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Exact solution and transient behavior for torsional vibration of functionally graded finite hollow cylinders 被引量:2
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作者 H. M. Wang c. b. liu H. J. Ding 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第4期555-563,共9页
Exact solutions are obtained for transient torsio- nal responses of a finitely long, functionally graded hollow cylinder under three different end conditions, i.e. free-free, free-fixed and fixed-fixed. The cylinder w... Exact solutions are obtained for transient torsio- nal responses of a finitely long, functionally graded hollow cylinder under three different end conditions, i.e. free-free, free-fixed and fixed-fixed. The cylinder with its external surface fixed is subjected to a dynamic shearing stress at the internal surface. The material properties are assumed to vary in the radial direction in a power law form, while keep invariant in the axial direction. With expansion in the axial direction in terms of trigonometric series, the governing equations for the unknown functions about the radial coordinate r and time t are deduced. By applying the variable substitution technique, the superposition method and the separation of variables consecutively, series-form solutions of the equations are obtained. Natural frequencies and the transient torsional responses are finally discussed for a functionally graded finite hollow cylinder. 展开更多
关键词 Exact solution Functionally graded material Finite hollow cylinder Transient torsional vibration
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