The invention discloses a variable topology
system dynamics
recursion grouping method based on
graph theory description, and belongs to the field of
spacecraft dynamics. The implementation method comprises the following steps: automatically calculating a cyclic dimension based on a
graph theory algorithm, matching non-tree edges, generating pseudo nodes, and converting a ring-containing structure into a connected ring-free
tree structure; multi-module topology automatic
continuation: through a node number
continuation method, automatically identifying repeated nodes, deleting redundant description and splicing new module topology, and realizing topology unified description of multi-module
assembly; according to the method, a dynamic model is automatically grouped, manual derivation is not needed, a constraint equation is described by a body-pseudo body recursive relationship, a unified recursive relationship of
rigid body-
rigid body, flexible body-flexible body and
rigid body-flexible body connection is combined,
modal parameters are automatically called, a grouping matrix is generated, and the
dynamic equation is output, so that automatic modeling updating can be realized. According to the method, automatic dynamic grouping of the variable topology
system can be realized, dynamic reconstruction is avoided, and characteristic analysis and
attitude control of an on-
orbit assembly system are facilitated.