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Repetitive beam-like structures: Distributed loading and intermediate support

Stephen, N.G. (2009) Repetitive beam-like structures: Distributed loading and intermediate support International Journal of Solids and Structures, 46, (20), pp. 3664-3668. (doi:10.1016/j.ijsolstr.2009.06.016).

Record type: Article


Theory is developed for the elastostatic transfer matrix analysis of a repetitive beam-like structure subject to point-wise distributed loading, with and without an intermediate support; this complements previous work in which loading is applied at one end only and reacted at the other. State-vectors are expressed in terms of participation coefficients of the eigen- and principal vectors, leading to the simplest description of the evolution of nodal displacement and force components as one moves along the structure, in terms of powers of the Jordan canonical form. Inaccuracy due to ill-conditioning is explained in terms of powers of greater than unity eigenvalues

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Submitted date: 15 July 2008
Published date: 1 October 2009
Keywords: repetitive structure, transfer matrix, jordan canonical form, participation coefficients
Organisations: Computational Engineering and Design


Local EPrints ID: 71630
ISSN: 0020-7683
PURE UUID: 3cf0a3df-84d7-4102-86a3-746045392052

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Date deposited: 16 Dec 2009
Last modified: 18 Jul 2017 23:59

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