The invention provides a three-period minimal curved surface
variable density lattice structure design method for additive manufacturing. The method comprises the following steps: firstly, establishing an elastic structure finite
element model based on an elastic structure static balance theory and a unit 'birth and death' technology, and designing a structure unit
bearing capacity extraction method; then, obtaining
structural unit bearing capacity vector data and structural finite
element model unit node data through calculation, and giving a
structural unit bearing capacity cloud chart; then,
processing the bearing capacity data of the
structural unit, including curved surface interpolation, spline interpolation and normalization, and combining the processed bearing capacity data of thestructural unit with a TPMS function; then, serving the
porosity of the TPMS porous structure as an evaluation index of the
variable density lattice structure, and achieving TPMS
variable density curved surface modeling through a March cubes
algorithm; and finally, performing Boolean operation on the TPMS variable-density curved surface model and the original structure model to realize curved surface sealing. According to the invention, the problems of unstable topological structure numerical value, low efficiency and the like in the traditional lattice structure design are solved.