Structural analysis and numerical simulation of composite beam subjected to a harmonic moving load on Pasternak viscoelastic foundation

Subject Areas : Vibration Absorbtion

Mohamad Javad  Rezvani ¹ (استادیار، مرکز تحقیقات انرژی و توسعه پایدار، واحد سمنان، دانشگاه آزاد اسلامی، سمنان، ایران)
Roholah  Rezaie ² (دانشجو ارشد در شرف فراغت از تحصیل)

Received: 2015-12-19 Accepted : 2016-02-23 Published : 2016-02-20

Keywords: Numerical simulation, FSDT, Composite beam, Harmonic moving load, Pasternak viscoelastic foundation,

Abstract :

In this paper, dynamic response of an infinite Timoshenko beam subjected to a harmonic moving load based on the first order shear deformation theory (FSDT) is studied. The beam made of a symmetric laminated composite that is located on a generalized Pasternak viscoelastic foundation. It is assumed that the mechanical properties of the beam change in the direction of the beam thickness but remain constant in the axial direction. By selection of an appropriate displacement field for the composite beam, and using the principle of total minimum potential energy, the governing partial differential equations of motion are obtained and solved through a complex infinite Fourier transformation method. In this study, by using numerical simulation, the effects of stiffness, damping and shear layer viscosity coefficient of foundation, velocity and frequency of the moving load over the beam response are studied. Then, the numerical simulation results for deflection, shear force and bending stress are abtained. The results show that, when the normal stiffness, shear layer viscosity coefficient, velocity and frequency of the moving load increases, the deflection, shear force and bending stress of the composite beam decreases. The results obtained from the FSDT are compared with the results of a finite element and good agreement is found. Therefore, the dynamic responses of the composite beam under moving load can be found with high accuracy by using the finite element method.