Journal of Applied and Computational Mechanics
Natural frequencies and internal resonance of beams with arbitrarily distributed axial loads
Document Type : Special Issue Paper
Authors
Department of Civil and Building Engineering and Architecture, Polytechnic University of Marche, 60131 Ancona, Italy
Abstract
An exact analytical solution for transversal free vibrations of a beam subjected to an arbitrary distributed axial load and a tip tension is obtained by means of a power series representation, whose coefficients are determined recursively in an easy way. The dependence on the natural frequencies on the load is then investigated, and the buckling load (corresponding to vanishing frequency) is also discussed. Next, the 1:3 internal resonance between the first and the second mode is deeply studied, and an interesting (and unexpected) property is found for linearly distributed axial loads
Keywords
Main Subjects
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