IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v356y2019icp272-281.html
   My bibliography  Save this article

Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment

Author

Listed:
  • Yu, Jianwu
  • Luo, Hong
  • Hu, Junzhi
  • Nguyen, Thai Vinh
  • Lu, Yuetuo

Abstract

Mathematical defects of general cam curves such as high-order discontinuity and overlarge peak values often bring excessive transmission errors and vibrations to high-speed cam-follower systems. A comprehensive method is proposed in this study to develop high-speed cam curves with preferable mathematical characteristics. A high-order differential interpolation curve is first constructed by using nodal basis functions to accurately match with the multi-order derivatives on multiple nodes. A flexible cam curve is then reconstructed by adding variable shape factors on critical nodes for further shape adjustments. Numerical cases indicate that the proposed method can not only help construct a faithful cam curve satisfying all the given constraints for displacement, velocity, acceleration and jerk, but also effectively reconstruct a high-order continuous cam curve with lower peak values for high-speed precision cam mechanisms. The proposed method has been demonstrated to be effective and applicable in user-oriented reverse design, modification, and optimization of high-speed cam curves.

Suggested Citation

  • Yu, Jianwu & Luo, Hong & Hu, Junzhi & Nguyen, Thai Vinh & Lu, Yuetuo, 2019. "Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 272-281.
    • Handle: RePEc:eee:apmaco:v:356:y:2019:i:c:p:272-281
    DOI: 10.1016/j.amc.2019.03.049
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319302565
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.03.049?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. Lamnii, A. & Lamnii, M. & Oumellal, F., 2016. "A new basis for osculatory interpolation problems and applications," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 355-368.
    2. Esmaili, Masoud & Amjady, Nima & Shayanfar, Heidar Ali, 2011. "Multi-objective congestion management by modified augmented [epsilon]-constraint method," Applied Energy, Elsevier, vol. 88(3), pages 755-766, March.
    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. Yu, Jianwu & Huang, Kaifeng & Luo, Hong & Wu, Yao & Long, Xiaobing, 2020. "Manipulate optimal high-order motion parameters to construct high-speed cam curve with optimized dynamic performance," Applied Mathematics and Computation, Elsevier, vol. 371(C).

    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. Yılmaz Balaman, Şebnem & Scott, James & Matopoulos, Aristides & Wright, Daniel G., 2019. "Incentivising bioenergy production: Economic and environmental insights from a regional optimization methodology," Renewable Energy, Elsevier, vol. 130(C), pages 867-880.
    2. Han, Bing & Zhang, Ying & Wang, Song & Park, Yongshin, 2023. "The efficient and stable planning for interrupted supply chain with dual‐sourcing strategy: a robust optimization approach considering decision maker's risk attitude," Omega, Elsevier, vol. 115(C).
    3. Hosseini, Seyyed Ahmad & Amjady, Nima & Shafie-khah, Miadreza & Catalão, João P.S., 2016. "A new multi-objective solution approach to solve transmission congestion management problem of energy markets," Applied Energy, Elsevier, vol. 165(C), pages 462-471.
    4. Sahebjamnia, Navid & Torabi, S. Ali & Mansouri, S. Afshin, 2018. "Building organizational resilience in the face of multiple disruptions," International Journal of Production Economics, Elsevier, vol. 197(C), pages 63-83.
    5. Yu, Jianwu & Huang, Kaifeng & Luo, Hong & Wu, Yao & Long, Xiaobing, 2020. "Manipulate optimal high-order motion parameters to construct high-speed cam curve with optimized dynamic performance," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    6. Tofighi, S. & Torabi, S.A. & Mansouri, S.A., 2016. "Humanitarian logistics network design under mixed uncertainty," European Journal of Operational Research, Elsevier, vol. 250(1), pages 239-250.
    7. Esmaili, Masoud & Ebadi, Fatemeh & Shayanfar, Heidar Ali & Jadid, Shahram, 2013. "Congestion management in hybrid power markets using modified Benders decomposition," Applied Energy, Elsevier, vol. 102(C), pages 1004-1012.
    8. Xin Wen & Qiong Chen & Yu-Qi Yin & Yui-yip Lau, 2023. "Green Vessel Scheduling with Weather Impact and Emission Control Area Consideration," Mathematics, MDPI, vol. 11(24), pages 1-25, December.

    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:apmaco:v:356:y:2019:i:c:p:272-281. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.