The invention discloses an octagonal-
cell composite truss weight reduction
structure based on a symmetric group theory, which comprises a
structural unit cell, the
structural unit cell is composed of a first sub unit cell, a second sub unit cell, a third sub unit cell and an outer stand column, the first sub unit cell is formed by combining secondary sub unit cells through secondary inversion operation, and in addition, the second sub unit cell is formed by combining secondary sub unit cells through secondary inversion operation. Rod pieces in conventional units in the
structural unit cells meet the symmetry of points described by a space point group 8mm, the conventional units are formed by basic symmetric units through set mirror symmetry operation, a z axis is set as a rotating axis in an xyz three-dimensional coordinate
system, and each sub unit cell is obtained by completing
rotational symmetry operation around a center O by an asymmetric
line segment. According to the invention, through mathematical symmetry driving, triple performance indexes of light weight, high strength and
high energy absorption are realized, and the method can be applied to the fields of transmission towers,
aerospace, high-end equipment and the like.