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Continuum structure double-material topological optimization method for anisotropic materials

An anisotropic and topology optimization technology, used in design optimization/simulation, special data processing applications, instruments, etc., can solve the problems of inability to apply isotropic materials and anisotropic materials at the same time, and achieve optimal structural topology. , reduce economic costs, improve the effect of mechanical properties

Active Publication Date: 2018-05-15
BEIHANG UNIV
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Problems solved by technology

Therefore, in order to solve the problem that the traditional multi-material topology optimization method cannot be applied to the simultaneous existence of isotropic materials and anisotropic materials, it is necessary to propose a dual-material topology optimization method that can be applied to different types of materials.

Method used

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  • Continuum structure double-material topological optimization method for anisotropic materials
  • Continuum structure double-material topological optimization method for anisotropic materials
  • Continuum structure double-material topological optimization method for anisotropic materials

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[0067] 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 aircraft door joint shown is topologically optimized with two materials. The original design domain is the gray grid part in the figure, and the dark part is the non-design domain. The Y-direction load F=45000kN in the form shown in the figure is applied to the upper end of the joint, and the two connecting rings at the lower end are fixed. The two materials used are: aluminum alloy (elastic modulus E = 70GPa, Poisson's ratio μ = 0.3, density ρ = 2700kg / m 3 ), aluminum alloy microstructure (elasticity coefficient is E x =E y =563Mpa,E z =4595Mpa,μ xy =0.8625,μ yz =μ xz =0.0574, G xy =3016Mpa,G yz =G xz =2952Mpa, density ρ=315.09kg / m 3 ). The non-design area adopts aluminum alloy solid material. The unit cell configuration of the microstructure is as image 3 As shown, the size of the unit ...

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Abstract

The invention discloses a continuum structure double-material topological optimization method for anisotropic materials. According to the method, according to the anisotropic materials and structure optimization problems of all the anisotropic materials, an isotropous entity structure double-material interpolation model of a penalty function is introduced into isotropous and anisotropic coexistingstructure topological optimization, and a stiffness matrix fusion thought is adopted to construct a material interpolation model of double-material topological optimization of an isotropous and anisotropic integrated continuous structure; and then a mobile asymptotic line optimization algorithm is adopted to perform iteration optimization to obtain double-material topological configuration of theisotropous and anisotropic integrated continuum structure under given design space with a relative mass fraction of the structure being constraint, minimum structure flexibility being a goal and unitrelative density being a design variable. Through the method, isotropous and anisotropic fusion is realized in the topological process, the influence of manual intervention in the structure optimization process is avoided, and the optimality of structure performance is ensured.

Description

technical field [0001] The invention relates to the technical field of topology optimization design of continuum structures, in particular to a dual-material topology optimization method for continuum structures oriented to anisotropic materials, which considers the situation that isotropic materials and anisotropic materials exist in the structure simultaneously , using the method of element stiffness matrix fusion, a dual-material interpolation model of isotropic material and anisotropic material is constructed, and the topology optimization of the continuum structure is carried out under the constraint of structural mass. Background technique [0002] For structural design, finding the optimal topological configuration of the structure under given constraints and objectives is a crucial step, which will determine the optimization space for the subsequent shape optimization and size optimization of the structure. Topology optimization has become a powerful tool for structu...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/13G06F30/20
Inventor 王磊刘东亮邱志平夏海军耿新宇
Owner BEIHANG UNIV
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