Natural Vibrations of a Spacecraft’s Solar Array Wing

In the process of deploying the wings of solar arrays of a spacecraft, natural transverse vibrations arise in them. The study of these vibrations is an urgent problem, since in some cases they are capable of disrupting the commutation of photoelectric converters. The transverse vibrations of the wing originate from the connection of its sections when locking (coupling) hinge devices. In this case, the kinetic energy of the sections is converted into the potential energy of natural vibrations of the solar array wing. This problem is traditionally solved by using a finite element model with subsequent calculations in the ANSYS program. The purpose of this study is to develop an approximate analytical method for mathematical modeling of the natural elastic vibrations of elements of the solar array wing arising in the process of its deploying.