Dynamic response and vibration suppression of a cantilevered pipe conveying fluid under periodic excitation

A feedforward vibration suppression method is proposed for cantilever pipes conveying fluid. The fluid-structure interaction dynamic equation of the cantilever pipeline system is first established, based on the Euler-Bernoulli beam model. Next, the pulsation function of pipeline pressure is established using the Fourier series, which will serve as the input of the cantilever pipeline system. Then, analysis of transient response is carried out, and the relationship between input signal parameters and the end vibration is studied. Finally, a feedforward control strategy based on optimization of input signal parameters is proposed for minimizing the end vibration. Both theoretical derivation and experimental results in industrial equipment show that the proposed method (i.e., optimization of pressure function parameters) is effective and can suppress the structural vibration of a cantilever pipe conveying fluid.