Multi-scale frequency response topological optimization method based on continuous gradient microstructure

Abstract

The invention belongs to the field of structure optimization, and discloses a multi-scale frequency response topological optimization method based on a continuous gradient microstructure. The method comprises the following steps: (a) initializing initial configurations of a macrostructure and a prototype microstructure to be optimized; (b) calculating a macrostructure frequency response J1 according to the equivalent attribute of the initial configuration, and calculating to obtain the configuration of each prototype microstructure; (c) performing shape interpolation on each prototype microstructure to obtain a plurality of gradient microstructures as sample points to construct a prediction model and predict the equivalent attribute of each gradient microstructure in the macrostructure; (d) calculating the frequency response J2 of the macrostructure by utilizing the equivalent attribute of each gradient microstructure, calculating the difference value between J1 and J2, calculating thedensity of each microstructure in the macrostructure when the difference value is greater than a preset threshold value, and returning to the step (b); and when the difference value is smaller than the preset threshold value, acquiring the microstructure configuration in the macrostructure through shape interpolation. The dynamic performance of the structure can be fully improved.

Description

technical field [0001] The invention belongs to the field of structure optimization, more specifically, relates to a multi-scale frequency response topology optimization method based on continuous gradient microstructure. Background technique [0002] Heterogeneous porous structures have many excellent mechanical properties, such as ultra-lightweight, high specific stiffness / strength, excellent acoustic and vibration damping properties, and are widely used in aerospace, automotive and other related structural design fields. Multiscale frequency response topology optimization is an effective porous structure design method, which is very suitable for structural design with high requirements for vibration and noise reduction. The multi-scale frequency response topology optimization design method based on continuous gradient microstructure can fully explore the design potential of macro and micro scales, and achieve the best performance of the structure with the least amount of ...

Images