Home / Journals / CMES / Vol.108, No.3, 2015
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  • Open AccessOpen Access

    ARTICLE

    Large Deformation Hyper-Elastic Modeling for Nonlinear Dynamic Analysis of Two Dimensional Functionally Graded Domains Using the Meshless Local Petrov-Galerkin (MLPG) Method

    Mohammad Hossein Ghadiri Rad1, Farzad Shahabian1,2, Seyed Mahmoud Hosseini3
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.3, pp. 135-157, 2015, DOI:10.3970/cmes.2015.108.135
    Abstract A meshless method based on the local Petrov-Galerkin approach is developed for elasto-dynamic analysis of geometrically nonlinear two dimensional (2D) problems in hyper-elastic functionally graded materials. The radial point interpolation method (RPIM) is utilized to build the shape functions and the Heaviside step function is used as the test function. The mechanical properties of functionally graded material are considered to continuously vary in a certain direction and are simulated using a nonlinear power function in volume fraction form. Considering the large deformations, it is assumed that the domain be made of large deformable neo-Hookean hyperelastic… More >

  • Open AccessOpen Access

    ARTICLE

    Dynamic Response Analysis of the Fractional-Order System of MEMS Viscometer

    X.S. He1, Q.X. Liu1, X.C. Huang2, Y.M. Chen1,3
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.3, pp. 159-169, 2015, DOI:10.3970/cmes.2015.108.159
    Abstract This paper presented dynamic response analysis for an MEMS viscometer. The responses are governed by a set of differential equations containing fractional derivatives. The memory-free Yuan-Agrawal’s approach was extended to solve fractional differential equations containing arbitrary fractional order derivative and then a simple yet efficient numerical scheme was constructed. Numerical examples show that the proposed method can provide very accurate results and computational efforts can be significantly saved. Moreover, the numerical scheme was extended to solve problems with a nonlinear spring. The influences of the nonlinear parameters on the dynamic responses were also efficiently analyzed. More >

  • Open AccessOpen Access

    ARTICLE

    Conjugate Heat Transfer in Uniformly Heated Enclosure Filled with Micropolar Fluid

    H. Imtiaz1, F. M. Mahfouz2
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.3, pp. 171-192, 2015, DOI:10.3970/cmes.2015.108.171
    Abstract This paper investigates numerically the conjugate heat transfer in a concentric enclosure that is formed between two concentric cylinders and filled with micropolar fluid. The wall of inner cylinder is considerably thick, while the wall of outer cylinder is very thin. The inner cylinder is heated from inner side through constant heat flux, whereas the outer cylinder is cooled and maintained at constant temperature. The induced buoyancy driven flow and associated conjugate heat transfer are predicted numerically by solving flow and energy governing equations considering a combination of finite difference and Fourier spectral methods. The… More >

  • Open AccessOpen Access

    ARTICLE

    A Metamodel-Based Global Algorithm for Mixed-Integer Nonlinear Optimization and the Application in Fuel Cell Vehicle Design

    Haoxiang Jie1,2, Huihong Shi3, Jianwan Ding2,4, Yizhong Wu2, Qian Yin2
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.3, pp. 193-214, 2015, DOI:10.3970/cmes.2015.108.193
    Abstract This paper improves the adaptive metamodel-based global algorithm (AMGO), which is presented for unconstrained continuous problems, to solve mixed-integer nonlinear optimization involving black-box and expensive functions. The new proposed method is called as METADIR, which can be divided into two stages. In the first stage, the METADIR adopts extended DIRECT method to constantly subdivide the design space and identify the sub-region that may contain the optimal value. When iterative points gather into a sub-region to some extent, we terminate the search progress of DIRECT and turn to the next stage. In the second phase, a… More >

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