IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v14y2023i1d10.1038_s41467-022-35685-5.html
   My bibliography  Save this article

Controllable branching of robust response patterns in nonlinear mechanical resonators

Author

Listed:
  • Axel M. Eriksson

    (Chalmers University of Technology)

  • Oriel Shoshani

    (Ben-Gurion University of the Negev)

  • Daniel López

    (Materials Research Institute, Penn State University)

  • Steven W. Shaw

    (Florida Institute of Technology
    Michigan State University)

  • David A. Czaplewski

    (Center for Nanoscale Materials, Argonne National Laboratory)

Abstract

In lieu of continuous time active feedback control in complex systems, nonlinear dynamics offers a means to generate desired long-term responses using short-time control signals. This type of control has been proposed for use in resonators that exhibit a plethora of complex dynamic behaviors resulting from energy exchange between modes. However, the dynamic response and, ultimately, the ability to control the response of these systems remains poorly understood. Here, we show that a micromechanical resonator can generate diverse, robust dynamical responses that occur on a timescale five orders of magnitude larger than the external harmonic driving and these responses can be selected by inserting small pulses at specific branching points. We develop a theoretical model and experimentally show the ability to control these response patterns. Hence, these mechanical resonators may represent a simple physical platform for the development of springboard concepts for nonlinear, flexible, yet robust dynamics found in other areas of physics, chemistry, and biology.

Suggested Citation

  • Axel M. Eriksson & Oriel Shoshani & Daniel López & Steven W. Shaw & David A. Czaplewski, 2023. "Controllable branching of robust response patterns in nonlinear mechanical resonators," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-022-35685-5
    DOI: 10.1038/s41467-022-35685-5
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-35685-5
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-022-35685-5?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
    ---><---

    References listed on IDEAS

    as
    1. Daniela Rus & Michael T. Tolley, 2015. "Design, fabrication and control of soft robots," Nature, Nature, vol. 521(7553), pages 467-475, May.
    2. Dario Antonio & Damián H. Zanette & Daniel López, 2012. "Frequency stabilization in nonlinear micromechanical oscillators," Nature Communications, Nature, vol. 3(1), pages 1-6, January.
    3. Peter Ashwin & Marc Timme, 2005. "When instability makes sense," Nature, Nature, vol. 436(7047), pages 36-37, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xin Zhou & Xingjing Ren & Dingbang Xiao & Jianqi Zhang & Ran Huang & Zhipeng Li & Xiaopeng Sun & Xuezhong Wu & Cheng-Wei Qiu & Franco Nori & Hui Jing, 2023. "Higher-order singularities in phase-tracked electromechanical oscillators," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

    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. Shijing Zhang & Yingxiang Liu & Jie Deng & Xiang Gao & Jing Li & Weiyi Wang & Mingxin Xun & Xuefeng Ma & Qingbing Chang & Junkao Liu & Weishan Chen & Jie Zhao, 2023. "Piezo robotic hand for motion manipulation from micro to macro," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    2. Amir Souhail & Passakorn vassakosol, 2018. "Low Cost Soft Robotic Grippers For Reliable Grasping," Journal of Mechanical Engineering Research & Developments (JMERD), Zibeline International Publishing, vol. 41(4), pages 88-95, November.
    3. Tobias Wand & Martin He{ss}ler & Oliver Kamps, 2022. "Identifying Dominant Industrial Sectors in Market States of the S&P 500 Financial Data," Papers 2208.14106, arXiv.org, revised Mar 2023.
    4. Jiang, Dongyue & Xu, Minyi & Dong, Ming & Guo, Fei & Liu, Xiaohua & Chen, Guijun & Wang, Zhong Lin, 2019. "Water-solid triboelectric nanogenerators: An alternative means for harvesting hydropower," Renewable and Sustainable Energy Reviews, Elsevier, vol. 115(C).
    5. Federico Pratissoli & Andreagiovanni Reina & Yuri Kaszubowski Lopes & Carlo Pinciroli & Genki Miyauchi & Lorenzo Sabattini & Roderich Groß, 2023. "Coherent movement of error-prone individuals through mechanical coupling," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    6. Hanqi Zhao & Jian Wang & Yang Liu & Zhifan Chen & Jingqi Wang & Lin Chen, 2024. "Quality and Testing of Red Pepper Soft Picking Manipulator Based on RD-DEM Coupling," Agriculture, MDPI, vol. 14(8), pages 1-18, August.
    7. Hayato Saigo & Makoto Naruse & Kazuya Okamura & Hirokazu Hori & Izumi Ojima, 2019. "Analysis of Soft Robotics Based on the Concept of Category of Mobility," Complexity, Hindawi, vol. 2019, pages 1-12, March.
    8. Jean Chenevier & David González & J Vicente Aguado & Francisco Chinesta & Elías Cueto, 2018. "Reduced-order modeling of soft robots," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-15, February.
    9. Van Hiep Nguyen & Saewoong Oh & Manmatha Mahato & Rassoul Tabassian & Hyunjoon Yoo & Seong-Gyu Lee & Mousumi Garai & Kwang Jin Kim & Il-Kwon Oh, 2024. "Functionally antagonistic polyelectrolyte for electro-ionic soft actuator," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    10. Ruzziconi, Laura & Hajjaj, Amal Z., 2023. "Multiple internal resonance couplings and quasi-periodicity patterns in hybrid-shaped micromachined resonators," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    11. Gyeongji Kang & Young-Joo Kim & Sung-Jin Lee & Se Kwon Kim & Dae-Young Lee & Kahye Song, 2023. "Grasping through dynamic weaving with entangled closed loops," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    12. Shibo Zou & Sergio Picella & Jelle Vries & Vera G. Kortman & Aimée Sakes & Johannes T. B. Overvelde, 2024. "A retrofit sensing strategy for soft fluidic robots," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    13. Chin Leong Lim, 2020. "Fundamental Concepts of Human Thermoregulation and Adaptation to Heat: A Review in the Context of Global Warming," IJERPH, MDPI, vol. 17(21), pages 1-34, October.
    14. Guorui Li & Tuck-Whye Wong & Benjamin Shih & Chunyu Guo & Luwen Wang & Jiaqi Liu & Tao Wang & Xiaobo Liu & Jiayao Yan & Baosheng Wu & Fajun Yu & Yunsai Chen & Yiming Liang & Yaoting Xue & Chengjun Wan, 2023. "Bioinspired soft robots for deep-sea exploration," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    15. Rasool Nasseri & Negin Bouzari & Junting Huang & Hossein Golzar & Sarah Jankhani & Xiaowu (Shirley) Tang & Tizazu H. Mekonnen & Amirreza Aghakhani & Hamed Shahsavan, 2023. "Programmable nanocomposites of cellulose nanocrystals and zwitterionic hydrogels for soft robotics," Nature Communications, Nature, vol. 14(1), pages 1-15, December.
    16. Donghwan Ji & Jae Min Park & Myeong Seon Oh & Thanh Loc Nguyen & Hyunsu Shin & Jae Seong Kim & Dukjoon Kim & Ho Seok Park & Jaeyun Kim, 2022. "Superstrong, superstiff, and conductive alginate hydrogels," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    17. Haitao Yang & Shuo Ding & Jiahao Wang & Shuo Sun & Ruphan Swaminathan & Serene Wen Ling Ng & Xinglong Pan & Ghim Wei Ho, 2024. "Computational design of ultra-robust strain sensors for soft robot perception and autonomy," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    18. Alexander Maye & Chih-hao Hsieh & George Sugihara & Björn Brembs, 2007. "Order in Spontaneous Behavior," PLOS ONE, Public Library of Science, vol. 2(5), pages 1-14, May.
    19. Wenbo Li & Huyue Chen & Zhiran Yi & Fuyi Fang & Xinyu Guo & Zhiyuan Wu & Qiuhua Gao & Lei Shao & Jian Xu & Guang Meng & Wenming Zhang, 2023. "Self-vectoring electromagnetic soft robots with high operational dimensionality," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    20. Xuesong Yang & Linfeng Lan & Xiuhong Pan & Qi Di & Xiaokong Liu & Liang Li & Panče Naumov & Hongyu Zhang, 2023. "Bioinspired soft robots based on organic polymer-crystal hybrid materials with response to temperature and humidity," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    More about this item

    Statistics

    Access and download statistics

    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:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-022-35685-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.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.