A Proposed Technique for Large Deflection Analysis of Cantilever Beams Composed of Two Nonlinear Elastic Materials Subjected to an Inclined Tip Concentrated Force

Abstract

A new technique was proposed for the large deflection problem of a prismatic composite cantilever beam made of two different nonlinear elastic materials and subjected to an inclined tip concentrated force. Two types of composite cantilever beams were considered in this study: A solid rectangular and a hollow circular cross-section beam.

The proposed technique assumes that the behavior of a composite cantilever beam is equivalent to the behavior of two homogeneous cantilever beams. A semi-analytical solution describing the complete behavior of each homogeneous beam was derived and the complete deflection curve of the composite cantilever beam was obtained by considering the weighted average deflection curves of the two homogeneous cantilevers with respect to the tip forces.

Several numerical examples were presented at the end of the study. Results obtained using the proposed technique were compared with results obtained using the software ADINA and found to be in good agreement.

Keywords

ADINA composite cantilever beam large deflections nonlinear elastic material semi-analytical solution

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