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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/3915

Title: Application of eigenfunction orthogonalities to vibration problems
Authors: Fedotov, I
Fedotova, T
Shatalov, M
Tenkam, HM
Keywords: Green's function
Bishop theory
Orthogonality
Wave equation
Vibration
Eigenfunction orthogonalities
Issue Date: Jul-2009
Citation: Fedotov, I, Fedotova, T et al. 2009. Application of eigenfunction orthogonalities to vibration problems. World Congress on Engineering 2009, London, U.K., 1-3 July 2009, pp 5
Abstract: The modelling of vibration problems is of great importance in engineering. A popular method of analysing such problems is the variational method. The simplest vibration model is represented using the example of a long rod. Two kinds of eigenfunctions orthogonality are proved and the corresponding norms are used to derive Green's function that gives rise to an analytical solution of the problem. The method can be easily generalized to a broad class of hyperbolic problems.
Description: World Congress on Engineering 2009, London, U.K., 1-3 July 2009
URI: http://hdl.handle.net/10204/3915
ISBN: 978-988-18210-1-0
Appears in Collections:Advanced mathematical modelling and simulation
General science, engineering & technology

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