Entity material and truss-like microstructure material integrated non-probability reliability topology optimization method

A topology optimization and microstructure technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as uncertain parameters, topology optimization technology has not been fully developed and effectively applied, etc., to reduce economic costs, Low weight and good economic performance

Active Publication Date: 2018-11-06
BEIHANG UNIV
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Problems solved by technology

[0005] The topology optimization technology that describes uncertain parameters as interval models and applies them to engineering practice has not been fully developed and effectively applied

Method used

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  • Entity material and truss-like microstructure material integrated non-probability reliability topology optimization method
  • Entity material and truss-like microstructure material integrated non-probability reliability topology optimization method
  • Entity material and truss-like microstructure material integrated non-probability reliability topology optimization method

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Embodiment Construction

[0041] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0042] Such as figure 1 As shown, the present invention proposes an integrated non-probabilistic reliability topology optimization method for solid materials and truss-like microstructure materials, including the following steps:

[0043] (1) Based on the traditional material interpolation model with penalty function, a dual-material interpolation model for the integrated design of solid materials and truss-like microstructure materials is established:

[0044]

[0045] where Ψ i is the element stiffness matrix of the i-th element, Ψ 1,i is the element stiffness matrix of the i-th element related to the solid material, Ψ 2,i is the unit stiffness matrix of the i-th unit related to the truss-like microstructure material; x 1,i and x 2,i are the design variables of the i-th unit at the solid material level and the truss-like microstructur...

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Abstract

The invention discloses an entity material and truss-like microstructure material integrated non-probability reliability topology optimization method. The method comprises the steps of indirectly realizing establishment of an entity material and truss-like microstructure material double-material interpolation model through utilization of elastic constants of materials; obtaining the elastic constant of a micro-level truss-like microstructure equivalent to macro-level rigidity performance of the materials through utilization of a strain energy equivalent method; describing uncertainty of optimization model parameters through utilization of an interval model, and establishing reliability displacement as a non-probability reliability index; solving the sensitivity of the reliability displacement to design variables through utilization of an adjoint vector method; and updating the design variables through application of an MMA algorithm, and carrying out iterative optimization until the optimum design scheme is obtained. According to the method, in a continuum structure topology optimization process, the entity material and truss-like microstructure material integrated design is effectively realized, influence of uncertain parameters described by the interval model on the structure performance is reasonably represented, and the light weight, safety performance and economy of the structure are effectively improved.

Description

technical field [0001] The invention relates to the field of topology optimization design of continuum structures, in particular to a method for non-probabilistic reliability topology optimization of continuum structures in the integrated design of solid materials and truss-like microstructure materials. Background technique [0002] Almost all existing industrial products are designed and manufactured based on solid materials, and there are quite few industrial products based on multi-materials, especially based on the integrated design of solid materials and truss-like microstructure materials. Although the design and processing of industrial products based on solid materials are relatively simple, the material properties of some parts are not fully utilized, and the weight of the structure is taken up but does not play a sufficient role. This situation is particularly evident in the aerospace field. The aerospace field has strict requirements on the structure, because th...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/23G06F2111/10
Inventor 王磊梁金雄刘东亮夏海军王晓军邱志平
Owner BEIHANG UNIV
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