Politeknik Dergisi 2147-9429 Gazi Üniversitesi 10.2339/politeknik.504480 Engineering Mühendislik Large Deflection Analysis of Prismatic Cantilever Beam Comparatively by Using Combing Method and Iterative DQM Large Deflection Analysis of Prismatic Cantilever Beam Comparatively by Using Combing Method and Iterative DQM https://orcid.org/0000-0001-5958-9735 Girgin Zekeriya PAMUKKALE UNIVERSITY,FACULTY OF ENGİNEERİNG https://orcid.org/0000-0002-9514-1425 Aysal Faruk Emre AFYON KOCATEPE UNIVERSITY, FACULTY OF TECHNOLOGY https://orcid.org/0000-0002-1572-4859 Bayrakçeken Hüseyin AFYON KOCATEPE UNIVERSITY, FACULTY OF TECHNOLOGY 03 01 2020 23 1 111 120 12 28 2018 03 07 2019 Copyright © 1998, Politeknik Dergisi 1998 Politeknik Dergisi

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

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

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