IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v151y2021ics0960077921006275.html
   My bibliography  Save this article

Cross-sectional flattening-induced nonlinear damped vibration of elastic tubes subjected to transverse loads

Author

Listed:
  • Zhu, Jue
  • Yuan, Wei-bin
  • Li, Long-yuan

Abstract

This paper presents an analytical solution of the cross-sectional flattening-induced nonlinear vibration of elastic tubes when subjected to transverse harmonic excitation. It is shown that the equation of motion describing the beam-type transverse vibration of elastic tubes can be characterized by the Duffing equation with cubic nonlinearity, in which the nonlinear term reflects the influence of the cross-sectional flattening on the beam-type transverse vibration of the tubes. The degree of nonlinearity of the transverse vibration is found to be governed directly by the dimensionless amplitude of the harmonic force. The nonlinear feature and corresponding stability of the beam-type response of the tubes under the action of harmonic excitation are discussed. Numerical examples are provided to demonstrate the rationality of the present analytical model.

Suggested Citation

  • Zhu, Jue & Yuan, Wei-bin & Li, Long-yuan, 2021. "Cross-sectional flattening-induced nonlinear damped vibration of elastic tubes subjected to transverse loads," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006275
    DOI: 10.1016/j.chaos.2021.111273
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921006275
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111273?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liu, Q.X. & Liu, J.K. & Chen, Y.M., 2017. "An analytical criterion for jump phenomena in fractional Duffing oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 216-219.
    2. Zhang, Guoqi & Wu, Zhiqiang, 2019. "Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 342-353.
    3. Wang, QiuBao & Yang, YueJuan & Zhang, Xing, 2020. "Weak signal detection based on Mathieu-Duffing oscillator with time-delay feedback and multiplicative noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    4. Marinca, Vasile & Herişanu, Nicolae, 2008. "Periodic solutions of Duffing equation with strong non-linearity," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 144-149.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yang, GuiJiang & Ai, Hao & Liu, Wei & Wang, Qiubao, 2023. "Weak signal detection based on variable-situation-potential with time-delay feedback and colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Huang, Pengfei & Chai, Yi & Chen, Xiaolong, 2022. "Multiple dynamics analysis of Lorenz-family systems and the application in signal detection," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. Hossein Amini & Ali Mehrizi-Sani & Reza Noroozian, 2024. "Passive Islanding Detection of Inverter-Based Resources in a Noisy Environment," Energies, MDPI, vol. 17(17), pages 1-20, September.
    4. Minghui Lv & Xiaopeng Yan & Ke Wang & Xinhong Hao & Jian Dai, 2024. "Adaptive Measurement and Parameter Estimation for Low-SNR PRBC-PAM Signal Based on Adjusting Zero Value and Chaotic State Ratio," Mathematics, MDPI, vol. 12(20), pages 1-21, October.
    5. Kaya, M.O. & Altay Demirbağ, S., 2009. "Application of parameter expansion method to the generalized nonlinear discontinuity equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1967-1973.
    6. Valentine Kim & Roman Parovik, 2020. "Mathematical Model of Fractional Duffing Oscillator with Variable Memory," Mathematics, MDPI, vol. 8(11), pages 1-14, November.
    7. Li, Haiping & Tian, Ruilan & Xue, Qiang & Zhang, Yangkun & Zhang, Xiaolong, 2022. "Improved variable scale-convex-peak method for weak signal detection," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006275. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.