Angular Displacement Control for Timoshenko Beam by Optimized Traveling Wave Method

The vibration of flexible structures in spacecraft, such as large space deployable reflectors, solar panels and antenna structure, has a great impact on the normal operation spacecraft. Accurate control is necessary, angular displacement difficulty accurate control. In traditional method, mode good effect suppressing low-order modes, but there overflow. traveling wave modes worse than former, it characteristics broadband It can better high-order reduce view advantages disadvantages two methods, based Timoshenko beam theory, this paper uses vector function to analyze modal spacecraft cantilever establishes system dynamic equation, puts forward an optimized method. As numerical example, three strategies independent control, are used active angle. By comparing results be seen that optimal method proposed not only effectively suppresses vibration, also improves robustness system, reflecting performance. An innovation model adopted, which considers influence transverse shear deformation moment inertia accuracy calculation, important for accessory with high requirements angle Another exquisite mathematical processing global local available other methods.