Asymptotic analysis of the vibration spectrum of coupled Timoshenko beams with a dissipative joint |
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| Authors: | Matthew P. Coleman Les Schaffer |
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| Affiliation: | 1. Department of Mathematics and Computer Science, Fairfield University, Fairfield CT 06824-5195, USA;2. Department of Physics, Fairfield University, Fairfield CT 06824-5195, USA;1. School of Civil Engineering, University of Sydney, NSW 2006, Australia;2. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, UNSW Sydney, NSW 2052, Australia;3. College of Engineering and Science, Victoria University, Melbourne, VIC, Australia;1. Institute of Sound and Vibration Research, University of Southampton, Southampton, SO17 1BJ, UK;2. Departamento de Engenharia Mecânica, UNESP, Ilha Solteira, SP15385-000, Brazil;1. IRCCyN/École des Mines, 4 rue Alfred Kastler, BP 20722, 44307 Nantes, France;2. Inst. of Math., University of Szczecin, Wielkopolska 15, 70451 Szczecin, Poland |
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| Abstract: | Complex flexible structures often are composed of simpler objects like beams joined end-to-end. We consider the case of two identical Timoshenko beams, coupled together at a typical energy-dissipating joint. The Wave Propagation Method of Keller and Rubinow is employed to compute the vibration spectrum of the system. It is found that the spectrum consists of a typical double-branched Timoshenko spectrum. In addition, however, for most combinations of energy-conserving end conditions, at least one of these branches decomposes into two sub-branches, one which is damped and one, undamped. |
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