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On the approximate determination of the fundamental frequency of a restrained cantilever beam carrying a tip heavy body
Affiliation:1. Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, A. C., Tehran, Iran;2. Department of Mechanical Engineering, Ecole Polytechnique, Montreal, QC, H3T 1J4, Canada;1. Fisheries Faculty, Ege University, TR-35100 Bornova, İzmir, Turkey;2. SINTEF Fisheries and Aquaculture, Fishing Gear Technology, Willemoesvej 2, 9850 Hirtshals, Denmark;3. Fisheries Faculty, Çukurova University, TR-01330, Sarıçam, Adana, Turkey;4. DTU Aqua, Technical University of Denmark, North Sea Science Park, DK-9850 Hirtshals, Denmark;5. Graduate School of Natural and Applied Sciences, Fisheries Department, Ege University, TR-35100 Bornova, İzmir, Turkey;6. Norwegian College of Fishery and Aquatic Science, University of Tromsø, 9037 Breivika, Tromsø, Norway;1. Department of Mechanical Engineering, Dokuz Eylül University, Izmir, Turkey;2. Department of Mechanical Engineering, Manisa Celal Bayar University, Manisa, Turkey;1. Department of Marine Engineering, Ocean University of China, Qingdao 266100, China;2. Department of Mechatronic Engineering, Ocean University of China, Qingdao 266100, China;3. Key Laboratory of Ocean Engineering of Shandong Province, Ocean University of China, Qingdao 266100, China;4. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Abstract:This paper deals with the approximate determination of the fundamental bending eigenfrequency of a restrained cantilevered beam carrying a tip heavy body by the combined use of the Dunkerley's and Southwell's methods. A simple algebraic expression is introduced to calculate the fundamental frequency with satisfactory accuracy for preliminary design purposes.
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