Active control of power flow transmission in complex space truss structures based on the advanced Timoshenko theory

Abstract

The disturbance propagation and active vibration control in complex space truss structures are investigated. Firstly, based on the advanced Timoshenko theory, the accurate dynamic responses of the space truss are obtained by the traveling wave method. Each structural member is treated as a waveguide, which transmits longitudinal, bending and torsional waves, and is connected by the junction. Secondly, the active power flow transmission of the space truss is suppressed by the feedforward active vibration control. Finally, the numerical simulation is implemented. The simulation results indicate that the dynamic responses of a space truss structure calculated by the traveling wave method are accurate and reliable in comparison with the results obtained by the finite element method. The dynamic responses are more accurate when using the Timoshenko beam model due to considering the effects of rotary inertia and shear distortion, especially in medium and high frequency ranges. Active control effects, attained by minimizing the active power flow, are compared with those achieved by minimizing the acceleration for suppressing the active power flow or the acceleration. It shows that active control effects achieved by minimizing the active power flow are much more effective than those reached by minimizing the acceleration, whether the error sensor is located in the far field or near field of the control source. In addition, the small error of the optimal control force has slight effects on the control results.