The invention discloses an auxetic
metamaterial filling curved
surface structure optimization method, which comprises the steps of selecting a curved surface parameterization model, dividing structured grids in a curved surface parameter domain, determining the type of a negative Poisson's ratio
microstructure of a filling curved
surface structure and
volume fraction constraint, and optimizing the filling curved
surface structure according to the type of the negative Poisson's ratio
microstructure. Designing a plurality of negative Poisson's ratio microstructures in the
volume fraction constraint by using a parameterized color
level set method, uniformly filling the microstructures into the curved surface structure, simulating the relationship among the volume fractions of the microstructures, the
level set function and various coefficients in the
elastic matrix through an interpolation /
fitting algorithm, establishing an optimized column formula of the volume fractions of the microstructures, and calculating the volume fractions of the microstructures according to the optimized column formula. And obtaining a
microstructure level set function corresponding to the optimized
volume fraction of each microstructure unit, and assembling and inversely mapping the microstructure
level set function into a curved surface
design domain to obtain a multi-scale curved surface component configuration subjected to gradient auxetic
metamaterial filling optimization. The functional
metamaterial can be effectively used in the structure of a complex curved surface structure, and the
integrated design of the
impact resistance function and the bearing performance is achieved.