Wavelet analysis of a solid vibration due to a load moving along a beam resting on a surface

摘要

The paper describes a theoretical model of an infinitely long beam resting on a viscoelastic multilayered surface together with a harmonic point load moving along the beam. The influence of layers' physical properties and moving load speed on the level of vibrations at the surface is analysed. The analytical solutions for displacement and the amplitude spectra were determined and a special approximation method based on the wavelet theory, using the Coifflet filter coefficients, was introduced and adapted for the calculation of the vertical displacement. A parametrical analysis of the system's behaviour is presented when different parameters are varied: the mass density, Young's modulus, load velocity and load frequency for the harmonic load. This model is related to the investigation of vibrations generated by high-speed trains, problem which has become a very important subject of research in recent years.