The invention discloses a structure
topology optimization method based on material field reduction
series expansion, and solves the problem of low calculation efficiency caused by too many design variables and need of
relative density or sensitivity filtering measures in traditional
density method topology optimization. The method comprises the following steps: a bounded material field consideringcorrelation is defined; a spectral
decomposition method is adopted to perform transform to obtain a linear combination of a series of undetermined coefficients, the undetermined coefficients are usedas design variables, an optimization model is constructed based on a
unit density interpolation model, a gradient class or non-gradient class optimization
algorithm is adopted to solve a topologicaloptimization problem, and then a topological configuration with a clear boundary is obtained efficiently. According to the method, the number of design variables in
density method topology optimization can be greatly reduced, and meanwhile, the method has the natural
advantage of completely avoiding grid dependence and chessboard format problems. The method also inherits the advantages of simple
density method form, convenience in
engineering popularization and the like, the optimization solving speed is high, and the research and development efficiency of the innovative topological design ofthe complex equipment structure can be ensured.