Numerical Analysis of Inclined Flexible Beam Carrying One Degree of Freedom Moving Mass Including Centrifugal and Coriolis Accelerations and Rotary Inertia Effects

Abstract

A numerical procedure is proposed in this paper to study the response of an inclined beam subjected to sprung mass. The first-order shear deformation theory (FSDT) including rotary inertia is assumed for the beam element. The effects of inertial force as well as Coriolis and centrifugal forces induced by the moving sprung mass are considered in governing equations. The Newmark time integration method is adopted in solving equations. In this paper, the horizontal and vertical deformations of the beam, along with the Coriolis force and the inclined angle are investigated. The moving system is considered as a one degree of freedom system including two masses located at the ends of the moving load system, one spring and viscous damping. The effects of spring constant and damper ratio on the dynamic magnification factor (DMF) of the inclined beam are also studied. The results obtained from the present study show that the Coriolis force in lower speed has significant influence on the dynamic response of the beam.

Keywords:

• Beam theory
• Coriolis acceleration
• Moving mass
• Numerical modeling

Notes

^#Communicated by M. Amabili.