Title: Coriolis and centrifugal effect of moving distributed mass on vibration of inclined beams

Authors: Esmaeil Bahmyari

Addresses: Department of Mechanical Engineering, Persian Gulf University, 75168, Bushehr, Iran

Abstract: The vibration of beams carrying uniform moving distributed masses is investigated in this paper. A finite element (FEM) based on the first shear deformation theory (FSDT) is assumed for the beam model. A ten degree of freedom beam element for the FSDT theory is considered. Combination of the element property matrices for moving mass and the associated overall property matrices for the beam determines the overall effective property matrices of the entire system. The equations of motion are integrated by applying the Newmark's procedures to obtain the system responses. The numerical results of vibration of beams are presented and, whenever possible, compared to the available results in order to demonstrate the accuracy of the present method. Effect of the Coriolis and centrifugal forces induced by the moving distributed mass are investigated. Numerical results reveal that all above mentioned parameters have significant influence on dynamic responses of inclined beams.

Keywords: moving distributed mass; Coriolis force; centrifugal force; inclined beams; first order shear deformation theory; heaviside function; finite element method; FEM; Newmark's time integration; 10-dof linear beam element; beam vibration; modelling.

DOI: 10.1504/IJVNV.2014.064248

International Journal of Vehicle Noise and Vibration, 2014 Vol.10 No.3, pp.171 - 188

Received: 25 May 2013
Accepted: 15 Sep 2013
Published online: 10 Sep 2014 *

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