DYNAMIC RESPONSE OF BEAMS WITH A FLEXIBLE SUPPORT UNDER A MOVING LOAD

摘要

This paper deals with the linear dynamic responses of beams with a flexible support under a moving load with a constant speed. The entire system is modeled as a two-span beam and each span of the continuous beams is assumed to obey the Euler-Bernoulli beam theory. Considering the compatibility requirements on the flexible constraint, the relationships between two segments can be obtained. By using a transfer matrix method, the characteristic equation of the system can then be determined. The forced responses of the system under a moving load can then be obtained through modal expansion theory. Some numerical results are also presented.