Home / Journals / CMES / Vol.52, No.1, 2009
Table of Content
  • Open Access

    ARTICLE

    A DRK Interpolation-Based Collocation Method for the Analysis of Functionally Graded Piezoelectric Hollow Cylinders under Electro-Mechanical Loads

    Chih-Ping Wu1,2, Jian-Sin Wang2, Yung-Ming Wang2
    CMES-Computer Modeling in Engineering & Sciences, Vol.52, No.1, pp. 1-38, 2009, DOI:10.3970/cmes.2009.052.001
    Abstract A meshless collocation method based on the differential reproducing kernel (DRK) interpolation is developed for the three-dimensional (3D) coupled analysis of simply-supported, functionally graded (FG) piezoelectric hollow cylinders. The material properties of FG hollow cylinders are regarded as heterogeneous through the thickness coordinate, and then specified to obey an exponent-law dependent on this. In the present formulation, the shape function for the reproducing kernel (RK) interpolation function at each sampling node is separated into a primitive function possessing Kronecker delta properties and an enrichment function constituting reproducing conditions. By means of this DRK interpolation, the essential boundary conditions can be… More >

  • Open Access

    ARTICLE

    Error Analysis of Trefftz Methods for Laplace's Equations and Its Applications

    Z. C. Li2, T. T. Lu3, H. T. Huang4, A. H.-D. Cheng5
    CMES-Computer Modeling in Engineering & Sciences, Vol.52, No.1, pp. 39-82, 2009, DOI:10.3970/cmes.2009.052.039
    Abstract For Laplace's equation and other homogeneous elliptic equations, when the particular and fundamental solutions can be found, we may choose their linear combination as the admissible functions, and obtain the expansion coefficients by satisfying the boundary conditions only. This is known as the Trefftz method (TM) (or boundary approximation methods). Since the TM is a meshless method, it has drawn great attention of researchers in recent years, and Inter. Workshops of TM and MFS (i.e., the method of fundamental solutions). A number of efficient algorithms, such the collocation algorithms, Lagrange multiplier methods, etc., have been developed in computation. However, there… More >

  • Open Access

    ARTICLE

    Computation of Acoustic Far Field Scattering Cross Section from Plain and Intersecting Thin Bodies

    P.R. Venkatesh1, B.Chandrasekhar2 , M.M.Benal3
    CMES-Computer Modeling in Engineering & Sciences, Vol.52, No.1, pp. 83-104, 2009, DOI:10.3970/cmes.2009.052.083
    Abstract In this work, node based basis functions are used to solve the acoustic scattering from plain thin bodies like plates, discs; and intersecting thin bodies like fins on a cylinder. Node based basis functions are defined on the vertices of triangles generated by triangular patch modeling, and these functions are used to define the unknown source distribution. Also the same functions are used as testing functions in the method of moment's solution. Three kinds of nodes were treated for defining the basis functions, namely, boundary node, non-boundary node and non boundary intersecting node. Also, three kinds of bodies were considered… More >

  • Open Access

    ARTICLE

    Vibrations of In-Plane Non-Constant Inward and Outward Rotating Beams

    Shueei-Muh Lin1
    CMES-Computer Modeling in Engineering & Sciences, Vol.52, No.1, pp. 105-124, 2009, DOI:10.3970/cmes.2009.052.105
    Abstract In this study, the mathematical model of a non-constant rotating beam is established. It is an in-plane moving mass problem. Due to the effect of non-constant rotation, this model is composed of a governing differential equation with time-dependent coefficients and forcing term and three homogenous boundary conditions and one non-homogeneous boundary condition with time-dependent coefficients and forcing term. It is basically different to the system with constant rotation speed [Lin, 2008] and the linear moving beam system [Lin, 2009]. Obviously, a moving mass problem with time-dependent coefficients and forcing term is very complicated. A new solution method is here developed… More >

Share Link

WeChat scan