检索结果-南通市图书馆

Applied Mathematics and Mechanics(English Edition) 2010年第8期31卷 1039-1048页

作者：黄俊杰阿拉坦仓王华 School of Mathematical Sciences Inner Mongolia University College of Sciences Inner Mongolia University of Technology

This paper proposes an eigenfunction expansion method to solve twodimensional （2D） elasticity problems based on stress formulation. By introducing appropriate state functions, the fundamental system of partial differential equations of the above 2D problems is rewritten as an upper triangular differential system. For the associated operator matrix, the existence and the completeness of two normed orthogonal eigenfunction systems in some space are obtained, which belong to the two block operators arising in the operator matrix. Moreover, the general solution to the above 2D problem is given by the eigenfunction expansion method.

关键词： eigenfunction expansion method two-dimensional (2D) elasticity problem upper triangular differential system general solution

eigenfunction expansion method of upper triangular operator matrixand application to two-dimensional elasticity problems based onstress formulation

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2012年第2期33卷 223-232页

作者：额布日力吐阿拉坦仓 School of Mathematical Sciences Inner Mongolia University

This paper studies the eigenfunction expansion method to solve the two dimensional （2D） elasticity problems based on the stress formulation. The fundamental system of partial differential equations of the 2D problems is rewritten as an upper tri angular differential system based on the known results, and then the associated upper triangular operator matrix matrix is obtained. By further research, the two simpler com plete orthogonal systems of eigenfunctions in some space are obtained, which belong to the two block operators arising in the operator matrix. Then, a more simple and conve nient general solution to the 2D problem is given by the eigenfunction expansion method. Furthermore, the boundary conditions for the 2D problem, which can be solved by this method, are indicated. Finally, the validity of the obtained results is verified by a specific example.

关键词： eigenfunction expansion method two-dimensional (2D) elasticity problem,upper triangular operator matrix general solution

AN OPTIMIZATION OF eigenfunction expansion method FOR THE INTERACTION OF WATER WAVES WITH AN ELASTIC PLATE

在线全文

学校读者我要写书评

暂无评论

Journal of Hydrodynamics 2009年第4期21卷 526-530页

作者： XU Feng LU Dong-qiang Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China State Key Laboratory of Ocean Engineering Shanghai Jiao Tong University Shanghai 200030 China

The hydroelastic interaction of an incident wave with a semi-infinite horizontal elastic plate floating on a homogenous fluid of finite depth is analyzed using the eigenfunction expansion method. The fluid is assumed to be inviscid and incompressible and the wave amplitudes are assumed to be small. A two-dimensional problem is formulated within the framework of linear potential theory. The fluid domain is divided into two regions, namely an open water region and a plate-covered region. In this paper, the orthogonality property of eigenfunctions in the open water region is used to obtain the set of simultaneous equations for the expansion coefficients of the velocity potentials and the edge conditions are included as a part of the equation system. The results indicate that the thickness and the density of plate have almost no influence on the reflection and transmission coefficients. Numerical analysis shows that the method proposed here is effective and has higher convergence than the previous results.

关键词： wave scattering eigenfunction expansion method orthogonality

Application of Boundary Collocation method to Two-Dimensional Wave Propagation

在线全文

学校读者我要写书评

暂无评论

China Ocean Engineering 2015年第4期29卷 579-587页

作者：曹雪玲游亚戈盛松伟彭雯叶寅 Guangzhou Institute of Energy Conversion Chinese Academy of Sciences Key Laboratory of Renewable Energy and Gas Hydrate Chinese Academy of Sciences University of Chinese Academy of Sciences

Boundary Collocation method （BCM） based on eigenfunction expansion method （EEM）, a new numerical method for solving two-dimensional wave problems, is developed. To verify the method, wave problems on a series of beaches with different geometries are solved, and the errors of the method are analyzed. The calculation firmly confirms that the results will be more precise if we choose more rational points on the beach. The application of BCM, available for the problems with irregular domains and arbitrary boundary conditions, can effectively avoid complex calculation and programming. It can be widely used in ocean engineering.

关键词： boundary collocation method eigenfunction expansion method wave propagation beach

A 2-D semi-analytical model of double-gate tunnel field-effect transistor

在线全文

学校读者我要写书评

暂无评论

Journal of Semiconductors 2015年第5期36卷 24-30页

作者：许会芳代月花李宁徐建斌 Institute of Electronic and Information Engineering Anhui University

A 2-D semi-analytical model of double gate （DG） tunneling field-effect transistor （TFET） is proposed. By aid of introducing two rectangular sources located in the gate dielectric layer and the channel, the 2-D Poisson equation is solved by using a semi-analytical method combined with an eigenfunction expansion method. The expression of the surface potential is obtained, which is a special function for the infinite series expressions. The influence of the mobile charges on the potential profile is taken into account in the proposed model. On the basis of the potential profile, the shortest tunneling length and the average electrical field can be derived, and the drain current is then constructed by using Kane＇s model. In particular, the changes of the tunneling parameters Ak and Bk influenced by the drain-source voltage are also incorporated in the predicted model. The proposed model shows a good agreement with TCAD simulation results under different drain-source voltages, silicon film thicknesses, gate dielectric layer thicknesses, and gate dielectric layer constants. Therefore, it is useful to optimize the DG TFET and this provides a physical insight for circuit level design.

关键词： semi-analytical method eigenfunction expansion method double-gate tunnel field effect transistor (TFET) surface potential drain current

FLOW OF A VISCOUS FLUID DUE TO NON-COAXIAL ROTATIONS OF TWO DISKS

在线全文

学校读者我要写书评

暂无评论

FLOW OF A VISCOUS FLUID DUE TO NON-COAXIAL ROTATIONS OF TWO ...