Vibration characteristics of a cantilever plate with attached spring–mass system

Coupled free vibration analysis has been performed on a cantilever thin plate carrying a spring–mass system attached on an arbitrary point by using Rayleigh–Ritz method. Influence of an attached ‘spring–mass’ system, i.e., attached position, relative values of mass and spring constant, on the coupled vibration characteristics of the system has been clarified comparing with those of uncoupled ones. Optimal attached position to maximize coupled plate natural frequency is also investigated and shown in contour diagrams. The influence of an attached mass has also been investigated, as the limiting case whereby the spring stiffness of the ‘spring–mass’ system approaches infinity.