A numerical kernel solution of beam systems

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摘要

For many engineering problems, it is always too difficult to get the exact solutions, one usually tries to find a numerical solution to the problems. Many discrete methods have been proposed and the finite element method may be a good one. When the number of the discrete elements is very great, the numerical method will also encounter some difficulties (Aliabadi, 2002) [1], for example, it always takes a lot of time for calculation. A kernel solution of the beam system is proposed in the paper, using the proposed method one can obtain the solution to the bending problem of beam systems only by getting the solution to the boundary equations of beam systems. An example of the numerical solution is also presented in the paper.

论文关键词:Beam system,Finite element,Kernel solution of linear system,Bending problem,Circulant system

论文评审过程:Available online 1 July 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.06.030