Vibration characteristics analysis of disordered two-span beams with numerical and experimental methods

Abstract

Numerical and experimental investigations on the vibration behaviors of the disordered two-span beams have been conducted. The dynamics model of the two-span beam is established and solved by means of the modal superposition method. According to the boundary conditions, the frequency equation of the two-span beam is obtained, and the natural frequencies, vibration modes, frequency response curves, and time-history responses of the structure are also obtained consequently. Considering the structural size disorder due to the two different sub-span lengths of the two-span beam, a disorder ratio is introduced in terms of the two sub-span lengths and its influences on the vibration characteristics of the structure are analyzed. By comparing the results from numerical calculation with those from the finite element method (FEM) and experiments, good agreement is observed, which verifies the validity of the present investigations.