On The Dynamic Analysis Of A Tapered Timoshenko Beam Under A Uniform Partially Distributed Moving Load

Abstract

In this paper, the analysis of a variable crosssection Timoshenko beam subjected to a moving partially distributed load was carried out. Finite element method with Langrangian interpolation functions and reduced integration element was used to model the structure by discretizing the structure’s domain into finite beam elements and deriving the semidiscrete differential equations which are the elemental and assembled stiffness, mass, and centripetal matrices and load vector. The Newmark direct integration method was used to solve the resulting semi-discrete time dependent equations to obtain the desired responses. Important features of the analysis were investigated and discussed.