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  • Open Access


    Effective Length of Beam on Elastic Foundation Under a Moving Load

    Chen-Ming Kuo1, Cheng-Hao Huang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.3, pp. 245-258, 2010, DOI:10.3970/cmes.2010.065.245

    Abstract Vibrations induced by high-velocity train passing through environmental sensitive area are important issues to railway authorities. Research has been granted to resolve the environmental impact generated from vehicle-track interaction to the neighbor buildings. Models were established to simulate the vehicle-track interaction system which is the source of vibrations. Among them, Euler beam with finite length on elastic foundation subjected to moving loads is most commonly used to simulate the continuous track on site. The reason of modeling infinite length track with finite length model is to make solving possible by numerical analysis. However, the accuracy of analysis depends on the… More >

  • Open Access


    A Dual-Reciprocity Boundary Element Simulation of Axisymmetric Dual-Phase-Lag Heat Conduction in Nonhomogeneous Media

    B.I. Yun1, W.T. Ang1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.3, pp. 217-244, 2010, DOI:10.3970/cmes.2010.065.217

    Abstract A dual-reciprocity boundary element method is proposed for simulating numerically axisymmetric dual-phase-lag heat conduction in nonhomogeneous thermally isotropic media. The properties of the media, such as thermal conductivity and specific heat, are assumed to vary continuously in space. To check its validity and assess its accuracy, the proposed method is first applied to solve some specific test problems with known solutions. It is then used to simulate the axisymmetric dual-phase-lag heat conduction in a particular nonhomogeneous medium subject to a concentrated surface heating. The effects of the dual phase lags and the spatial variations of the thermal properties of the… More >

  • Open Access


    Investigation on an Accelerated Scheme for Solving Time-Dependent Systems

    Montri Maleewong1, Sirod Sirisup2

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.2, pp. 193-216, 2010, DOI:10.3970/cmes.2010.065.193

    Abstract In this paper, we describe our investigation of an "on-line" POD-assisted projective integration method for solving a nonlinear PDE. Using the on-line method, we have computed the representative POD modes without assuming knowledge of the underlying slow manifold along the integration process. This approach is based on the "equation-free" framework where the governing PDE does not need to be projected onto the POD bases in order to build a reduced-order model. The main objectives of this study were to investigate the effectiveness of the method in reducing the computational time required for numerically solving a nonlinear PDE. Here, the one-dimensional… More >

  • Open Access


    Solvability of an Inverse Problem for the Kinetic Equation and a Symbolic Algorithm

    Arif Amirov1, Fikret Gölgeleyen1

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.2, pp. 179-192, 2010, DOI:10.3970/cmes.2010.065.179

    Abstract In this work, we derive the solvability conditions for an inverse problem for the kinetic equation and develop a new symbolic algorithm to obtain the approximate solution of the problem. The computational experiments show that proposed method provides highly accurate numerical solutions even subjecting to a large noise in the given data. More >

  • Open Access


    Estimation of Heat-Transfer Characteristics from Fins Mounted on a Horizontal Plate in Natural Convection

    Han-Taw Chen1, Li-Shie Liu1, Shin-Ku Lee1

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.2, pp. 155-178, 2010, DOI:10.3970/cmes.2010.065.155

    Abstract The finite difference method in conjunction with the least-squares scheme and experimental measured temperatures is proposed to solve a two-dimensional steady-state inverse heat conduction problem in order to predict the natural-convection heat transfer coefficient under the isothermal situation hiso from a three fin array mounted on a horizontal plate and fin efficiency ηf for various values of the fin spacing and fin height. The measured fin temperatures and ambient temperature are obtained from the present experimental apparatus conducted in a small wind tunnel. The heat transfer coefficient on a fin is non-uniform for the present problem, and its functional… More >

  • Open Access


    A Smooth Finite Element Method Based on Reproducing Kernel DMS-Splines

    Sunilkumar N1, D Roy1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.2, pp. 107-154, 2010, DOI:10.3970/cmes.2010.065.107

    Abstract The element-based piecewise smooth functional approximation in the conventional finite element method (FEM) results in discontinuous first and higher order derivatives across element boundaries. Despite the significant advantages of the FEM in modelling complicated geometries, a motivation in developing mesh-free methods has been the ease with which higher order globally smooth shape functions can be derived via the reproduction of polynomials. There is thus a case for combining these advantages in a so-called hybrid scheme or a 'smooth FEM' that, whilst retaining the popular mesh-based discretization, obtains shape functions with uniform Cp(p ≥ 1) continuity. One such recent attempt, a… More >

  • Open Access


    Application of Residual Correction Method on Error Analysis of Numerical Solution on the non-Fourier Fin Problem

    Hsiang-Wen Tang, Cha’o-Kung Chen1, Chen-Yu Chiang

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 95-106, 2010, DOI:10.3970/cmes.2010.065.095

    Abstract Up to now, solving some nonlinear differential equations is still a challenge to many scholars, by either numerical or theoretical methods. In this paper, the method of the maximum principle applied on differential equations incorporating the Residual Correction Method is brought up and utilized to obtain the upper and lower approximate solutions of nonlinear heat transfer problem of the non-Fourier fin. Under the fundamental of the maximum principle, the monotonic residual relations of the partial differential governing equation are established first. Then, the finite difference method is applied to discretize the equation, converting the differential equation into the mathematical programming… More >

  • Open Access


    Assessment of Pressure Waves Generated by Explosive Loading

    D. Kakogiannis1, D. Van Hemelrijck1, J. Wastiels1, S. Palanivelu2, W. Van Paepegem2, J. Vantomme3, A. Kotzakolios4, V. Kostopoulos4

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 75-94, 2010, DOI:10.3970/cmes.2010.065.075

    Abstract In the present study the estimation of the blast wave by two types of finite element methods is investigated: Eulerian multi-material modeling and pure Lagrangian. The main goal is to compare and study their ability to predict the clearing effect during blast. Element shape and improvements on the codes are also considered. For the Lagrangian finite element models the load is applied by using an empirical method, deriving from databases, for the time-spatial distribution of the pressure profiles. In the ideal case of the above method the blast load is applied as an equivalent triangular pulse to represent the decay… More >

  • Open Access


    Analysis of Thermoelastic Waves in a Two-Dimensional Functionally Graded Materials Domain by the Meshless Local Petrov-Galerkin (MLPG) Method

    Ahmad Akbari R.1, Akbar Bagri2, Stéphane P. A. Bordas3,4, Timon Rabczuk5

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 27-74, 2010, DOI:10.3970/cmes.2010.065.027

    Abstract This contribution focuses on the simulation of two-dimensional elastic wave propagation in functionally graded solids and structures. Gradient volume fractions of the constituent materials are assumed to obey the power law function of position in only one direction and the effective mechanical properties of the material are determined by the Mori-Tanaka scheme. The investigations are carried out by extending a meshless method known as the Meshless Local Petrov-Galerkin (MLPG) method which is a truly meshless approach to thermo-elastic wave propagation. Simulations are carried out for rectangular domains under transient thermal loading. To investigate the effect of material composition on the… More >

  • Open Access


    Optimum Design of a Thin Elastic Rod Using a Genetic Algorithm

    Veturia Chiroiu, Ligia Munteanu1, Adrian Toader2

    CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 1-26, 2010, DOI:10.3970/cmes.2010.065.001

    Abstract The best methods of the genetic algorithms (GA) are obtained in order to optimize the shape of a thin elastic rod subjected to spatial bending and torsion. The optimal cross-section is determined from the minimum volume condition, against the three modal bucklings. More >

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