Reducing the amplitude of vibration at resonances by phase modulation

The mechanism of phase modulation method for reducing the vibration amplitude of vibrating systems accelerating or decelerating through its resonance is presented. The method is theoretically used to rotor and one degree of freedom oscillator models with numerical simulation; numerical results show that the maximum amplitude can be reduced by about 15–20% with phase modulation in comparison with the constantly accelerating case. Possible implementation of the method was introduced. Experiments with a cantilever sheet subjected pulses excitation were conducted to confirm the method; experimental results show that the lateral vibration amplitude of the cantilever at the passage of its first resonance can be reduced about 18% with phase modulation method.