An improved method for optimization of stiffener distribution in thin plate structures with both stress and displacement constraints
A distribution optimization and thin-plate structure technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as failure of analytical mathematical tools and difficulty in solving, and achieve improved evolution conditions, simple modification, and reduced design variables. number effect
Active Publication Date: 2019-03-01
YANSHAN UNIV
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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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[0080] Exemplary embodiments, features, and aspects of the present invention will be described in detail below with reference to the accompanying drawings. The same reference numbers in the figures indicate functionally identical or similar elements. While various aspects of the embodiments are shown in drawings, the drawings are not necessarily drawn to scale unless specifically indicated.
[0081] Specifically, the present invention provides an improved method for optimizing the distribution of stiffeners in thin-plate structures that takes into account both stress and displacement constraints, such as figure 1 As shown, it includes the following steps:
[0082] step 1:
[0083] The thin-plate structure mainly bears the normal load on the surface. Taking the rib with rectangular cross-section as an example, the width of the rib is set as a constant value, and the height of the rib is used as the optimization object. The design variable is defined as a factor of the height ...
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The invention provides an improved method for optimizing the distribution of reinforcing ribs of a thin plate considering stress and displacement constraints, which comprises the following steps: S1,a design variable element maturity is defined as a height factor of the reinforcing ribs, an overall displacement constraint condition is established based on a unified constraint function, and a two-level optimization model of an algorithm is established based on the idea of hierarchical solution; S2, a method for optimizing the distribution of reinforcing ribs of a thin plate is provided. S2, one-dimensional search method is adopted to solve the first stage, and the unit evolution adjustment coefficient is introduced to deal with the local optimal solution problem; S3. Based on the results of the first-level optimization, the second-level optimization is solved by relative difference quotient method, and the irregular distribution of stiffeners is solved by variable connection technique.S4, the influence of the search step size of the design variables on the optimization results is discussed, and the most reasonable value is determined. Numerical examples show that the method can obtain better reinforcement layout and weight loss effect, and the optimization efficiency is also high.
Description
technical field [0001] The invention relates to an improved method for optimizing the distribution of stiffeners in a thin plate structure, which takes both stress and displacement constraints into consideration. 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, suc...
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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor李永欣杨权威刘硕吴凤和
OwnerYANSHAN UNIV