IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v174y2020icp183-204.html
   My bibliography  Save this article

Dynamic large deformation analysis of a cantilever beam

Author

Listed:
  • Wei, H.
  • Pan, Q.X.
  • Adetoro, O.B.
  • Avital, E.
  • Yuan, Y.
  • Wen, P.H.

Abstract

A static and dynamic large deformation analysis of a tapered beam subjected to concentrated and distributed loads is presented in this paper by using a direct integration technique. The bending stiffness of the beam is coordinate dependent. The nonlinear differential equation is numerically solved using an iterative technique without an algebraic equation solver, thus the computational effort can be reduced. A concentrated mass fixed at the free end and suddenly released is studied, and the time-dependent displacements are presented. Comparison has been made with solutions obtained using Finite Element Analysis and excellent agreement is achieved.

Suggested Citation

  • Wei, H. & Pan, Q.X. & Adetoro, O.B. & Avital, E. & Yuan, Y. & Wen, P.H., 2020. "Dynamic large deformation analysis of a cantilever beam," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 183-204.
    • Handle: RePEc:eee:matcom:v:174:y:2020:i:c:p:183-204
    DOI: 10.1016/j.matcom.2020.02.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475420300616
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2020.02.022?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. Yun, D.F. & Wen, Z.H. & Hon, Y.C., 2015. "Adaptive least squares finite integration method for higher-dimensional singular perturbation problems with multiple boundary layers," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 232-250.
    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. Shi, C.Z. & Zheng, H. & Hon, Y.C. & Wen, P.H., 2024. "Generalized finite integration method for 2D elastostatic and elastodynamic analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 580-594.
    2. Soradi-Zeid, Samaneh & Mesrizadeh, Mehdi, 2023. "On the convergence of finite integration method for system of ordinary differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Ampol Duangpan & Ratinan Boonklurb & Tawikan Treeyaprasert, 2019. "Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations," Mathematics, MDPI, vol. 7(12), pages 1-24, 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:matcom:v:174:y:2020:i:c:p:183-204. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.