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Y.K. Cheung

Bio: Y.K. Cheung is an academic researcher from University of Hong Kong. The author has contributed to research in topics: Finite element method & Finite strip method. The author has an hindex of 54, co-authored 391 publications receiving 11772 citations. Previous affiliations of Y.K. Cheung include University of Calgary & Beihang University.


Papers
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01 Jan 1967
TL;DR: In this paper, a mathematical reference record was created on 2004-09-07, modified on 2016-08-08, and used for modelisation of mathematical reference records for the Mathematique Reference Record.
Abstract: Keywords: Modelisation ; Mathematique Reference Record created on 2004-09-07, modified on 2016-08-08

851 citations

Book
01 Jan 1976
TL;DR: In this paper, the theory of the finite strip method and its application in structural engineering with special reference to slab and box girder bridges is introduced, and a discussion of the application of finite strip analysis in bridge construction is presented.
Abstract: This book introduces the theory of the finite strip method, and discusses its application in structural engineering with special reference to slab and box girder bridges. Separate chapters deal with :(1) finite strip method; (2) bending of plates and plate-beam systems with application to slab-beam bridges; (3) plane stress analysis; (4) analysis of folded plate structures with special reference to box girder bridges; (5) vibration and stability of plates and shells; (6) further developments in finite strip analysis; (7) finite layer method and finite prism method; and (8) computation methods and computer program. Author and subject indexes are appended. /TRRL/

644 citations

Journal ArticleDOI
TL;DR: In this paper, an elliptic Lindstedt-Poincare (L--P) method is presented for the steady-state analysis of strongly non-linear oscillators of the form\(\ddot x + c_1 x +c_3 x^3 = \varepsilon f(x,\dot x)\), in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical L--P perturbation procedure.
Abstract: An elliptic Lindstedt--Poincare (L--P) method is presented for the steady-state analysis of strongly non-linear oscillators of the form\(\ddot x + c_1 x + c_3 x^3 = \varepsilon f(x,\dot x)\) , in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical L--P perturbation procedure. This method can be viewed as a generalization of the L--P method. As an application of this method, three types of the generalized Van der Pol equation with \(f(x,\dot x) = (c_0 - c_2 x^2 )\dot x\) are studied in detail.

189 citations

Journal ArticleDOI
TL;DR: A review of the state-of-the-art in this field can be found in this article, highlighting the key areas of development, including the modelling of the soil media and various analytical as well as numerical approaches in analysing the interaction action between the foundation and soil.
Abstract: The interaction action between structures and supporting soil media is of fundamental importance in foundation design and it has always attracted the attention of both researchers and engineers. This paper reviews the state-of-the-art in this field, highlighting the key areas of development, including the modelling of the soil media and various analytical as well as numerical approaches in analysing the interaction action between the foundation and soil. Copyright © 2005 John Wiley & Sons, Ltd.

175 citations


Cited by
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Journal ArticleDOI
Ji-Huan He1
TL;DR: In this paper, a survey of recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones, is presented.
Abstract: This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtained approximate analytical solutions are valid for the whole solution domain. The limitations of traditional perturbation methods are illustrated, various modied perturbation techniques are proposed, and some mathematical tools such as variational theory, homotopy technology, and iteration technique are introduced to overcome the shortcomings. In this paper the following categories of asymptotic methods are emphasized: (1) variational approaches, (2) parameter-expanding methods, (3) parameterized perturbation method, (4) homotopy perturbation method (5) iteration perturbation method, and ancient Chinese methods. The emphasis of this article is put mainly on the developments in this eld in China so the references, therefore, are not exhaustive.

2,135 citations

Journal ArticleDOI
TL;DR: In this paper, a review of continuum-based variational formulations for describing the elastic-plastic deformation of anisotropic heterogeneous crystalline matter is presented and compared with experiments.

1,573 citations

Book
01 Jan 1972
TL;DR: In this article, the method of Weighted Residuals is used to solve boundary-value problems in heat and mass transfer problems, and convergence and error bounds are established.
Abstract: Preface to the classics edition Preface Acknowledgments Part I. The Method of Weighted Residuals: 1. Introduction 2. Boundary-value problems in heat and mass transfer 3. Eigenvalue and initial-value problems in heat and mass transfer 4. Applications to fluid mechanics 5. Chemical reaction systems 6. Convective instability problems Part II. Variational Principles: 7. Introduction to variational principles 8. Variational principles in fluid mechanics 9. Variational principles for heat and mass transfer problems 10. On the search for variational principles 11. Convergence and error bounds Author index Subject index.

1,367 citations