Interaction of thin perforated plates and weak shock waves

The paper presents experimental results on elastic deformation of perforated thin plates made of glass-fiber laminate and subjected to weak shock waves. The characteristics of the dynamic process in the plates are determined __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 126–130, November 2006.     

开孔薄板的变分原理及屈曲和过屈曲分析的有限元方法

本文以开孔薄板大挠度问题的一般理论为基础,建立了以挠度 w 和应力函数F为未知量的变分原理,并由此建立了用于分析开孔薄板屈曲和过屈曲问题的有限单元法可以看到由于区域的多连通性,单元性质是较为复杂的。     

Hybrid determination of equivalent characteristics of perforated plates

In this paper, we have adopted the hybrid method, which combines experimental and numerical methods, to investigate the dynamic behavior of perforated plates. It was found that the modal assurance criterion is a useful criterion to judge the degree of similarity between experimental and numerical models. The difference between the experimental and numerical models can be reduced via sensitivity testing and by checking the correlation coefficient. The equivalent material properties of the perforated plates were also obtained by the hybrid method. In addition, the curve-fitting technique was utilized to find the relationship of the mass remnant ratio with the parameter ratio. The functions obtained from the curve fitting can be used to predict accurately the equivalent material properties and resonant frequencies of perforated plates of the diagonal array.     

射孔套管弹性抗挤能力分析

套管射孔后其抗挤能力将有所降低．建立了射孔段套管弹性抗挤性能分析控制一般方程，并采用摄动理论给出了射孔段套管弹性抗挤能力降低系数一般计算公式．并与方孔精确解比较后得出，摄动法所得近似解具有足够的精度．为进一步开展射孔套管的弹塑性抗挤分析奠定了基础．     

Variational principles of perforated thin plates and finite element method for buckling and post-buckling analysis

On the basis of the general theory of perforated thin plates under large deflections^{[1, 2]}, variational principles with deflectionw and stress functionF as variables are stated in detail. Based on these principles, finite element method is established for analysing the buckling and post-buckling of perforated thin plates. It is found that the property of element is very complicated, owing to the multiple connexity of the region. Project supported by National Natural Science Foundation of China.     

Spectral asymptotics for an elliptic operator in a locally periodic perforated domain

We consider the homogenization of an elliptic spectral problem with a large potential stated in a thin cylinder with a locally periodic perforation. The size of the perforation gradually varies from point to point. We impose homogeneous Neumann boundary conditions on the boundary of perforation and on the lateral boundary of the cylinder. The presence of a large parameter 1/ε in front of the potential and the dependence of the perforation on the slow variable give rise to the effect of localization of the eigenfunctions. We show that the jth eigenfunction can be approximated by a scaled exponentially decaying function that is constructed in terms of the jth eigenfunction of a one-dimensional harmonic oscillator operator.     

Investigation on Heat Transfer and Pressure Drop of Copper–Water Nanofluid Flow in Plain and Perforated Channels

This article reports an experimental study on copper–water nanofluid flow inside plain and perforated channels. The effects of flow rate and nanoparticle concentration on the heat transfer and pressure drop are studied. It is found that the perforated channel has a remarkable heat transfer enhancement of 24.6%. Furthermore, by using the copper–water nanofluid instead of the base fluid, the heat transfer coefficient as well as pressure drop are increased for both plain and perforated channels. A noticeable thermal performance factor of 1.34 is obtained for the simultaneous utilization of both the heat transfer enhancement techniques considered in this article.     

On homogenization of solutions of the poisson equation in a perforated domain with different types of boundary conditions on different cavities

In this paper we consider boundary value problems in perforated domains with periodic structures and cavities of different scales, with the Neumann condition on some of them and mixed boundary conditions on others. We take a case when cavities with mixed boundary conditions have so called critical size (see [1]) and cavities with the Neumann conditions have the scale of the cell. In the same way other cases can be studied, when we have the Neumann and the Dirichlet boundary conditions or the Dirichlet condition and the mixed boundary condition on the boundary of cavities.There is a large literature where homogenization problems in perforated domains were studied [2];-[7];     

Integration of combinatorial decompositions in the presence of collinearities

Many results in Combinatorial Integral Geometry are derived by integration of the combinatorial decompositions associated with finite point sets {P _i } given in the plane ?². However, most previous cases of integration of the decompositions in question were carried out for the point sets {P _i } containing no triads of collinear points, where the familiar algorithm sometimes called the “Four indicator formula” can be used. The present paper is to demonstrate that the complete combinatorial algorithm valid for sets {P _i } not subject to the mentioned restriction opens the path to various results, including the field of Stochastic Geometry. In the paper the complete algorithm is applied first in an integration procedure in a study of the perforated convex domains, i.e convex domains containing a finite array of non-overlapping convex holes. The second application is in the study of random colorings of the plane that are Euclidean motions invariant in distribution, basing on the theory of random polygonal windows from the so-called Independent Angles (IA) class. The method is a direct averaging of the complete combinatorial decompositions written for colorings observed in polygonal windows from the IA class. The approach seems to be quite general, but promises to be especially effective for the random coloring generated by random Poisson polygon process governed by the Haar measure on the group of Euclidean motions of the plane, assuming that a point P ∈ ?² is colored J if P is covered by exactly J polygons of the Poisson process. A general theorem clearing the way for Laplace transform treatment of the random colorings induced on line segments is formulated.     

主变压器噪声特性分析及复合隔声结构设计*

超高压变电站的主变压器的噪声影响已引起广泛关注。以某典型化设计的500kV变电站A的主变压器为例,进行了现场测试,得到其主变压器噪声能量主要集中在中低频范围内,且具备明显的线谱噪声特征。针对该噪声特点,提出了一种内插微穿孔板的双层带孔板型声学超材料的复合隔声结构。使用传递矩阵理论对该复合结构进行了分析,并在阻抗管中进行了实验验证。实验结果表明：该复合隔声结构具备针对性隔声要求,理论与实验传递损失曲线基本吻合。