Do you know anybody who works on a flexible beam with moving mass by using matlab program or simulates this problem in a finite element software such as ansys, abaqus or patran?
Catania, Sorrentino, Dynamic analysis of railway bridges by means of the spectral method. They worked on a plate model in order to simulate a bridge crossed by a train. It is more complicated than a beam model. However they used a tensor product of beam eigenfunctions to model the plate behavior and the numerical tests were coded in matlab.I hope this will be useful.