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韩旭, X. HAN, G.R. LIU AND K.Y. LAM
Journal of Sound and Vibration (2000) 236 (2), 307-321,-0001,():
-1年11月30日
A novel method is presented for investigating elastic waves in functionally graded material (FGM) plates excited by plane pressure waves. The FGM plate is first divided into quadratic layer elements (QLEs). A general solution for the equation of motion governing the QLE has been derived. The general solution is then used together with the boundary and continuity conditions to obtain the displacement and stress in the frequency domain for an arbitrary FGM plate. The response of the plate to an incident pressure wave is obtained using the Fourier transform techniques. Results obtained by the present method are compared with an existing method using homogeneous layer elements. Numerical examples are presented to investigate stress waves in FGM plates. The relationship between the surface displacement response and the material property of quadratic FGM plates has been analytically obtained for the material characterization. A computational inverse technique is also presented for characterizing material property of an arbitrary FGM plate from the surface displacement response data, using present QLE method as forward solver and genetic algorithm as the inverse operator. This technique is utilized to reconstruct the material property of an actual SiC-C FGM.
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【期刊论文】Transient waves in a functionally graded cylinder
韩旭, X. Han, G.R. Liu*, Z.C. Xi, K.Y. Lam
X. Han et al./International Journal of Solids and Structures 38 (2001) 3021-3037,-0001,():
-1年11月30日
A hybrid numerical method (HNM) is presented for analyzing transient waves in a cylinder made of functionally graded material (FGM). In the HNM, the FGM cylinder is divided into N cylindrical elements with three-nodal line in the wall thickness. The elemental material properties are assumed to vary linearly in the thickness direction to better modeol the spatial variation of material properties of FGM. The Hamilton variational principle is used to develop governing equations of the cylinder. The displacement responses are determined by employing the Fourier transfor-mations together with the modal analysis. The HNM is applied to analyze a number of FGM cylinder, and its effi-ciency is demolnstrated.
Graded cylinder, Transient waves, Hybrid numerical method
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韩旭
,-0001,():
-1年11月30日
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