IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i9p1531-d807796.html
   My bibliography  Save this article

Static and Dynamic Stability of Carbon Fiber Reinforced Polymer Cylindrical Shell Subject to Non-Normal Boundary Condition with One Generatrix Clamped

Author

Listed:
  • Shaowu Yang

    (College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, China)

  • Yuxin Hao

    (College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, China)

  • Wei Zhang

    (Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China)

  • Lingtao Liu

    (College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, China)

  • Wensai Ma

    (Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China)

Abstract

In this paper, static and dynamic stability analyses taking axial excitation into account are presented for a laminated carbon fiber reinforced polymer (CFRP) cylindrical shell under a non-normal boundary condition. The non-normal boundary condition is put forward to signify that both ends of the cylindrical shell are free and one generatrix of the shell is clamped. The partial differential motion governing the equations of the laminated CFRP cylindrical shell with a non-normal boundary condition is derived using the Hamilton principle, nonlinear von-Karman relationships and first-order deformation shell theory. Then, nonlinear, two-freedom, ordinary differential equations on the radial displacement of the cylindrical shell are obtained utilizing Galerkin method. The Newton-Raphson method is applied to numerically solve the equilibrium point. The stability of the equilibrium point is determined by analyzing the eigenvalue of the Jacobian matrix. The solution of the Mathieu equation describes the dynamic unstable behavior of the CFRP laminated cylindrical shells. The unstable regions are determined using the Bolotin method. The influences of the radial line load, the ratio of radius to thickness, the ratio of length to thickness, the number of layers and the temperature field of the laminated CFRP cylindrical shell on static and dynamic stability are investigated.

Suggested Citation

  • Shaowu Yang & Yuxin Hao & Wei Zhang & Lingtao Liu & Wensai Ma, 2022. "Static and Dynamic Stability of Carbon Fiber Reinforced Polymer Cylindrical Shell Subject to Non-Normal Boundary Condition with One Generatrix Clamped," Mathematics, MDPI, vol. 10(9), pages 1-25, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1531-:d:807796
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/9/1531/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/9/1531/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Gamal S. Abdelhaffez & Ahmed Amine Daikh & Hussein A. Saleem & Mohamed A. Eltaher, 2023. "Buckling of Coated Functionally Graded Spherical Nanoshells Rested on Orthotropic Elastic Medium," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
    2. Yan Liu & Wensai Ma, 2023. "Nonlinear Oscillations of a Composite Stepped Piezoelectric Cantilever Plate with Aerodynamic Force and External Excitation," Mathematics, MDPI, vol. 11(13), pages 1-30, July.

    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:gam:jmathe:v:10:y:2022:i:9:p:1531-:d:807796. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.