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A cantilever beam damper suppressing rectangular plate vibrations
Institution:1. Department of Mechanical Engineering, Ilam University, Ilam 69315-516, Iran;2. Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran;1. Mathematical Institute of the SASA, Kneza Mihaila 36, 11001 Belgrade, Serbia;2. School of Engineering, University of the West of Scotland, Paisley PA12BE, UK;3. College of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, UK
Abstract:The use of cantilever beams in suppressing excessive resonance amplitudes of rectangular cantilever plates is considered, and optimum values of their tuning and damping parameters are specified in graphical form. Because the cantilever plate problem, which is of strong industrial interest, does not lend itself to a Lévy-type solution, the Ritz method is used. Structural damping is incorporated into the main and auxiliary systems by treating them as having a complex elastic modulus. With appropriate selection of the parameters, the fundamental resonance of the plate is split into two new ones with considerably suppressed responses. In order to verify the analysis, an experimental investigation was carried out and the results obtained are compared with the theory developed.
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