A topology optimization method for arbitrary Poisson's ratio metamaterials

A topology optimization, metamaterial technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as undetermined Poisson's ratio, complex internal structure, and improved mechanical properties of metamaterials

Inactive Publication Date: 2019-03-15
SHANGHAI JIAO TONG UNIV
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Problems solved by technology

However, these optimization methods can only achieve optimal design by changing the dimensional parameters of functional primitives such as wall thickness and angle on the basis of functional primitives with deterministic configurations, but cannot achieve optimal design by changing the topological configuration of functional primitives. More space to improve the mechanical propert

Method used

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  • A topology optimization method for arbitrary Poisson's ratio metamaterials
  • A topology optimization method for arbitrary Poisson's ratio metamaterials
  • A topology optimization method for arbitrary Poisson's ratio metamaterials

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Experimental program
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Embodiment 1

[0089]Step 1: In metamaterials, the division of functional primitive design areas

[0090] Such as figure 2 As shown, the size of the metamaterial design range is 210mm×150mm, which is divided into 5×5 functional primitive design areas, and the shape selected for this design area can be other shapes such as rectangle, triangle or circle.

[0091] Step 2: Finite element discretization of the design area and initialization of the optimization problem

[0092] select as image 3 The rectangle shown is used as the design area of ​​the functional primitive, and the size is 42mm×30mm. Further, as Figure 4 As shown, the rectangular design area is discretized into 84×60 finite element grids, and displacement constraints and loads are applied according to the actual working conditions (a concentrated force F is applied at the center of the upper and lower ends 1 =F 2 =1N), initialize the density of the functional primitive design area and the material properties of the unit (the ...

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Abstract

The invention provides a topology optimization forming method of arbitrary Poisson's ratio metamaterial, which comprises the following steps: step 1, dividing a functional unit design area in the metamaterial; 2, divide that functional basic element design region into finite element meshes and input the initial conditions of the optimization problem; 3, carry out finite element analysis and calculation on that functional design area to obtain the mechanical performance parameters of the finite element and the node; 4, establish a mathematical model of a metamaterial topology optimization design problem based on that mechanical property parameter of a finite element and a node; 5, solving a mathematical model of that topology optimization problem to obtain a topology optimization result; 6,extract that configuration of the topology optimization result for verification analysis; Step 7: Periodically repeat the ordering of the optimal configurations of the functional units to form the metamaterials. The invention can directly design a new configuration metamaterial with a specified Poisson's ratio value without specifying the geometrical topology configuration of the initial functional unit.

Description

technical field [0001] The present invention relates to the technical field of engineering material design, in particular to a topology optimization formation method of arbitrary Poisson's ratio metamaterials, in particular to a design method of arbitrary Poisson's ratio metamaterials based on topology optimization technology. Background technique [0002] Metamaterials have the characteristics of light weight, energy absorption, and vibration absorption, and have been widely used in the fields of national defense, transportation, and aerospace. Most of the existing research on metamaterials is to analyze the mechanical properties of metamaterials by means of experiments and simulations, and most of these research works are carried out based on metamaterials with conventional configurations. relatively lacking. The research conclusion in the literature "Findeisen C, Hohe J, Kadic M, et al.Characteristics of mechanical metamaterials based on buckling elements. Journal of the...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 秦浩星杨德庆
Owner SHANGHAI JIAO TONG UNIV
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