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Transient waves in a functionally graded cylinder. (English) Zbl 0977.74035
Summary: A hybrid mumerical 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 model the spatial variation of material properties of FGM. We use Hamilton’s variational principle to derive the governing equations of the cylinder, and displacement response are determined by employing Fourier transforms together with the modal analysis. The HNM is applied to analyze a number of FGM cylinders, and its efficiency is demonstrated.

##### MSC:
 74J10 Bulk waves in solid mechanics 74E05 Inhomogeneity in solid mechanics
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