CMES-Vol. 85, No. 4, 2012

Open Access

ARTICLE

Design of Compliant Mechanisms Using Meshless Level Set Methods
Zhen Luo¹, Nong Zhang¹, Tao Wu^2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.4, pp. 299-328, 2012, DOI:10.3970/cmes.2012.085.299
Abstract This paper presents a meshless Galerkin level-set method (MGLSM) for shape and topology optimization of compliant mechanisms of geometrically nonlinear structures. The design boundary of the mechanism is implicitly described as the zero level set of a Lipschitz continuous level set function of higher dimension. The moving least square (MLS) approximation is used to construct the meshless shape functions with the global Galerkin weak-form in terms of a set of arbitrarily distributed nodes. The MLS shape function is first employed to parameterize the level set function via the surface fitting rather than interpolation, and then… More >

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ARTICLE

Numerical Investigation of a Vibroacoustic Analysis with Different Formulations
M. Amdi¹, M. Souli¹, J. Hargreaves², F. Erchiqui³
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.4, pp. 329-346, 2012, DOI:10.3970/cmes.2012.085.329
Abstract Simulation of vibroacoustic problems becomes more and more the focus of engineering in the last decades for acoustic comfort in automotive industry to reduce noise and vibration inside a cabin and also in sport industry to analyze sound produced by a club impacting a golf ball to avoid unexpected noise problems during the design process. Traditionally, Finite element and Boundary element methods are used in frequency domain to model pressure noise from structure vibration in low and mid frequency range. These methods require velocity in frequency domain on the vibrating structure as boundary conditions. To… More >

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A Domain Decomposition Method Based on Natural BEM and Mixed FEM for Stationary Stokes Equations on Unbounded Domains
Ju’e Yang¹, Hongying Huang², Dehao Yu³
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.4, pp. 347-366, 2012, DOI:10.3970/cmes.2012.085.347
Abstract In this paper, a new domain decomposition method is suggested for the stationary Stokes equations on unbounded domain and its convergence is proved. We draw an artificial boundary to make the domain into two parts: one is bounded, in which we use the mixed finite element method; the other is unbounded, in which we apply the natural boundary reduction. Then we change the sub-problem on the unbounded domain onto a one in a bounded domain and we use the Dirichlet to Neumann(DtN) alternating algorithm to solve the resulting mixed system. The theoretical results as well More >

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ARTICLE

A New Approach to Non-Homogeneous Fuzzy Initial Value Problem
N.A. Gasilov¹, I.F. Hashimoglu², S.E. Amrahov³, A.G. Fatullayev¹
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.4, pp. 367-378, 2012, DOI:10.3970/cmes.2012.085.367
Abstract In this paper, we consider a high-order linear differential equation with fuzzy forcing function and with fuzzy initial values. We assume the forcing function be in a special form, which we call triangular fuzzy function. We present solution as a fuzzy set of real functions such that each real function satisfies the initial value problem by some membership degree. We propose a method to find the fuzzy solution. We present an example to illustrate applicability of the proposed method. More >

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