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On the accuracy of finite difference schemes for beam problems in the elastic range

Davoudi, Mohammad Mahd and Öchsner, Andreas (2013) On the accuracy of finite difference schemes for beam problems in the elastic range. In: Materialwissenschaft und Werkstofftechnik.

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Official URL: http://dx.doi.org/10.1002/mawe.201300156

Abstract

The finite difference method is applied to derive approximate solutions for the bending line of Euler-Bernoulli beam problems. The investigations are restricted to simple static configurations, i. e. straight beams with constant symmetrical cross-sections and constant elastic material properties. Only finite difference schemes of second-order accuracy are considered and special emphasis is given to the implementation of the boundary conditions. Based on comparisons with the exact solutions, clear recommendations can be given on the required number of nodes to obtain a certain accuracy in the numerical approach.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:approximate solution, boundary conditions, elastic bending, error estimate, fictitious nodes, numerical method
Subjects:Q Science > QH Natural history
T Technology > TJ Mechanical engineering and machinery
Divisions:Biosciences and Medical Engineering
ID Code:51214
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:12 Jun 2017 11:59

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