后可以在此基础上以壳体的静力—几何比拟为指导理论构造新型薄壳单元。
短句来源
    A new effective way to formulate thin plate element can be realized by using the similarity theory between plane elasticity and plate bending.
    平面弹性与板弯曲的相似性理论为构造薄板单元提供了一条有效的新途径。
短句来源
  “相似性理论”译为未确定词的双语例句
    THE PSEUDO-SIMILARITY THEORY OF THE PLANE TURBULENT MIXING LAYER
    平面湍流混合层的准相似性理论
短句来源
    On the theory of pseudo - similatity in the turbulent axial symmetric wake flows
    轴对称湍尾流中的准相似性理论
短句来源
    Physical and mathematical methods are applied to the further study on dimensional analysis, including water flows in a channel, the moving of round exploding waves and the flow of viscous fluid.
    应用相似性理论 ,利用物理概念及数学方法 ,讨论了量纲分析法的进一步细化 . 以不可压缩流体从水槽流出、可压缩流体从水槽流出以及均匀吸入或鼓出的粘性流体的流动为例 ,从物理概念入手 ,运用数学方法 ,得出物理意义更明确的细化解 .
短句来源
    Based on the analogies between plane elasticity and thin plate bending problem,the thin plate bending under symplectic geometry form was solved by direct method.
    利用平面弹性与板弯曲的相似性理论,用直接法研究辛几何形态下的薄板弯曲问题。
短句来源
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  similarity theory
The problem of vapor diffusion toward a droplet nucleated and growing in the diffusion regime is exactly solved using the similarity theory.
      
Based on the similarity theory, the parameters of similitude are invoked for orbits and perturbations.
      
Most engineering methods for calculating the properties of plasma generators use similarity theory to derive dimensionless equations to generalize experimental results [1].
      
A general functional dependence of the engine current on the basic dimensionless parameters is obtained on the basis of similarity theory and dimensional analysis.
      
The approach is based on modern theoretical notions concerning the dependence of mass transfer on conjugated effects of concentration polarization, such as electroconvection and the exaltation effect and makes use of the similarity theory principles.
      
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In this paper,the first approximation solution of incompressiable axis - symmetrical turbulentwake flow using theory of pseudo - similarity has been given. We consider the continuity equation,the mean motion equations and the equations of the double velocity correlations with ignoring thetriple velocity correlations correlation equations. We introduce the hypothesis of the self preservation,and have gotten the theoretical results of the mean velocities the double velocitycorrelations and the turbulent micro...

In this paper,the first approximation solution of incompressiable axis - symmetrical turbulentwake flow using theory of pseudo - similarity has been given. We consider the continuity equation,the mean motion equations and the equations of the double velocity correlations with ignoring thetriple velocity correlations correlation equations. We introduce the hypothesis of the self preservation,and have gotten the theoretical results of the mean velocities the double velocitycorrelations and the turbulent micro - scale,etc. by using the method of second substitution. Theyare identical with the experimental results.

本文应用准相似性理论,给出了不可压缩轴对称湍尾流的一级近似解.求解时,考虑连续性方程、平均运动方程以及忽略三阶关联项的二阶脉动速度关联方程,采用自模拟假设,并利用二次选代,得出与实验较为符合的平均速度、二阶脉动速度关联项和湍流微尺度等的理论计算结果.

The experiments of aerodynamic-aeroacoustic performance in axial fans in non-self-stimulated and self-stimulated domain are carried out. Compare enlarged model fans in self-stimulated domain and small-scale fans in non-self-stimulated domain, their aerodynamic-aeroacoustic performances are not almost similar, So aerodynamic-aeroacoustic similarity are perfected and revised. The corrected formula of similarity are obtained. Testing shows that fans with skewed-swept rotating blades in non-self-stimulated domain...

The experiments of aerodynamic-aeroacoustic performance in axial fans in non-self-stimulated and self-stimulated domain are carried out. Compare enlarged model fans in self-stimulated domain and small-scale fans in non-self-stimulated domain, their aerodynamic-aeroacoustic performances are not almost similar, So aerodynamic-aeroacoustic similarity are perfected and revised. The corrected formula of similarity are obtained. Testing shows that fans with skewed-swept rotating blades in non-self-stimulated domain has advantages of high-refficiency and low-noise.

本文通过对非自模化和自模化区域内的两组轴流动叶试验风机的气动-声学性能的实验研究,得到了非自模化和自模化区域内的气动-声学相似性.实验结果表明:几何相似的风机,进入非自模化区域内,其气动-声学性能完全不同,因此必须对其气动-声学相似性理论进行完善和修正。

The governing equation for plate bending is biharmonic equation, the traditionalsolution methodology is the semi-inverse one that causes limitations. The Airy stress function isusually applied traditionally for plane elasticity problems, it also satisfies biharmonic equation.The analogy between plate bending and plane elasticity problems had been noticed long before,but their solution systems are different each other, and the analogy relationship had not been usedsystematically. In this paper, the analogy is...

The governing equation for plate bending is biharmonic equation, the traditionalsolution methodology is the semi-inverse one that causes limitations. The Airy stress function isusually applied traditionally for plane elasticity problems, it also satisfies biharmonic equation.The analogy between plate bending and plane elasticity problems had been noticed long before,but their solution systems are different each other, and the analogy relationship had not been usedsystematically. In this paper, the analogy is set up and perfect further.The deflection w for plate bending correspond to the Airy stress function in plane elasticity,conversely, the displacements in plane elasticity correspond to two bending moment functionsop. I gb. in plate bending. Based on the analogy between plate bending and plane elasticity problems,Hamiltonian system can also be applied to plate bending problem, that is, the problem can be solvedin symplectic space that consists of curvatures and bending moment functions. So correspondingto the principle of minimum potential energy and the Hellinger-Reissuer variational principle forplane elasticity, the new variational principles of minimum complementary energy and the Pro-H-R in terms of bending moment for plate bending can be proposed respectively. Carrying outthe variations, a set of new governing equations and solution for plate bending clajssical theory ispresented.The new methodology presents the analytical solutions in plate strip via the methods ofseparation of variables and eigenfunction-vector expansion, it breaks through the limit of traditionalsemi-inverse solution. The new one for plate simply support on both sides is equivalent to the Levysingle trigonometrical series expansion method, but it is not the same as the classical semi-inverseone, is derived rationally and analytical. Therefore it can easily be applied to other lateral boundaryconditions, which is very difficult for semi-inverse method, such as the both sides free plate givenin this paper. The results show that the new methodology will have vast application vista.

建立平面弹性与板弯曲的相似性理论,给出了板弯曲经典理论的另一套基本方程与求解方法,然后进入哈密顿体系用直接法研究板弯曲问题.新方法论应用分离变量、本征函数展开方法给出了条形板问题的分析解,突破了传统半逆解法的限制.结果表明新方法论有广阔的应用前景.

 
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