Material breakage constraint-based continuum structure topology design modeling and optimization design method

Abstract

The invention discloses a material breakage constraint-based continuum structure topology design modeling and optimization design method, which is used for solving (a) problems of stress concentration and singularity, and (b) a problem of maximum stress fluctuation and a problem of high analyzed and calculated quantity in different degrees in the prior art. In the method, effective stress constraint relaxation is adopted to treat the phenomenon of stress singularity. In the process of optimizing problem approximation modeling, a q1 norm metrical function of the structural stress serves as a penalty function, all unit stress constraints are replaced by q2 norm metrical function constraint of the structural stress, the most potential active unit stress constraints and the introduced volume constraints, and the local stress level is controlled by combining variable constraint limit. The optimization process of the method is divided into two optimization stages and a conversion stage, andthe design space is automatically expanded and reduced. A quadratic programming method is utilized to solve each stage, a pure optimized structural topology in black / white distribution can be obtained, and the method has high optimization design efficiency.

Description

technical field [0001] The invention relates to a continuum structure topology design modeling and optimization design method based on material damage constraints, and is suitable for design modeling, analysis and optimization design of complex continuum structure systems. It belongs to the technical field of structural optimization design. technical background [0002] In the concept of modern structural design, while the structure is required to be as light as possible, it is also required to have high reliability and sufficient safety. There is often a contradiction between the two. The development of innovative design technologies for complex structures and parts is an effective way and a new development direction to solve this contradiction, improve structural performance, reduce structural weight and shorten the structural design cycle. In most of the optimization models involved in the topology optimization methods of continuum structures based on sensitivity analys...

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Problems solved by technology

[0006] 3. The sequential integer programming method can obtain the structural optimization solution, but the structure scale of the solution is very small, which is not suitable for engineering applications

Although some other methods can solve the stress concentration problem, it is still necessary to explain the obtained material distribution in the end, and it is difficult to accurately obtain the optimal solution of the original problem

In addition, in the iterative optimization process of the ICM method and the SIMP method, a large number of deleted material elements still exist in the structure with small stiffness and mass, which may easily cause the total stiffness matrix of the structure to be ill-conditioned and the structure to have false local modes. The size of the sensitivity analysis is always kept as the size of the largest design domain, and its analysis is computationally intensive

When considering the load action associated with the mass distribution, the existence of a large number of deleted material elements leads to large errors in the structural stress and its sensitivity analysis

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