TOPOLOGY OPTIMIZATION DESIGN METHOD WITH COORDINATION OF RIB LAYOUT AND SUBSTRATE SHAPE

The invention relates to a rib layout and substrate shape collaborative topological optimization design method, and belongs to the technical field of topological optimization design, and the method comprises the following steps: building a model of a to-be-designed structure, determining a design domain in the model of the to-be-designed structure, and determining design variables of the substrate and the stiffened strip in the design domain; obtaining the density [rho]e of any unit in the to-be-designed structure according to the design variable; applying boundary conditions according to grid division of the design domain, and determining an element stiffness matrix ke and a total stiffness matrix K in the design domain; calculating a displacement variable U according to the total stiffness matrix K; meanwhile, according to the element stiffness matrix ke and the displacement variable U, calculating the target function flexibility c; constructing a unit volume constraint function according to the density [rho]e of any unit; and defining that the target function compliance c is minimum and the constraint condition is that the unit volume constraint function is satisfied, establishing a topological optimization model to obtain a design variable density matrix, and establishing a visual model in three-dimensional software according to the design variable density matrix.