Open Access
ARTICLE
Yunhua Li1,2, Yunze Li3, Chieh-Li Chen4, Cha’o-Kuang Chen5
CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.1, pp. 1-14, 2010, DOI:10.3970/cmes.2010.058.001
Abstract Addressing the identification problem of the general Lagrange multiplier in the He's variational iteration method, this paper proposes a new kind of method based on Duhamel's principle for the dynamic system response analysis. In this method, we have constructed an analytical iteration formula in terms of the convolution for the residual error at the nth iteration, and have given a new interpretation to He's variational iteration method. The analysis illustrates that the computational result of this method is equal to that of He's variational iteration method on the assumption of considering the impulse response of the linear parts, or equal… More >
Open Access
ARTICLE
Lorenzo Codecasa1, Francesco Trevisan2
CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.1, pp. 15-44, 2010, DOI:10.3970/cmes.2010.058.015
Abstract This paper starts from the spatial discretization of an electromagnetic problem over pairs of oriented grids, one dual of the other, according to the so called Discrete Geometric Approach(DGA) to computational electromagnetism; the Cell Method or the Finite Integration Technique are examples of such an approach. The core of the work is providing for the first time a convergence analysis when the discrete counter-parts of constitutive relations are computed by means of an energetic framework. More >
Open Access
ARTICLE
A. Papacharalampopoulos2, G. F. Karlis2, A. Charalambopoulos3, D. Polyzos4
CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.1, pp. 45-74, 2010, DOI:10.3970/cmes.2010.058.045
Abstract A Boundary Element Method (BEM) for solving two (2D) and three dimensional (3D) dynamic problems in materials with microstructural effects is presented. The analysis is performed in the frequency domain and in the context of Mindlin's Form II gradient elastic theory. The fundamental solution of the differential equation of motion is explicitly derived for both 2D and 3D problems. The integral representation of the problem, consisting of two boundary integral equations, one for displacements and the other for its normal derivative is exploited for the proposed BEM formulation. The global boundary of the analyzed domain is discretized into quadratic line… More >
Open Access
ARTICLE
Y.C. Cai1,2, J.K. Paik3, S.N. Atluri4
CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.1, pp. 75-108, 2010, DOI:10.3970/cmes.2010.058.075
Abstract This paper presents a new shear flexible beam/rod element for large deformation analyses of space-frame structures comprising of thin or thick members, based on the Reissner variational principle and a von Karman type nonlinear theory of deformation in the co-rotational reference frame of the present beam element. The C0continuous trial functions for transverse rotations in two independent directions are used over each element, to derive an explicit expression for the (16x16)symmetrictangent stiffness matrix of the beam element in the co-rotational reference frame. When compared to the primal approach wherein C1continuous trial functions for transverse displacements over each element are necessary,… More >
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