Method for topological optimization design of cantilever beam structure based on shape-preserved constraints

Abstract

The invention discloses a method for topological optimization design of a cantilever beam structure based on shape-preserved constraints and aims at solves the technical problem of poor precision in the present method for topological optimization design of a cantilever beam structure. The technical scheme comprises the steps: adopting a structural strain energy physics function and quantizing buckling deformation in a local area of the cantilever beam structure; utilizing a quantized strain energy numeric value as a constraint during optimization, giving an upper bound of the constraint and solving the flexibility of the strain energy constraint function in an accompanying method; meanwhile, introducing a constraint of material quantity, utilizing the whole rigidness of the cantilever beam structure as a target function, performing topological optimization, thereby obtaining a design result. By adopting the method, the deformation of the cantilever beam structure is effectively inhibited after the local area is stressed with load; meanwhile, the displacement form of the rigid body in the area is maintained and the shape-preserved design effect is realized. The optimization design result shows that the deformation capacity of the local area of the cantilever beam structure with the shape-preserved constraints is reduced to be 0.2% of the background art when the usage quantity of the same material is 40%.

Description

Technical field [0001] The invention relates to a cantilever beam structure topology optimization design method, in particular to a cantilever beam structure topology optimization design method based on conformal constraints. Background technique [0002] The document "Evolutionary topology optimization of continuum structures with a global displacement control, Computer-Aided Design, 2014, Vol56, p58-67" discloses a structural topology optimization design method based on the global maximum displacement constraint. This method is aimed at the cantilever beam structure, by constraining the maximum displacement value of the structure under the action of distributed load and the amount of material, the maximum displacement of the structure is less than a given value and the design meets certain rigidity requirements. [0003] The method described in the literature only constrains the maximum displacement point of the structure to be less than a given value to achieve control of the sh...

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Problems solved by technology

[0004] In order to overcome the deficiency of poor accuracy of existing cantilever beam structure topology optimization design methods, the present invention provides a cantilever beam structure topology optimization design method based on conformal constraints

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