Free out-of-plane vibrations of a rotating beam with non-linear elastomeric constraints

Free, out-of-plane vibration of a rotating beam with a non-linear, elastome ric constraint has been investigated. The elastomer is modelled as a parall el combination of spring and damper elements. The stiffness and damping par ameters are evaluated by using previous experimental data. The linear analy sis is performed by two techniques, one based on a power series expansion a nd the other based on the Rayleigh-Ritz principle. The results are found to be in excellent agreement. In the non-linear analysis, a numerical-perturb ation technique is applied to determine the frequency-amplitude relationshi p. A parametric study revealing the influence of the non-linear constraint is presented. (C) 1999 Academic Press.