Damping for large-amplitude vibrations of plates and curved panels,Part 1: Modeling and experiments |
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| Affiliation: | 1. Department of Precision of Microsystems Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands;2. Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Canada H3A 0C3;3. Department of Industrial Engineering, University of Parma, Parco Area delle Scienze 181/A, Parma 43100, Italy;4. Center of Excellence for Research and Innovation Technology (CERIT) – INAIL – Research, Certification and Verification Area, c/o University of Parma, Department of Industrial Engineering, Via Usberti 181/A, Parma 43124, Italy;1. Department of Civil, Chemical, Environmental and Materials – DICAM, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy;2. Chair for Structures and Structural Design – RWTH-Aachen University, Schinkelstr. 1, 52064 Aachen, Germany;1. Department of Civil Engineering, Indian Institute of Technology (ISM), Dhanbad 826004, India;2. Department of Mechanical Engineering, McGill University, Montreal, PQ H3A 2K6, Canada;3. Department of Civil Engineering, Birla Institute of Technology & Science, Pilani 333031, India;1. Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, PQ H3A 0C3, Canada;2. J. Mike Walker ‘66 Department of Mechanical Engineering, Texas A&M University, College Station, TX, 77843-3123 USA;3. Department of Mechanical Engineering, University of North Texas, Denton, TX;4. Dipartimento di Ingegneria ed Architettura, University of Parma, Parma, Italy |
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| Abstract: | Theoretical and experimental non-linear vibrations of thin rectangular plates and curved panels subjected to out-of-plane harmonic excitation are investigated. Experiments have been performed on isotropic and laminated sandwich plates and panels with supported and free boundary conditions. A sophisticated measuring technique has been developed to characterize the non-linear behavior experimentally by using a Laser Doppler Vibrometer and a stepped-sine testing procedure. The theoretical approach is based on Donnell's non-linear shell theory (since the tested plates are very thin) but retaining in-plane inertia, taking into account the effect of geometric imperfections. A unified energy approach has been utilized to obtain the discretized non-linear equations of motion by using the linear natural modes of vibration. Moreover, a pseudo arc-length continuation and collocation scheme has been used to obtain the periodic solutions and perform bifurcation analysis. Comparisons between numerical simulations and the experiments show good qualitative and quantitative agreement. It is found that, in order to simulate large-amplitude vibrations, a damping value much larger than the linear modal damping should be considered. This indicates a very large and non-linear increase of damping with the increase of the excitation and vibration amplitude for plates and curved panels with different shape, boundary conditions and materials. |
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| Keywords: | Non-linear vibrations Rectangular plates Curved panels Damping Experiments |
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