Amplitude death of a multi-module floating airport
详细信息    查看全文
  • 作者:Haicheng Zhang (1)
    Daolin Xu (1)
    Chao Lu (1)
    Enrong Qi (2)
    Jiajun Hu (2)
    Youshen Wu (2)

    1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body
    ; Hunan University ; Changsha ; China
    2. China Ship Scientific Research Center
    ; Wuxi ; China
  • 关键词:Amplitude death ; Non ; autonomous system ; Piecewise nonlinear coupling ; Network dynamics
  • 刊名:Nonlinear Dynamics
  • 出版年:2015
  • 出版时间:March 2015
  • 年:2015
  • 卷:79
  • 期:4
  • 页码:2385-2394
  • 全文大小:1,353 KB
  • 参考文献:1. Sea Legs of Floating Airport Prevents Roll and Pitch. Popular Mechanics (1930)
    2. Suzuki, H (2005) Overview of megafloat: concept, design criteria, analysis, and design. Mar. struct. 18: pp. 111-132 CrossRef
    3. Wu, YS (1984) Hydroelasticity of Floating Bodies. Brunel University, UK
    4. Derstine, MS, Brown, RT (2000) A compliant connector concept for the mobile offshore base. Mar. Struct. 13: pp. 399-419 CrossRef
    5. Remmers, G., Zueck, R., Palo, P., Taylor, R.: Mobile offshore base. Paper presented at the International Offshore and Polar Engineering Conference, International Offshore and Polar Engineering, Montreal, Canada, May
    6. Riggs, H, Ertekin, R (1993) Approximate methods for dynamic response of multi-module floating structures. Mar. Struct. 6: pp. 117-141 CrossRef
    7. Pikovsky, A, Rosenblum, M, Kurths, J (2003) Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge
    8. Kaneko, K (1993) Theory and Applications of Coupled Map Lattices. Wiley, New York
    9. Ott, E (2002) Chaos in Dynamical Systems. Cambridge University Press, Cambridge CrossRef
    10. Pecora, LM, Carroll, TL (1990) Synchronization in chaotic systems. Phys. Rev. Lett. 64: pp. 821-824 CrossRef
    11. Aronson, DG, Ermentrout, GB, Kopell, N (1990) Amplitude response of coupled oscillators. Phys. D Nonlinear Phenom. 41: pp. 403-449 CrossRef
    12. Saxena, G, Prasad, A, Ramaswamy, R (2012) Amplitude death: the emergence of stationarity in coupled nonlinear systems. Phys. Rep. 521: pp. 205-228 CrossRef
    13. Resmi, V, Ambika, G, Amritkar, R (2011) General mechanism for amplitude death in coupled systems. Phys. Rev. E 84: pp. 046212 CrossRef
    14. Bar-Eli, K (1984) Coupling of chemical oscillators. J. Phys. Chem. 88: pp. 3616-3622 CrossRef
    15. Mirollo, RE, Strogatz, SH (1990) Amplitude death in an array of limit-cycle oscillators. J. Stat. Phys. 60: pp. 245-262 CrossRef
    16. Ramana Reddy, D, Sen, A, Johnston, GL (1998) Time delay induced death in coupled limit cycle oscillators. Phys. Rev. Lett. 80: pp. 5109-5112 CrossRef
    17. Karnatak, R, Ramaswamy, R, Prasad, A (2007) Amplitude death in the absence of time delays in identical coupled oscillators. Phys. Rev. E 76: pp. 035201 CrossRef
    18. Konishi, K (2003) Amplitude death induced by dynamic coupling. Phys. Rev. E 68: pp. 067202 CrossRef
    19. Prasad, A, Dhamala, M, Adhikari, BM, Ramaswamy, R (2010) Amplitude death in nonlinear oscillators with nonlinear coupling. Phys. Rev. E 81: pp. 027201 CrossRef
    20. Sharma, PR, Sharma, A, Shrimali, MD, Prasad, A (2011) Targeting fixed-point solutions in nonlinear oscillators through linear augmentation. Phys. Rev. E 83: pp. 067201 CrossRef
    21. Chen, HL, Yang, JZ (2009) Transition to amplitude death in coupled system with small number of nonlinear oscillators. Commun. Theor. Phys. (Beijing, China) 51: pp. 460-464 CrossRef
    22. Matthews, PC, Strogatz, SH (1990) Phase diagram for the collective behavior of limit-cycle oscillators. Phys. Rev. Lett. 65: pp. 1701-1704 CrossRef
    23. Matthews, PC, Mirollo, RE, Strogatz, SH (1991) Dynamics of a large system of coupled nonlinear oscillators. Phys. D Nonlinear Phenom. 52: pp. 293-331 CrossRef
    24. Hou, Z, Xin, H (2003) Oscillator death on small-world networks. Phys. Rev. E 68: pp. 055103(R) CrossRef
    25. Dodla, R, Sen, A, Johnston, GL (2004) Phase-locked patterns and amplitude death in a ring of delay-coupled limit cycle oscillators. Phys. Rev. E 69: pp. 056217 CrossRef
    26. Konishi, K.: Amplitude death in oscillators coupled by a one-way ring time-delay connection. Phys. Rev. E 70(6), 066201 (2004)
    27. Liu, W, Wang, X, Guan, S, Lai, C-H (2009) Transition to amplitude death in scale-free networks. New J. Phys. 11: pp. 093016 CrossRef
    28. Pisarchik, A (2003) Oscillation death in coupled nonautonomous systems with parametrical modulation. Phys. Lett. A 318: pp. 65-70 CrossRef
    29. Stoker, JJ (2011) Water Waves: The Mathematical Theory with Applications. Wiley-Interscience, New York
    30. Sannasiraj, S, Sundaravadivelu, R, Sundar, V (2001) Diffraction鈥搑adiation of multiple floating structures in directional waves. Ocean Eng. 28: pp. 201-234 CrossRef
    31. Zheng, Y, You, Y, Shen, Y (2004) On the radiation and diffraction of water waves by a rectangular buoy. Ocean Eng. 31: pp. 1063-1082 CrossRef
    32. Sannasiraj, S, Sundar, V, Sundaravadivelu, R (1998) Mooring forces and motion responses of pontoon-type floating breakwaters. Ocean Eng. 25: pp. 27-48 CrossRef
    33. Moon, FC (1987) Chaotic Vibrations: An Introduction for Applied Scientists and Engineers. Wiley, New York
    34. Brennan, MJ, Kovacic, I, Carrella, A, Waters, TP (2008) On the jump-up and jump-down frequencies of the Duffing oscillator. J. Sound Vib. 318: pp. 1250-1261 CrossRef
    35. Rosenblum, MG, Pikovsky, AS, Kurths, J (1997) From phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett. 78: pp. 4193 CrossRef
    36. Banerjee, T, Biswas, D (2013) Amplitude death and synchronized states in nonlinear time-delay systems coupled through mean-field diffusion. Chaos 23: pp. 043101 CrossRef
  • 刊物类别:Engineering
  • 刊物主题:Vibration, Dynamical Systems and Control
    Mechanics
    Mechanical Engineering
    Automotive and Aerospace Engineering and Traffic
  • 出版者:Springer Netherlands
  • ISSN:1573-269X
文摘
In this paper, the nonlinear dynamics of a multi-module floating airport is studied. The floating airport consists of a number of floating modules serially coupled by flexible connectors. A non-autonomous network model is proposed with a new feature of piecewise nonlinear coupling. The investigation focuses on the onset of the phenomenon of amplitude death that corresponds to the oscillation suppression of the floating structure in waves. Parametric domains of the coupling strengths are analyzed for the amplitude death, and the underlying mechanism is further discussed. The transitions among different dynamic patterns are illustrated. Various types of collective behaviors in the network can be observed, such as complete synchronization, generalized lag synchronization, and phase-locking phenomenon. The amplitude death behavior is considerably valuable in providing theoretical guidelines for the safety design of very large floating structures.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700