Rib layout and substrate shape collaborative topological optimization design method

Abstract

The invention relates to a rib layout and substrate shape collaborative topological optimization design method, and belongs to the technical field of topological optimization design, and the method comprises the following steps: building a model of a to-be-designed structure, determining a design domain in the model of the to-be-designed structure, and determining design variables of the substrate and the stiffened strip in the design domain; obtaining the density [rho]e of any unit in the to-be-designed structure according to the design variable; applying boundary conditions according to grid division of the design domain, and determining an element stiffness matrix ke and a total stiffness matrix K in the design domain; calculating a displacement variable U according to the total stiffness matrix K; meanwhile, according to the element stiffness matrix ke and the displacement variable U, calculating the target function flexibility c; constructing a unit volume constraint function according to the density [rho]e of any unit; and defining that the target function compliance c is minimum and the constraint condition is that the unit volume constraint function is satisfied, establishing a topological optimization model to obtain a design variable density matrix, and establishing a visual model in three-dimensional software according to the design variable density matrix.

Description

technical field [0001] The invention belongs to the technical field of structural topology optimization design, and in particular relates to a topology optimization design method in which rib layout and substrate shape are coordinated. Background technique [0002] The reinforced structure is composed of the base plate and the ribs based on it. The shape of the base plate and the layout of the ribs will directly affect the performance of the reinforced structure. Compared with the traditional solid structure, the reinforced structure can significantly improve the stiffness-to-weight ratio of the structure, that is, the maximum stiffness can be obtained under the condition of limited volume. [0003] In recent years, the application of genetic algorithm and other intelligent algorithms to optimize the reinforced structure has been greatly developed. However, the disadvantages are also obvious, such as low computational efficiency, small number of design variables that can be ...

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Problems solved by technology

[0003] In recent years, the application of genetic algorithm and other intelligent algorithms to optimize the reinforced structure has been greatly developed, but the disadvantages are also obvious, such as low computational efficiency, small number of design variables that can be realized, limited optimization space, etc.

In the prior art, a new parametric method is proposed to realize the optimal design of rib layout and height. The basic idea of ​​this method is to use two independent design variables, namely, the density field describing the distribution of ribs on the plane and Describe the height field of the height of the ribs, so as to realize the topology optimization structure of unidirectional reinforcement on the bottom plane reference plate, this method does not consider the influence of the change of the shape of the substrate on the structural performance

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