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COBEM 2023
27th International Congress of Mechanical Engineering
On The Dynamic Behaviour of Finite and Infinite Beams with Lumped Parameter Attachments
Submission Author:
Jean Paulo Carneiro Junior , MS , Brazil
Co-Authors:
Jean Paulo Carneiro Junior, Paulo José Paupitz Gonçalves, Michael Brennan, Vladislav Sorokin, Vinicius Germanos Cleante, Brian Mace, Donovan du Toit
Presenter: Paulo José Paupitz Gonçalves
doi://10.26678/ABCM.COBEM2023.COB2023-1877
Abstract
There is a growing number of structural design forms favouring unorthodox and/or very slender structures. Many studies have been dedicated to methods for modelling and mitigating vibrations in such systems. A simple way to analyse vibration control alternatives in slender structures is to model them as one-dimensional waveguides. Among the methods applied in such analyses, wave-based approaches are widely found in the literature. Still, they are often restricted to infinite systems, which leads to obscure the relationship with the behaviour of finite structures. This work describes the propagation of vibration in infinite and finite slender beams, with attached force and moment type discrete elements. Using the wave approach, the transmission coefficient of an infinite beam with general dynamic stiffness attached is assessed. From the dynamic stiffness and receptance matrix method, the displacement transmissibility of a finite beam is obtained, allowing the direct prediction of the behaviour of slender systems with attached discrete dynamic stiffness elements. Numerical results discuss the effects of coupling a pure moment inertia and a translational grounded spring to the beam. The analysis shows the formation of an ultra-wide attenuation band, due to the correct tuning of the local resonance effect. Experimental procedures were conducted to support the theoretical discussions, showing good agreement between the results.
Keywords
Transfer Matrix Method, Vibration Suppression, Transmission Coefficient, Force-Moment Discontinuity, Displacement Transmissibility
