IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v400y2021ics0096300321001211.html
   My bibliography  Save this article

A meshless Hermite weighted least-square method for piezoelectric structures

Author

Listed:
  • Ma, Xiao
  • Zhou, Bo
  • Xue, Shifeng

Abstract

In this paper, a meshless Hermite weighted least-square method is developed to improve the accuracy and stability of the numerical analysis for piezoelectric structures. The basic equations of the piezoelectric structures including the constitutive equation, geometric equations, equilibrium equations and boundary conditions are introduced. The approximate function of the Hermite weighted least-square method is constructed through the Hermite approximation method and weighted least-square method. The collocation method is utilized to derive the discrete equation of the Hermite weighted least-square method for the piezoelectric structures. Furthermore, the influences of the scale parameter and node number on the calculation accuracy of the present method are discussed, and the effectiveness of the present method for analyzing the piezoelectric structures is demonstrated by some numerical examples. The numerical results show that the Hermite weighted least-square method can effectively analyze the piezoelectric structures with various boundary conditions, and has excellent convergence and calculation accuracy.

Suggested Citation

  • Ma, Xiao & Zhou, Bo & Xue, Shifeng, 2021. "A meshless Hermite weighted least-square method for piezoelectric structures," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    • Handle: RePEc:eee:apmaco:v:400:y:2021:i:c:s0096300321001211
    DOI: 10.1016/j.amc.2021.126073
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321001211
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126073?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. Dai, Baodong & Wei, Dandan & Ren, Hongping & Zhang, Zhu, 2017. "The complex variable meshless local Petrov–Galerkin method for elastodynamic analysis of functionally graded materials," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 17-26.
    2. Salazar, R. & Serrano, M. & Abdelkefi, A., 2020. "Fatigue in piezoelectric ceramic vibrational energy harvesting: A review," Applied Energy, Elsevier, vol. 270(C).
    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. Sun, Fengxin & Wang, Jufeng & Xu, Ying, 2024. "An improved stabilized element-free Galerkin method for solving steady Stokes flow problems," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    2. Ma, Xiao & Zhou, Bo & Xue, Shifeng, 2022. "A Hermite interpolation element-free Galerkin method for functionally graded structures," Applied Mathematics and Computation, Elsevier, vol. 419(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. Xian, Tongrui & Xu, Yifei & Chen, Chen & Luo, Xiaohui & Zhao, Haixia & Zhang, Yongtao & Shi, Weijie, 2024. "Experimental and theory study on a stacked piezoelectric energy harvester for pressure pulsation in water hydraulic system," Renewable Energy, Elsevier, vol. 225(C).
    2. Fang, Zheng & Tan, Xing & Liu, Genshuo & Zhou, Zijie & Pan, Yajia & Ahmed, Ammar & Zhang, Zutao, 2022. "A novel vibration energy harvesting system integrated with an inertial pendulum for zero-energy sensor applications in freight trains," Applied Energy, Elsevier, vol. 318(C).
    3. Liu, Zheng & Wei, Gaofeng & Qin, Shaopeng & Wang, Zhiming, 2022. "The elastoplastic analysis of functionally graded materials using a meshfree RRKPM," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    4. Ma, Xiao & Zhou, Bo & Xue, Shifeng, 2022. "A Hermite interpolation element-free Galerkin method for functionally graded structures," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    5. Chengcheng Fu & Cheng Gao & Weifang Zhang, 2024. "RUL Prediction for Piezoelectric Vibration Sensors Based on Digital-Twin and LSTM Network," Mathematics, MDPI, vol. 12(8), pages 1-27, April.
    6. Ryan Salazar & Ryan Quintana & Abdessattar Abdelkefi, 2021. "Role of Electromechanical Coupling, Locomotion Type and Damping on the Effectiveness of Fish-Like Robot Energy Harvesters," Energies, MDPI, vol. 14(3), pages 1-32, January.
    7. Jiang, Wei-Wu & Gao, Xiao-Wei & Xu, Bing-Bing & Lv, Jun, 2023. "Static and forced vibration analysis of layered piezoelectric functionally graded structures based on element differential method," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    8. Manuel Serrano & Kevin Larkin & Sergei Tretiak & Abdessattar Abdelkefi, 2023. "Piezoelectric Energy Harvesting Gyroscopes: Comparative Modeling and Effectiveness," Energies, MDPI, vol. 16(4), pages 1-21, February.

    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:400:y:2021:i:c:s0096300321001211. 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.