Nonlinear dynamics of cantilevered pipes conveying fluid: Towards a further understanding of the effect of loose constraints |
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| Affiliation: | 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. 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. Wuhan Second Ship Design and Research Institute, Wuhan 430205, China;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 Engineering Science and Mechanics, MC 0219, Virginia Tech, Blacksburg, VA 24061, USA;1. School of Mechanical Engineering and Automation, Northeastern University, Liaoning 110819, PR China;2. Faculty of Aerospace Engineering, Shenyang Aerospace University, Liaoning 110136, PR China;3. Beijing Key Laboratory on Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology Beijing 100124, PR China;1. Institute of Applied Mechanics, Faculty of Mechanical Engineering, Cracow University of Technology, Jana Pawła II 37, 31-864 Krakow, Poland;2. Laboratory of Techno-Climatic Research, Faculty of Mechanical Engineering, Cracow University of Technology, Jana Pawła II 37, 31-864 Krakow, Poland |
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| Abstract: | The nonlinear dynamics of a fluid-conveying cantilevered pipe with loose constraints placed somewhere along its length is investigated. The main objective of this study is to determine the effects of several geometrical and physical parameters of the loose constraints on the characteristics and behavior of pipes conveying fluid. Based on the full nonlinear equation of motion, the dynamical behavior of the pipe system is investigated. Phase portraits and bifurcation diagrams are constructed for a selected set of system parameters. Typical results are firstly compared to numerical ones reported previously and excellent agreement is obtained. Then, the threshold flow velocities for several key bifurcations including pitchfork, period doubling, chaos, and sticking behaviors are predicted, showing that in many cases, the gap size, stiffness, and asymmetry of the loose constraints have remarkable effects on the nonlinear responses of the cantilevered pipe conveying fluid. For a pipe system with small/large constraint gap sizes, small constraint stiffness, or large constraint offset, some of the complex dynamical behaviors including chaos and period-doubling bifurcations would disappear, at least in the flow velocity range of interest. |
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| Keywords: | Pipe conveying fluid Loose constraint Nonlinear dynamics Chaotic motion Bifurcation |
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