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

Hakan Ersoy,Şeref Akbaş,Ömer Civalek,Bekir Akgöz

doi:10.3390/math9091048

Hakan Ersoy, Şeref Akbaş + Show 2 more

Open Access

https://doi.org/10.3390/math9091048

Copy DOI

Journal: Mathematics	Publication Date: May 6, 2021
Citations: 81	License type: CC BY 4.0

Affiliation: Akdeniz University, Bursa Technical University

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.

Highlights

Division of Mechanics, Department of Mechanical Engineering, Akdeniz University, 07058 Antalya, Turkey; Division of Mechanics, Department of Civil Engineering, Akdeniz University, 07058 Antalya, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Abstract: This paper presents the dynamic responses of a fiber-reinforced composite beam under a moving load
The maximum dimensionless dynamic displacements at midspan of the Fiber-reinforced composite (FRC) beam under a moving load were calculated for Vf = 0.3, θ = 10◦, VQ = 10 m/s
A dynamic analysis of an FRC supported beam under a moving load was carried out based on the Timoshenko beam theory by using the Ritz method

Summary

Introduction

Division of Mechanics, Department of Mechanical Engineering, Akdeniz University, 07058 Antalya, Turkey; Division of Mechanics, Department of Civil Engineering, Akdeniz University, 07058 Antalya, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Abstract: This paper presents the dynamic responses of a fiber-reinforced composite beam under a moving load. 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. They are exceedingly good conductors of electricity and heat. Steel and concrete maintain their individual characteristics in the resulting composite structure.

Methods

Results

Conclusion