Usefulness of passive non-linear energy sinks in controlling galloping vibrations |
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| Institution: | 1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China;2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;3. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA;1. Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing, 400045, China;2. School of Civil Engineering, Chongqing University, Chongqing, 400045, China;3. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, 200092, China;4. Chongqing Jiaotong University, Chongqing, 404100, China;1. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, 200092, China;2. Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai, 200092, China;1. Department of Aerospace Engineering, University of Illinois at Urbana–Champaign, 104 South Wright Street, Urbana, IL 61801, United States;2. Department of Mechanical Science and Engineering, University of Illinois at Urbana–Champaign, 1206 West Green Street, Urbana, IL 61801, United States;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. Faculty of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China;3. Department of Mechanics, Shanghai University, Shanghai 200444, China;4. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;1. Department of Mechanical Engineering, Islamic Azad University, Karaj Branch, Karaj, Iran;2. Department of Propaedeutics of Dental Diseases, Sechenov First Moscow State Medical University, Moscow, Russia;3. Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran;4. Department of Mechanical Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran;5. Department of Mechanical Engineering, Guilan University, Rasht, Iran |
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| Abstract: | The suppression of vibration amplitudes of an elastically-mounted square prism subjected to galloping oscillations by using a non-linear energy sink is investigated. The non-linear energy sink consists of a secondary system with linear damping and non-linear stiffness. A representative model that couples the transverse displacement of the square prism and the non-linear energy sink is constructed. A linear analysis is performed to determine the impacts of the non-linear energy sink parameters (mass, damping, and stiffness) on the coupled frequency and onset speed of galloping. It is demonstrated that increasing the damping of the non-linear energy sink can result in a significant increase in the onset speed of galloping. Then, the normal form of the Hopf bifurcation is derived to identify the type of instability and to determine the effects of the non-linear energy sink stiffness on the performance of the aeroelastic system near the bifurcation. The results show that the non-linear energy sink can be efficiently implemented to significantly reduce the galloping amplitude of the square prism. It is also shown that the multiple stable responses of the coupled aeroelastic system are obtained as well as the periodic responses, which are dependent on the considered non-linear energy sink parameters. |
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| Keywords: | Non-linear energy sink Galloping Normal form Hopf bifurcation |
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