Dynamic Response of Prestressed Rayleigh Beam Resting on Elastic Foundation and Subjected to Masses Traveling at Varying Velocity

Abstract

In this study, the dynamic response of axially prestressed Rayleigh beam resting on elastic foundation and subjected to concentrated masses traveling at varying velocity has been investigated. Analytical solutions representing the transverse-displacement response of the beam under both concentrated forces and masses traveling at nonuniform velocities have been obtained. Influence of various parameters, namely, axial force, rotatory inertia correction factor, and foundation modulus on the dynamic response of the dynamical system, is investigated for both moving force and moving mass models. Effects of variable velocity on the vibrating system have been established. Furthermore, the conditions under which the vibrating systems will experience resonance effect have been established. Results arrived at in this paper are in perfect agreement with existing results.

Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses

“…Unlike in the case of the moving force, an exact analytical solution to this equation is not possible. Thus, one resorts to an approximate analytical technique due to Struble discussed in [Gbadeyan and Oni (1992), Oni and Omolofe (2005b)]. By this technique, we seek the modified frequency corresponding to the frequency of the free system due to the presence of the effect of the mass of the load.…”

“…By this technique, one seeks the modified frequency corresponding to the frequency of the free system due to the presence of the effect of the moving mass. Following the procedures extensively discussed in [Oni and Omolofe (2005b)], the homogeneous part of equation (39) is simplified to take the form…”

“…It is known from earlier studies that, the problem of assessing transverse vibrations of elastic solid structures subjected to moving loads has been commonly considered for a point-like type of moving load, see for examples [Gbadeyan and Oni (1992), Sadiku and Leipholz (1989), Lee (1994), Oni and Omolofe (2005b), Oni and Awodola (2005)]. While studies concerning a dynamical system involving moving distributed loads are not so common.…”

Vibration analysis of a beam with moving support subjected to a moving mass travelling with constant and variable speed

“…In this study, the acceleration and deceleration processes are considered as a constant acceleration process. Dynamic response of pre-stressed Rayleigh beam resting on elastic foundation and subjected to masses traveling at varying velocity was presented in [12]. Analytical solution for the deflection of the beam subjected to both a moving mass and a moving load with constant acceleration was obtained.…”

Nonlinear coupled longitudinal–transverse vibration analysis of a beam subjected to a moving mass traveling with variable speed

“…The possible separation of the moving mass from the beam was studied using the contact force. Dynamic response of prestressed Rayleigh beam resting on elastic foundation and subjected to masses traveling at varying velocity was presented in [21]. Analytical solution for the deflection of the beam subjected to both a moving mass and a moving load with constant acceleration was obtained.…”