CMES-Vol. 85, No. 2, 2012

Open Access

ARTICLE

A Direct Integral Equation Method for a Cauchy Problem for the Laplace Equation in 3-Dimensional Semi-Infinite Domains
Roman Chapko¹, B. Tomas Johansson²
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.2, pp. 105-128, 2012, DOI:10.3970/cmes.2012.085.105
Abstract We consider a Cauchy problem for the Laplace equation in a 3-dimen -sional semi-infinite domain that contains a bounded inclusion. The canonical situation is the upper half-space in I\tmspace -.1667em R3 containing a bounded smooth domain. The function value of the solution is specified throughout the plane bounding the upper half-space, and the normal derivative is given only on a finite portion of this plane. The aim is to reconstruct the solution on the surface of the bounded inclusion. This is a generalisation of the situation in Chapko and Johansson (2008) to three-dimensions and with Cauchy data only partially given.… More >

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Vibration Analysis of Curved Shell using B-spline Wavelet on the Interval (BSWI) Finite Elements Method and General Shell Theory
Zhibo Yang¹, Xuefeng Chen², Bing Li¹, Zhengjia He¹, Huihui Miao¹
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.2, pp. 129-156, 2012, DOI:10.3970/cmes.2012.085.129
Abstract The implementation of the B-spline Wavelet on the Interval (BSWI) for curved shell elements with rectangular planform is presented in this paper. By aid of the general shell theory, cylinder shells, doubly-curved shallow shells and hyperbolic paraboloidal shells BSWI elements are formulated. Instead of traditional polynomial interpolation, scaling functions at certain scale have been adopted to form the shape functions and construct wavelet-based elements. Because of the good character of BSWI scaling functions, the BSWI curved shell elements combine the accuracy of wavelet-based elements approximation and the character of B-spline functions for structural analysis. Different from the flat shell elements,… More >

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Computation of the Time-Dependent Green's Function for the Longitudinal Vibration of Multi-Step Rod
V.G.Yakhno¹, D. Ozdek²
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.2, pp. 157-176, 2012, DOI:10.3970/cmes.2012.085.157
Abstract The present paper describes computation of the time-dependent Green's function for the equations of longitudinal vibration of a multi-step rod with a piecewise constant varying cross-section. This computation is based on generalization of the Fourier series expansion method. The time-dependent Green's function is derived in the form of the Fourier series. The basic functions of this series are eigenfunctions of an ordinary differential equation with boundary and matching conditions. Constructing the eigenvalues and eigenfunctions of this differential equation and then derivation of the Fourier coefficients of the Green's function are main steps of the method. Computational experiments confirm the robustness… More >

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Fluid Structure Interaction for Bird Impact Problem: Experimental and Numerical Investigation
Souli, M.¹, Gabrys, J.²
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.2, pp. 177-192, 2012, DOI:10.3970/cmes.2012.085.177
Abstract Bird impacts on aircraft are very common and cause significant safety threats to commercial and military aircraft. According to FAA ( Federal American Aviation) regulations, aircraft should be able to land safely following specified types of bird impact on components such as radomes, windshields, engines leading edge structures and other exposed components. Thus exposed components are required to be certified for bird impact. In order to evaluate whether the aircraft is compliant to FAA requirements, several experimental tests and numerical simulations of bird impact on components need to be preformed. This paper presents an experimental and numerical investigation of bird… More >

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