Timoshenko beam-solution in terms of integrated radial basis functions

Khennane, Amar and Tran-Cong, Thanh (2007) Timoshenko beam-solution in terms of integrated radial basis functions. In: 5th Australasian Congress on Applied Mechanics (ACAM 2007), 10-12 Dec 2007, Brisbane, Australia.


[Abstract]: The Indirect Radial Basis Function (IRBF) method is a mesh free method that operates on
the strong form of a differential equation. It uses a point interpolation method, which makes the
implementation of boundary conditions very easy. It does not require any numerical integration as the
method starts with the interpolation of the highest order derivatives of the unknown function with radial
basis functions. The lesser order derivatives and the function itself are obtained using symbolic
integration, which ensures no loss of accuracy. The method is used to solve the Timoshenko beam.
Typical results for uniformly distributed loads are compared to similar predictions obtained from
analytical solutions. Excellent agreement is obtained for a variety of boundary conditions.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Publisher does not formally support archiving.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 18 Feb 2008 23:14
Last Modified: 02 Jul 2013 22:58
Uncontrolled Keywords: radial basis functions, mesh free methods, IRBF, Timoshenko beam
Fields of Research : 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
09 Engineering > 0913 Mechanical Engineering > 091308 Solid Mechanics
URI: http://eprints.usq.edu.au/id/eprint/3859

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