Vibration analysis of beams with arbitrary elastic boundary conditions excited by a moving mass

Abstract

In this paper, one newly developed method named the Improved Fourier Series method is applied to the vibration of a beam elastically supported at the both end excited by a moving mass. The flexural displacement of the beam is supposed to be one set of Fourier Series coupled with several appended terms. Based on the energy principle, the mass and stiffness matrix of the beam system are obtained. The mass is added to the model with its gravitation treated as the excitation to the dynamic system. In the end, the effect of the moving mass to the vibration of the beam is analyzed.