This study is concerned with design of a tuneable vibration absorber by using an inertial actuator (IA) with its proof-mass acceleration used as feedback signal. Acceleration feedback control loop can produce virtual mass effect, and the natural frequency of the IA can be shifted. The main advantage of the proposed IA-based tuneable vibration absorber is that the control loop is very simple and does not require any low-pass filter or integrator. Finally, the experimental results are presented to verify the tuning capability and control performance of the proposed vibration absorber.

This study employs the Adomian modi¯ed decomposition method (AMDM) for the dynamic analysis of Euler-Bernoulli beams spinning about their longitudinal axes under various boundary conditions. Based on the AMDM, the governing di®erential equations for the spinning beam become a recursive algebraic equation system. By using the boundary condition equations, the natural frequencies can be readily obtained. The computed results under di®erent classical and nonclassical boundary conditions as well as spinning speeds are presented. The accuracy is assured from comparison with published results. It is shown that the AMDM o®ers an accurate and straightforward method of free vibration analysis of spinning beams with arbitrary boundary conditions.