FREE-VIBRATIONS OF BEAMS WITH ELASTICALLY MOUNTED MASSES

The problem of free transverse vibrations or beams with many elastically mounted masses is considered. Closed form expressions of the equations for the natural frequencies are obtained by means of the Green function method. The solution contains all possible combinations of classical end conditions of the beam. Numerical examples show the influence of the attached masses on the frequencies of the system. They also show the existence of additional frequencies of the system considered, compared to those of the beam without masses attached.