Method for optimizing that distribution of reinforcing rib of thin plate structure

Abstract

The invention provides a method for optimizing that distribution of reinforcing rib of thin plate structure which includes such steps as defining the maturity of design variable element as height factor of reinforcing rib, and dispersing the design variable by equal distance, optimizing the distribution of reinforcing rib, optimizing the distribution of reinforcing rib, optimizing the distributionof reinforcing rib, and optimizing the distribution of reinforcing rib. S2, based on the Von mises yield criterion, establishing the local stress constraint condition, establishing the global displacement constraint condition based on the unified constraint function, and establishing the two-level optimization model of the algorithm based on the idea of hierarchical solution. S3, establishing a finite element plate-beam discrete model with stiffeners in the shape of meter, and initializing the design variables of each stiffened element as the initial structure of optimization; S4, taking one-dimensional search method to solve the first stage, and taking relative difference quotient method to solve the second stage on the basis of the first stage optimization result, which is the distribution result of the optimized reinforcing ribs. The method can be used to solve the local stress constraint and the global displacement constraint in different levels, and the section size and the distribution position of the stiffener can be optimized. Finally, the optimal distribution shape of the stiffener can be obtained.

Description

technical field [0001] The invention relates to a method for optimizing the distribution of stiffeners in a thin plate structure. Background technique [0002] The thin plate structure is different from the thick plate and film structure, and refers to a type of structural form in which the ratio of the characteristic size of the plate surface to the plate thickness is between 5 and 100. Thin-plate structures are widely used in fields such as aviation, aerospace, automobiles, and ships that require high structural lightweight, but they have disadvantages such as low structural strength and easy deformation. In general, the performance of the structure can be greatly improved by arranging stiffeners on the slab, while increasing the weight of the structure relatively little. However, the common rib design forms are mostly vertical and horizontal layouts with equal height and equal spacing, such as "two" shape, "well" shape, "m" shape, etc. Such a design is too conservative....

AI Technical Summary

Problems solved by technology

However, most of these methods come from continuous variable topology optimization, and it is difficult to solve optimization problems with constraints such as stress and displacement.

In the optimization design of engineering structures, in order to make the designed structure meet various structural performance indicators, it is inevitable to deal with constraints such as stress and displacement. At this time, the analytical mathematical tools relied on by continuous variable topology optimization are invalid.

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