The IUP Journal of Structural Engineering :
A Comparative Study of Finite Element Formulation and Numerical Experiment for the Large Deflections of Compound Tapered Cantilever Columns

Article Details
Pub. Date : Jan, 2019
Product Name : The IUP Journal of Structural Engineering
Product Type : Article
Product Code : IJSE41901
Author Name : K Durga Rao, N V Swamy Naidu and G Venkateswara Rao
Availability : YES
Subject/Domain : Science and Technology
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No. of Pages : 24

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Abstract

The paper investigates post-buckling of Compound Tapered Cantilever (CTC) columns constructed with two different materials having Young’s modulii E1 (titanium) and E2 (aluminium) in the light of their large deflections. Galerkin finite element method is used to obtain the ratios of post-buckling to buckling (critical) loads. The results from those of a uniform column are validated. For the CTC column, where a solution is not available, the present results are validated through a convergence study and are treated as accurate. As an alternative, a numerical experiment, which is based on intuition, is proposed. The same results with a small difference are obtained from the numerical experiment, and these results are also validated.


Description

The Compound Tapered Cantilever (CTC) columns have attracted scientific interest for use in structural members such as universal joints, nuclear reactors, twisted drills, turbine blade assemblies and gear hubs (Ephraim, 1989; and Swati et al., 2013). CTC columns are made up of two equal segments, whose length is L, which are free at one end and clamped at another end (Rao et al., 2015). The two equal segments are designed with two different combinations of material systems such as titanium-aluminum and steel-aluminum whose Young’s modulii are E1 and E2 (E1 > E2 and E1/E2 and = n). Furthermore, the ratio of Young’s modulii (n = E1/E2) comes very close to unity, which reveals a uniform cantilever column (Timoshenko and Gere, 1961). FE-based optimization procedures were employed for buckling and post-buckling loads of cantilever columns, and the method was found to be an efficient one among all other methods (Venkayya et al., 1973; Khot et al., 1976; and Rao and Swami, 1980).


Keywords

Post-buckling, Compound column, Taper, Finite elements, Galerkin method, Numerical experiment

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