IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v439y2023ics0096300322007135.html
   My bibliography  Save this article

A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation

Author

Listed:
  • Yu, Qiang

Abstract

A novel homotopy-based decoupled wavelet numerical strategy is developed to investigate the large-deflection bending of variable-thickness anisotropic thin plate constituted by heterogeneous material resting on orthotropic foundation. The anisotropic plates are described undergoing sinusoidally initial imperfections with inhomogeneous thickness and exponentially varying elastic modules, while the subgrade reaction involves the nonlinear support effects by Winkler-type foundation along with Pasternak-type orthotropy. Geometric nonlinearity by uneven thickness and large deformation, material nonlinearity by heterogeneity and contact nonlinearity of orthotropic foundation are simultaneously considered with the highly coupled and strongly nonlinear variable-coefficient Von Kármán equations derived. The accuracy and convergence of the present formulation are validated in excellent agreement with published results, while the new results of extreme bending solutions are provided, which are few given by other methods and further verify the effectiveness and superiority of proposed wavelet procedures. Parametric investigations of influences of material orthotropy and inhomogeneity, unevenness of thickness, amplitude of initial imperfection along with orthotropy of nonlinear Winkler–Pasternak foundation have been studied, which are of great significance on the extremely large bending properties.

Suggested Citation

  • Yu, Qiang, 2023. "A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation," Applied Mathematics and Computation, Elsevier, vol. 439(C).
  • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322007135
    DOI: 10.1016/j.amc.2022.127641
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322007135
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2022.127641?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. Yu, Qiang, 2021. "A decoupled wavelet approach for multiple physical flow fields of binary nanofluid in double-diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Vasile V. Moca & Harald Bârzan & Adriana Nagy-Dăbâcan & Raul C. Mureșan, 2021. "Time-frequency super-resolution with superlets," Nature Communications, Nature, vol. 12(1), pages 1-18, December.
    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. Johan Liljefors & Rita Almeida & Gustaf Rane & Johan N. Lundström & Pawel Herman & Mikael Lundqvist, 2024. "Distinct functions for beta and alpha bursts in gating of human working memory," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    2. Andjelka B. Kovačević & Aleksandra Nina & Luka Č. Popović & Milan Radovanović, 2022. "Two-Dimensional Correlation Analysis of Periodicity in Noisy Series: Case of VLF Signal Amplitude Variations in the Time Vicinity of an Earthquake," Mathematics, MDPI, vol. 10(22), pages 1-14, November.
    3. Woojoong Kim & Munsu Lee & Sang-Jun Park & Sung-Hyun Jang & Byeong-Su Kang & Namjin Kim & Young-Sun Hong, 2022. "An Early Fault Diagnosis Method for Ball Bearings of Electric Vehicles Based on Integrated Subband Averaging and Enhanced Kurtogram Method," Energies, MDPI, vol. 15(15), pages 1-13, July.
    4. Haoxin Zhang & Ivan Skelin & Shiting Ma & Michelle Paff & Lilit Mnatsakanyan & Michael A. Yassa & Robert T. Knight & Jack J. Lin, 2024. "Awake ripples enhance emotional memory encoding in the human brain," Nature Communications, Nature, vol. 15(1), pages 1-13, 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:439:y:2023:i:c:s0096300322007135. 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.