Transverse vibrations of tapered beams

Transverse vibrations of linearly tapered beams, elastically restrained against rotation at either end, have been investigated. Results for the first three eigenfrequencies, with different values of stiffness ratios (ratio of spring stiffness and beam stiffness at either end) and taper ratio are presented. Cases of a tapered cantilever beam with a concentrated mass at the free end and spring hinged at the other end have also been presented.