关键词: Timoshenko梁理论, 功率流主动控制, 耦合梁, 行波方法, 中高频抖动

Abstract: To study dynamic response and active control of coupled beam structure under the influence of disturbance in the median and high frequency regions, based on the Timoshenko beam theory, considering the influence of rotatory inertia and shear deformation of beam, the member models of the longitudinal, bending motion and the junction scattering model are established by travelling wave method for beam structure, respectively. Then the travelling wave kinetic model of coupled beam is built and the accurate dynamic response is obtained in the median and high frequency regions. The thought of “power flow” is introduced, which is used as the objective function, and optimized control force amplitude and phase are obtained by optimization algorithm, which are applied to the coupled beam structure. Ultimately, active control of power flow for coupled beam structure is realized. On this basis, the numerical simulation is made, and simulation results are compared with those obtained by Euler-Bernoulli beam theory. The results show that the dynamic response of coupled beam structure by travelling wave method is accurate and reliable; Timoshenko beam model is more accurate than Euler-Bernoulli beam model in the median and high frequency regions, and is more closer to practical engineering；Active control of power flow can efficiently reduce the jitter of the coupled beam structure in the whole frequency domain, and it proves that active control of power flow by travelling wave method is correct and valid.

Key words: Active control of power flow, Coupled beam, Median and high frequency jitter, Timoshenko beam theory, Travelling wave method