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Dynamic Analysis of a Fiber-Reinforced Composite Beam under a Moving Load by the Ritz Method

Author

Listed:
  • Şeref D. Akbaş

    (Department of Civil Engineering, Bursa Technical University, 16310 Bursa, Turkey)

  • Hakan Ersoy

    (Division of Mechanics, Department of Mechanical Engineering, Akdeniz University, 07058 Antalya, Turkey)

  • Bekir Akgöz

    (Division of Mechanics, Department of Civil Engineering, Akdeniz University, 07058 Antalya, Turkey)

  • Ömer Civalek

    (Division of Mechanics, Department of Civil Engineering, Akdeniz University, 07058 Antalya, Turkey
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan)

Abstract

This paper presents the dynamic responses of a fiber-reinforced composite beam under a moving load. The Timoshenko beam theory was employed to analyze the kinematics of the composite beam. The constitutive equations for motion were obtained by utilizing the Lagrange procedure. The Ritz method with polynomial functions was employed to solve the resulting equations in conjunction with the Newmark average acceleration method (NAAM). The influence of fiber orientation angle, volume fraction, and velocity of the moving load on the dynamic responses of the fiber-reinforced nonhomogeneous beam is presented and discussed.

Suggested Citation

  • Şeref D. Akbaş & Hakan Ersoy & Bekir Akgöz & Ömer Civalek, 2021. "Dynamic Analysis of a Fiber-Reinforced Composite Beam under a Moving Load by the Ritz Method," Mathematics, MDPI, vol. 9(9), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:1048-:d:549549
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    Cited by:

    1. Babaei, Hadi, 2022. "Free vibration and snap-through instability of FG-CNTRC shallow arches supported on nonlinear elastic foundation," Applied Mathematics and Computation, Elsevier, vol. 413(C).

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