Multi-section rack structure, guide rail structure and massage chair structure

The utility model relates to a multi-section rack structure. The multi-section rack structure comprises a curved rack structure, a linear rack structure and a connecting piece, the connecting piece is arranged between the curved rack structure and the linear rack structure and can rotate relative to the curved rack structure and the linear rack structure; the connecting piece comprises a third shell, an inner rack is arranged in the third shell, a connecting plate is arranged on the outer side of the third shell, and the connecting plate is rotationally connected with the curve rack structure and the linear rack structure through two rotating shafts respectively. According to the multi-section type rack structure, the transition teeth at the two ends of the inner rack and the transition teeth at one end of the curve rack and one end of the linear rack form the pitch circle, the center of the rotating shaft is located on the pitch circle, and therefore the curve rack, the inner rack and the linear rack can rot