A construction method of relative density function of bionic hierarchical honeycomb-like sandwich structure
A honeycomb sandwich structure, relative density technology, applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc. application and other issues to achieve the effect of improving bearing performance and avoiding low strength
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Embodiment 1
[0023] like Figure 1-4 As shown in the figure, a method for constructing a relative density function of a bionic hierarchical honeycomb sandwich structure is characterized by comprising the following steps:
[0024] Step 1: According to the evolution process of the bionic hierarchical honeycomb sandwich structure, the geometrical dimension relationship of each hierarchical honeycomb sandwich structure is constructed;
[0025] Step 2: Select representative honeycomb-like sandwich structures of various levels, and can form unit cells and multi-cellular hierarchical honeycomb-like sandwich structures by replicating and arranging them, and use them as the research object for the derivation of the relative density formula;
[0026] Step 3: Calculate the mass m of different levels of honeycomb sandwich structures respectively i and the equivalent mass m of the honeycomb sandwich structure at each level ce ;
[0027] Step 4: Use the principle of mass conservation before and after...
Embodiment 2
[0033] According to the unit cell principle, choose figure 2 The square unit cell shown, due to the complexity and symmetry of its structure, will be as Figure 4 The fishbone-like 1 / 4 sandwich structure is shown as the research object for the derivation of the relative density function.
[0034] Derive the relative density of grade 0 honeycomb-like sandwich structure:
[0035] The volume enclosed by the cell body is:
[0036]
[0037] In the formula: t is the thickness of the sandwich cell wall, the unit is mm; l is the height of the cell body, the unit is mm; h 0 and b 0 They are the quadrilateral side length and the octagonal side length of the 0-level honeycomb-like sandwich structure, and the unit is mm.
[0038] The mass of the cell body is:
[0039]
[0040] In the formula: ρ s is the density of the sandwich structure, in kg / m 3 ;
[0041] The volume of the quadrilateral enclosed by the equivalent solid model of the cell body is:
[0042]
[0043] The...
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