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Title: Solution of impact-induced flexural waves in a circular ring by the method of characteristics
Authors: Shim, V.P.W. 
Quah, S.E.
Issue Date: Sep-1998
Citation: Shim, V.P.W.,Quah, S.E. (1998-09). Solution of impact-induced flexural waves in a circular ring by the method of characteristics. Journal of Applied Mechanics, Transactions ASME 65 (3) : 569-579. ScholarBank@NUS Repository.
Abstract: A study of elastic wave propagation in a curved beam (circular ring) is presented. The governing equations of motion are formulated in two forms based on Timoshenko beam theory. Solutions are obtained using the method of characteristics, whereby a numerical scheme employing higher-order interpolation is proposed for the finite difference equations. Results obtained are verified by experiments; it is found that use of the higher-order numerical scheme improves correlation with experimental results. Comparison of the relative accuracy between the two mathematical formulations - one in terms of generalized forces and velocities and the other in terms of generalized displacements - shows the former to be mathematically simpler and to yield more accurate results.
Source Title: Journal of Applied Mechanics, Transactions ASME
ISSN: 00218936
Appears in Collections:Staff Publications

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