CMES-Vol. 38, No. 3, 2008

Open Access

ARTICLE

Fast analysis system for embossing process simulation of commemorative coin--CoinForm
J. P. Xu¹, Y. Q. Liu^1,2, S. Q. Li³, S. C. Wu⁴
CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.3, pp. 201-216, 2008, DOI:10.3970/cmes.2008.038.201
Abstract For the first time, a special-purpose finite element simulation system CoinForm is developed to analyze the embossing process of commemorative coin, in which one-point reduced integration approach is used in solid element finite element dynamic explicit program. Viscous damping hourglass control algorithm can effectively suppress the spurious modes activated by reduced integration and the computational effort is saved about 93% compared with other method that evaluate anti-hourglass force using stabilization matrix. The embossing process of commemorative coin is then simulated and compared with results from the DEFORM 3D software, which verify the excellent performance of More >

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ARTICLE

A rotation free formulation for static and free vibration analysis of thin beams using gradient smoothing technique
X.Y. Cui^1,2, G. R. Liu^2,3, G. Y. Li^1,4, G. Zheng¹
CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.3, pp. 217-230, 2008, DOI:10.3970/cmes.2008.038.217
Abstract In this paper, a gradient smoothed formulation is proposed to deal with a fourth-order differential equation of Bernoulli-Euler beam problems for static and dynamic analysis. Through the smoothing operation, the C¹ continuity requirement for fourth-order boundary value and initial value problems can be easily relaxed, and C⁰ interpolating function can be employed to solve C¹ problems. In present thin beam problems, linear shape functions are employed to approximate the displacement field, and smoothing domains are further formed for computing the smoothed curvature and bending moment field. Numerical examples indicate that very accurate results can be yielded when More >

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Analysis of rectangular square plates by the mixed Meshless Local Petrov-Galerkin (MLPG) approach
T. Jarak¹, J. Sorić¹
CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.3, pp. 231-262, 2008, DOI:10.3970/cmes.2008.038.231
Abstract A new mixed meshless formulation based on the interpolation of both strains and displacements has been proposed for the analysis of plate deformation responses. Kinematics of a three dimensional solid is adopted and discretization is performed by the nodes located on the upper and lower plate surfaces. The governing equations are derived by employing the local Petrov-Galerkin approach. The approximation of all unknown field variables is carried out by using the same Moving Least Squares functions in the in-plane directions, while linear polynomials are applied in the transversal direction. The shear locking effect is efficiently More >

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A Fast Adaptive Wavelet scheme in RBF Collocation for nearly singular potential PDEs
Nicolas Ali Libre^1,2, Arezoo Emdadi², Edward J. Kansa^3,4, Mohammad Shekarchi², Mohammad Rahimian²
CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.3, pp. 263-284, 2008, DOI:10.3970/cmes.2008.038.263
Abstract We present a wavelet based adaptive scheme and investigate the efficiency of this scheme for solving nearly singular potential PDEs. Multiresolution wavelet analysis (MRWA) provides a firm mathematical foundation by projecting the solution of PDE onto a nested sequence of approximation spaces. The wavelet coefficients then were used as an estimation of the sensible regions for node adaptation. The proposed adaptation scheme requires negligible calculation time due to the existence of the fast Discrete Wavelet Transform (DWT). Certain aspects of the proposed adaptive scheme are discussed through numerical examples. It has been shown that the More >

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