IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i24p3888-d1540602.html
   My bibliography  Save this article

The Nonlinear Dynamic Response and Vibration Transmission Characteristics of an Unloading System with Granular Materials

Author

Listed:
  • Shihua Zhou

    (School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
    Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China)

  • Yue Wang

    (School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China)

  • Kaibo Ji

    (School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China)

  • Xuan Li

    (School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China)

  • Yu Chen

    (School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China)

  • Zhaohui Ren

    (School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China)

Abstract

The aim of this study is to research the flow property of granular materials under nonlinear vibration, which directly affects the stability of the unloading system and the motion state of granules. According to the mechanical constitutive relation, the coupled suspension–tire model with nonlinear ordinary differential equations is established and the kinematic equations of granules are derived. Furthermore, the amplitude–frequency responses of the coupled system and force transmissibility are obtained by the incremental harmonic balance method (IHBM) with high-order approximation, and then the flow characteristics of granular materials are investigated based on the approximate analytic solution under nonlinear vibration. The theoretical analysis and numerical simulation show that the coupled suspension–tire system presents a softening nonlinear feature and the peaks are significantly smaller than that of the linear system, which further affects the motion rules of granular materials. As a result, different sliding states and flow paths are observed under the same operating conditions. This research not only shows the unloading mechanism and vibration transmission characteristics between the continuum structure and granular material but also theoretically explains the control mechanism of the coupled continuum–granular system. The research is instructive in improving the unloading efficiency of granules in practical engineering.

Suggested Citation

  • Shihua Zhou & Yue Wang & Kaibo Ji & Xuan Li & Yu Chen & Zhaohui Ren, 2024. "The Nonlinear Dynamic Response and Vibration Transmission Characteristics of an Unloading System with Granular Materials," Mathematics, MDPI, vol. 12(24), pages 1-21, December.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:3888-:d:1540602
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/24/3888/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/24/3888/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wei, Chongfeng & Taghavifar, Hamid, 2017. "A novel approach to energy harvesting from vehicle suspension system: Half-vehicle model," Energy, Elsevier, vol. 134(C), pages 279-288.
    2. Litak, G. & Borowiec, M. & Ali, M. & Saha, L.M. & Friswell, M.I., 2007. "Pulsive feedback control of a quarter car model forced by a road profile," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1672-1676.
    3. Li, Yingli & Xu, Daolin & Fu, Yiming & Zhou, Jiaxi, 2012. "Nonlinear dynamic analysis of 2-DOF nonlinear vibration isolation floating raft systems with feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1092-1099.
    4. Luo, Rongkang & Yu, Zhihao & Wu, Peibao & Hou, Zhichao, 2023. "Analytical solutions of the energy harvesting potential from vehicle vertical vibration based on statistical energy conservation," Energy, Elsevier, vol. 264(C).
    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. Lafarge, Barbara & Grondel, Sébastien & Delebarre, Christophe & Curea, Octavian & Richard, Claude, 2021. "Linear electromagnetic energy harvester system embedded on a vehicle suspension: From modeling to performance analysis," Energy, Elsevier, vol. 225(C).
    2. Carlos Gijón-Rivera & José Luis Olazagoitia, 2020. "Methodology for Comprehensive Comparison of Energy Harvesting Shock Absorber Systems," Energies, MDPI, vol. 13(22), pages 1-25, November.
    3. Abdelkareem, Mohamed A.A. & Xu, Lin & Ali, Mohamed Kamal Ahmed & El-Daly, Abdel-Rahman B.M. & Hassan, Mohamed A. & Elagouz, Ahmed & Bo, Yang, 2019. "Analysis of the prospective vibrational energy harvesting of heavy-duty truck suspensions: A simulation approach," Energy, Elsevier, vol. 173(C), pages 332-351.
    4. Luo, Rongkang & Yu, Zhihao & Wu, Peibao & Hou, Zhichao, 2023. "Analytical solutions of the energy harvesting potential from vehicle vertical vibration based on statistical energy conservation," Energy, Elsevier, vol. 264(C).
    5. Chen, Shi-An & Jiang, Xu-Dong & Yao, Ming & Jiang, Shun-Ming & Chen, Jinzhou & Wang, Ya-Xiong, 2020. "A dual vibration reduction structure-based self-powered active suspension system with PMSM-ball screw actuator via an improved H2/H∞ control," Energy, Elsevier, vol. 201(C).
    6. Doaa Al-Yafeai & Tariq Darabseh & Abdel-Hamid I. Mourad, 2020. "A State-Of-The-Art Review of Car Suspension-Based Piezoelectric Energy Harvesting Systems," Energies, MDPI, vol. 13(9), pages 1-39, May.
    7. Zhang, Ran & Zhao, Liya & Qiu, Xiaojun & Zhang, Hui & Wang, Xu, 2020. "A comprehensive comparison of the vehicle vibration energy harvesting abilities of the regenerative shock absorbers predicted by the quarter, half and full vehicle suspension system models," Applied Energy, Elsevier, vol. 272(C).
    8. Morangueira, Yuri L.A. & Pereira, José Carlos de C., 2020. "Energy harvesting assessment with a coupled full car and piezoelectric model," Energy, Elsevier, vol. 210(C).
    9. Watanabe, Masahisa & Prasad, Awadhesh & Sakai, Kenshi, 2024. "Delayed feedback active suspension control for chaos in quarter car model with jumping nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    10. Turkmen, Anil Can & Celik, Cenk, 2018. "Energy harvesting with the piezoelectric material integrated shoe," Energy, Elsevier, vol. 150(C), pages 556-564.
    11. Gao, Zepeng & Chen, Sizhong & Zhao, Yuzhuang & Liu, Zheng, 2019. "Numerical evaluation of compatibility between comfort and energy recovery based on energy flow mechanism inside electromagnetic active suspension," Energy, Elsevier, vol. 170(C), pages 521-536.
    12. Wang, Feng & Sun, Xiuting & Xu, Jian, 2018. "A novel energy harvesting device for ultralow frequency excitation," Energy, Elsevier, vol. 151(C), pages 250-260.
    13. Zou, Hong-Xiang & Zhu, Quan-Wei & He, Jia-Yi & Zhao, Lin-Chuan & Wei, Ke-Xiang & Zhang, Wen-Ming & Du, Rong-Hua & Liu, Sheng, 2024. "Energy harvesting floor using sustained-release regulation mechanism for self-powered traffic management," Applied Energy, Elsevier, vol. 353(PA).
    14. Sani, Godwin & Balaram, Bipin & Kudra, Grzegorz & Awrejcewicz, Jan, 2024. "Energy harvesting from friction-induced vibrations in vehicle braking systems in the presence of rotary unbalances," Energy, Elsevier, vol. 289(C).
    15. Li, Shiying & Xu, Jun & Gao, Haonan & Tao, Tao & Mei, Xuesong, 2020. "Safety probability based multi-objective optimization of energy-harvesting suspension system," Energy, Elsevier, vol. 209(C).
    16. Xu, Jun & Wang, Haitao & Shi, Hu & Mei, Xuesong, 2020. "Multi-scale short circuit resistance estimation method for series connected battery strings," Energy, Elsevier, vol. 202(C).
    17. Qi, Lingfei & Song, Juhuang & Wang, Yuan & Yi, Minyi & Zhang, Zutao & Yan, Jinyue, 2024. "Mechanical motion rectification-based electromagnetic vibration energy harvesting technology: A review," Energy, Elsevier, vol. 289(C).
    18. Ghodsi, Mojtaba & Ziaiefar, Hamidreza & Mohammadzaheri, Morteza & Al-Yahmedi, Amur, 2019. "Modeling and characterization of permendur cantilever beam for energy harvesting," Energy, Elsevier, vol. 176(C), pages 561-569.
    19. Litak, Grzegorz & Borowiec, Marek & Friswell, Michael I. & Przystupa, Wojciech, 2009. "Chaotic response of a quarter car model forced by a road profile with a stochastic component," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2448-2456.
    20. Xueying Lv & Yanju Ji & Huanyu Zhao & Jiabao Zhang & Guanyu Zhang & Liu Zhang, 2020. "Research Review of a Vehicle Energy-Regenerative Suspension System," Energies, MDPI, vol. 13(2), pages 1-14, January.

    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:gam:jmathe:v:12:y:2024:i:24:p:3888-:d:1540602. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.