The dynamic behavior of beams with varying cross section and partially immersed in liquid is examined by means of a direct integration approach of the equation of motion. The proposed structural model is quite useful as a simplified model of structures with complex geometries and unusual load conditions. The Euler-Bernoulli hypothesis is assumed to be valid, henceforth the solutions can be expressed in term of Bessel functions, while the press are frequency-dependent. The problem is solved by employing an ad hoc transformation of the equation of motion, and the orthogonality conditions of the eigenfunctions are computed. Numerous numerical examples are proposed for the calculation of the free frequencies of vibration to vary some parameter of taper of the beams.
Dynamic analysis of immersed tapered column carrying an eccentric mass at the free
AUCIELLO, Nicola Maria
2013-01-01
Abstract
The dynamic behavior of beams with varying cross section and partially immersed in liquid is examined by means of a direct integration approach of the equation of motion. The proposed structural model is quite useful as a simplified model of structures with complex geometries and unusual load conditions. The Euler-Bernoulli hypothesis is assumed to be valid, henceforth the solutions can be expressed in term of Bessel functions, while the press are frequency-dependent. The problem is solved by employing an ad hoc transformation of the equation of motion, and the orthogonality conditions of the eigenfunctions are computed. Numerous numerical examples are proposed for the calculation of the free frequencies of vibration to vary some parameter of taper of the beams.File | Dimensione | Formato | |
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