NEW ADMISSIBLE FUNCTIONS FOR THE DYNAMIC ANALYSIS OF A SLEWING FLEXIBLE BEAM |
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| Affiliation: | 1. School of Astronautics, Northwestern Polytechnical University, Xi''an, 710072, China;2. Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ, 07030, USA;1. The Henry Royce Institute and Department of Engineering Materials, The University of Sheffield, Sir Robert Hadfield Building, Sheffield, S1 3JD, UK;2. The Department of Materials Science & Engineering, The University of Sheffield, Sir Robert Hadfield Building, Sheffield, S1 3JD, UK;1. Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran;2. Department of Cognitive Modelling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C, Tehran, Iran;1. Faculty of Science and Letters, Department of Chemistry, Istanbul Technical University Maslak, 34469 Istanbul, Turkey;2. Arda Vocational School, Department of Chemistry and Chemical Processing Technology, Trakya University, 22100 Edirne, Turkey;3. Department of Mechanical Engineering, University of Turkish Aeronautical Association, 06790 Ankara, Turkey;4. Materials Institute, TUBITAK, Marmara Research Center, P.O. Box 21, 41470 Gebze, Kocaeli, Turkey |
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| Abstract: | An important question associated with the modelling of a slewing beam is the discretization of a continuous elastic beam. If discretization is performed by the assumed mode method, the question arises about the type of admissible functions to be used in series expansions. In this regard, the eigenfunctions of a non-rotating clamped–free uniform beam known as cantilever modes have been widely used as admissible functions for the dynamic analysis of the slewing beam. The discretization will be sufficient provided that the set of admissible functions is complete and a sufficiently large number of functions is used. However, there are cases that we need to approximate the model with a small number of admissible functions. Examples are numerical simulation and control design. In this paper, new admissible functions which approximate the dynamic characteristics of the slewing beam more accurately than the eigenfunctions of the non-rotating clamped–free uniform beam is developed and its efficiency is verified by numerical examples. |
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