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Double-chain quantum genetic algorithm for structural optimization design

A quantum genetic algorithm and optimization design technology, applied in the field of structural optimization design, to achieve the effect of ensuring efficiency and improving limitations

Inactive Publication Date: 2020-05-08
BEIHANG UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] The technical problem to be solved by the present invention is: to overcome the deficiencies of the prior art, and to propose a better structural optimization design method based on the double-chain quantum genetic algorithm. The obtained optimization results do not depend on the initial value while ensuring efficiency. It is also not easy to fall into local optimum, which is more in line with actual needs and has stronger engineering applicability

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Embodiment 1

[0066] In order to understand more fully the characteristics of the invention and its applicability to engineering practice, the present invention aims at such as figure 2 The ten-bar truss structure shown is optimized for size and weight reduction. The rods numbered 1, 2, 3, 4, 5 and 6 are all 9.144m in length, and the rods form a rectangular structure, so the length of the diagonal rods is 9.144m. The elastic modulus of each rod is 210GPa, the density is 7800kg / , the number of structural nodes is 6, and the number of units is 10. The ⑤ node is hinged with the ⑥ node, and other nodes have no degree of freedom restriction, and each node has two degrees of freedom. A horizontal load of 1779.2KN and a vertical load of 444.8KN act on node ②, and a vertical load of 444.8KN acts on node ④. The independent variable is selected as the cross-sectional area of ​​10 rods, the objective function is the total mass of the truss, and the limiting constraints are the material strength con...

Embodiment 2

[0073] Referring to the calculation example in the article "A99line topology optimization code written in Matlab" published by Sigmund in Structural and Multidisciplinary Optimization in 2001, the following Figure 4 The shown cantilever beam structure is divided into 60*40 units, and the source program used in the paper, the improved program of the genetic algorithm and the improved program based on the double-chain quantum genetic algorithm proposed by the present invention are respectively used to carry out the process with the minimum flexibility as The topology optimization of the objective results in Figure 5 shown. When the tolerance is constant, the optimized configuration of the source program is related to the initial density, while the optimized configuration of the improved program using genetic algorithm and double-chain quantum genetic algorithm does not depend on the initial value, and is similar to the traditional genetic algorithm. Compared with the optimiza...

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Abstract

The invention discloses a double-chain quantum genetic algorithm for structural optimization design. The design result obtained through the method better meets the actual requirement, and the engineering applicability is higher. Firstly, selection of an initial scheme of structure optimization is improved on the basis of a superposition state thought in quantum computing, and dependence of a traditional method on an initial value is avoided. A quantum genetic algorithm mechanism is introduced in the structure optimization process (size / topology), the search range of a solution space is expanded, and therefore the optimal configuration more suitable for actual engineering requirements is obtained. The method has the advantages that a new thought of a double-chain quantum genetic algorithm is introduced into structural optimization design; on one hand, the dependence of a traditional gradient optimization method on an initial value is overcome, on the other hand, the search range of theunderstanding space is expanded, compared with a common evolutionary algorithm, the method is not prone to falling into local optimum, higher global optimization capacity is achieved, and a new tool and means are provided for the structure optimization design problem in the field of aircraft design.

Description

technical field [0001] The invention relates to the technical field of structure optimization design, in particular to the optimization problem of large-scale design parameters in the process of aircraft structure size optimization / topology optimization design, and realizes the optimal structure design based on the idea of ​​quantum optimization. Background technique [0002] In the optimization design of the aircraft structure, in order to design a reasonable structural form and size under the design conditions (such as strength, stiffness, material selection and manufacturing process requirements, etc.), the optimization of the structure is initially achieved by means of mathematical optimization methods. In recent years, with the introduction of high-performance computers and new optimization ideas, evolutionary algorithms based on bionics (genetic algorithm, ant colony algorithm, particle swarm algorithm, etc.) have been widely used in the optimal design of aircraft struc...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/15G06F30/17G06N3/12
CPCG06N3/126
Inventor 王晓军倪博文王磊阳焱
Owner BEIHANG UNIV
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