Transverse Vibration of a Timoshenko Beam Subjected to a Moving Load

초록

The dynamic response and stresses of a beam-like one-dimensional (1-D) flexural structure subjected to moving loads may become considerably higher than those induced by equivalent stationary dynamic or static forces at a certain speed of the moving loads. Such moving load problems are very common in a wide range of engineering fields. Thus the moving load problems have been a very important research topic in structural dynamics for over a century. Accordingly there have been a lot of solution techniques to deal with moving load problems. Among them, the finite element method (FEM) is the most widely by many researchers. However, the FEM often requires a huge number of degrees of freedom in order to improve its accuracy. In contrast to the FEM, the spectral element method (SEM) is known to provide extremely accurate solutions at any frequency range of interest by using the frequency-dependent dynamic shape functions. However, there have been very few SEM applications to moving load problems. Thus, the purpose of this study is to introduce a new spectral element analysis method for the beams subjected to a moving load.