Continuum structure topology and shape dimension comprehensive optimization method

Abstract

The invention relates to a continuum structure topology and shape dimension comprehensive optimization method. The method comprises the steps of meshing a design domain by utilizing a finite element thought and extracting node information of a unit; creating an optimization objective function, adding constraints and loads, and iteratively updating the relative density value of the design domain unit by calculating the sensitivity of the objective function and completing sensitivity filtering; when it is judged that the convergence condition is met, outputting a topological structure with a gray level unit; then setting the numerical value of a gray scale unit to be 1, and meanwhile, filling tiny holes in the structure to form an initial topological structure in a discrete 0-1 matrix form;introducing a boundary function to optimize the shape and size of the initial topological configuration, and finally obtaining an optimal design structure meeting constraint conditions. According to the method, the influence of a gray scale unit on the structure manufacturability in traditional topological optimization is solved, meanwhile, a boundary function is introduced to optimize the shape and size of the initial topological configuration so as to eliminate fine holes embedded into the structure, and the complexity of the continuum structure in the manufacturing process is reduced.

Description

technical field [0001] The invention relates to the related technical field of structure optimization design, in particular to a method for comprehensive optimization of topology and shape and size of continuum structure. Background technique [0002] In the topology optimization design of the continuum structure, the commonly used methods are the density method based on the idea of ​​finite element and the level set method based on the idea of ​​boundary propagation. [0003] The topology optimization based on the density method divides the design domain of the continuum structure into a finite number of units, and assigns the relative density value to each unit as the variable of the optimal design. If the relative density value of the unit is discretized into a step function description of 0-1, and the unit is deleted or generated according to a certain evolution ratio, the optimization result obtained will always depend on the density of the grid, and to a large extent ...

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Problems solved by technology

However, the level set method evolves the boundary contour of the continuum structure, and cannot describe the internal evolution process of the structure favorably. It needs to create many internal holes in the initial design domain to assist in the optimization work. Therefore, the initial configuration of the continuum structure design domain will be affect the final optimization result to a great extent

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