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

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      Mathematics
      MDPI AG

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          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.

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          Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams

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            Nonlocal continuum theories of beams for the analysis of carbon nanotubes

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              Mechanical analysis of functionally graded carbon nanotube reinforced composites: A review

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                Author and article information

                Contributors
                Journal
                Mathematics
                Mathematics
                MDPI AG
                2227-7390
                May 2021
                May 06 2021
                : 9
                : 9
                : 1048
                Article
                10.3390/math9091048
                3ca07bb9-0f55-49db-ae97-0207225a2362
                © 2021

                https://creativecommons.org/licenses/by/4.0/

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