Non-sphere perturbation on dynamic behaviors of spatial flexible damping beam

Abstract

As one of the main factors affecting the dynamic behaviors of the ultra-large spatial structure, the non-sphere perturbation effects have been considered in the dynamic analysis of the rigid spatial structures recently. In this paper, employing the structure-preserving method developed in our previous job, the non-sphere perturbation effects on the orbit dynamic behavior, the attitude dynamic behavior as well as the transverse vibration of the spatial flexible damping beam are investigated in detail. The remarkable effects of the non-sphere perturbation on the dynamic behaviors of the beam obtained numerically in this paper include: The non-sphere perturbation effects on the evolution of the orbit radius should not be neglected when the attitude angle is far away from the stable attitude state; The non-sphere perturbation accelerates the dissipation of the transverse vibration of the spatial flexible damping beam; It is more important that, the consideration of the non-sphere perturbation results in a new stable attitude of the beam when the initial attitude angle is close to π/2 and the initial attitude angle velocity is small enough. The above novel findings give some good advice on the attitude adjustment scheme design and the vibrational control strategy design for the ultra-large spatial structures.