Macro Design Method of Stiffness Gradient Structur
In this paper,the relationship between elastic modulus and density is established based on SIMP density interpolation method.According to the interpolation method and the idea of level set,the overall stiffness or flexibility of macro-structure is taken as the optimization goal,the relative density of elements is taken as the design variable,and the overall volume and statics equation of macro-structure are taken as the constraints,so as to establish the macro-level opti-mization model.Combined with specific examples,the macro-structure regions with stiffness gradient characteristics are divided,and the macro-stiffness gradient structure with clear interface is obtained.In the optimization design,a large number of intermediate density units are obtained by topological optimization method,so choosing a smaller penalty factor in interpolation can not only serve the optimization problem of discrete variables,but also avoid the occurrence of"chess-board"phenomenon,and obtain a large number of gray units ranging from 0 to 1.Then,the similar intermediate density units are averaged,and the original density value is replaced by the averaged density value,so that a clearly defined topol-ogical structure can be obtained.Because a single material is used in the design,by solving the optimization model and lay-ering with density,the macro-gradient structure with gradient stiffness can be obtained,and the macro-structural regions with gradient stiffness characteristics can be divided.Combined with the concrete cantilever beam structure,the material consumption in each sub-domain under different conditions can be obtained,which provides certain reference value for the study of macro-stiffness structure.
万方数据
维普
