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.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||Publisher does not formally support archiving.|
|Uncontrolled Keywords:||radial basis functions, mesh free methods, IRBF, Timoshenko beam|
|Subjects:||290000 Engineering and Technology|
|Depositing User:||Prof Thanh Tran-Cong|
|Date Deposited:||18 Feb 2008 23:14|
|Last Modified:||02 Jul 2013 22:58|
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