Three-dimensional structure topology optimization design method and device with smooth boundary expression

Abstract

The invention discloses a three-dimensional structure topology optimization design method and device with smooth boundary expression, and belongs to the field of structure topology optimization. The method comprises steps of establishing a mathematical model of an optimization problem based on bidirectional progressive topological optimization, and carrying out parameter initialization and finiteelement analysis by combining a finite element model of a target structure, so that a unit displacement matrix and a unit target function are obtained, and a unit sensitivity degree is obtained; filtering and averaging the node sensitivity degrees of the units, and then performing node evolution to generate a new design; judging whether the volume ratio and the convergence condition are simultaneously met or not for the new design; and if yes, obtaining an optimal design scheme, otherwise, returning to the finite element analysis step, and starting loop iteration optimization. According to themethod, the designed three-dimensional structure can always have a smooth structure boundary under the condition of dividing the small grid size, post-processing operations such as curve / surface fitting are not needed, and the defect that an existing method seriously depends on the grid size is effectively avoided.

Description

technical field [0001] The invention belongs to the technical field of structure topology optimization, and more specifically relates to a three-dimensional structure topology optimization design method with smooth boundary expression. Background technique [0002] Structure refers to a system composed of beams, plates, shells, three-dimensional solids, etc. that can bear and transmit external loads. [0003] Structural topology refers to how the constituent materials are distributed in the design space and how the components are connected. Structural topology optimization aims to seek a structural topology form with some optimal performance under the premise of satisfying constraints such as material volume, bearing capacity, and stiffness index. Because topology optimization does not depend on the initial configuration of the structure and the experience of engineers, it can obtain completely unexpected high-quality configurations, and has become an important tool for inn...

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Problems solved by technology

Although the BESO method has achieved considerable development and good application, it still has the following shortcomings: the design results depend on the grid size, the structure boundary is not smooth, jagged, and the numerical calculation results are not accurate, etc.

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