Large Deflection Analysis of Prismatic Cantilever Beam Comparatively by Using Combing Method and Iterative DQM

Year 2020, Volume: 23 Issue: 1, 111 - 120, 01.03.2020

Zekeriya Girgin , Faruk Emre Aysal , Hüseyin Bayrakçeken

https://doi.org/10.2339/politeknik.504480

Cited By: 2

Abstract

There is no exactly analytical solution for the large
deflection problem of prismatic cantilever beams under general loading
conditions. In the case of considering a non-prismatic cantilever beam, the
difficulty of the larger deflection problem is increased. In this study, the
comparison of the Iterative Differential Quadrature Method (I-DQM) and the
Combining Method (CM) was performed. Numerical solution of the large deflection
problem was separately performed with both the I-DQM and the CM for prismatic
cantilever beams. The obtaining results show that both of these methods gave
more accurate solutions compared with a reliable semi-analytic method which was
introduced by Dado and Sadder (2005). Besides, it was demonstrated that the
I-DQM provided a more wide-range solution than the CM.

Keywords

Large deflection, iterative differential quadrature method, combining method, nonlinear simulation, cantilever prismatic beam

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