Numerical evaluation of transmission vibrations in satellite stability using telescopic gradient boom and determination of geometric design parameters using particle swarm optimization algorithm

Determining the geometrical characteristics of the telescopic booms for the stability of the satellite and reducing its transmission vibrations is one of the most important issues that should be considered for designing a satellite stabilization booms. In this study, due to the high ratio of satellite mass to the booms, the booms is modeled as a cantilever beam with finite element method and the initial displacement in accordance with the shape of the first mode is considered for it. The supports forces and torques were calculated using the Newmark dynamic solution method for the finite element model. With these values, the Eulerian angles of the satellite have been evaluated. In this study, the critical displacement of the beam, which is its lateral displacement, has been investigated. For stability, the length of the booms should be increased, while for decreasing the vibrations of the satellite, a short length is desired. Using multi-objective optimization algorithm, the conflict has been resolved to achieve the appropriate geometry. The results show that the stability and vibrations transmitted from the beam to the satellite are very important and the correct choice of geometry has a good effect on these two issues.