Method for constructing relative density function of bionic hierarchical honeycomb 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 avoid lower strength and improve bearing performance.
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Embodiment 1
[0023] Such as Figure 1-4 As shown, a method for constructing a relative density function of a bionic hierarchical honeycomb sandwich structure is characterized in that it comprises the following steps:
[0024] Step 1: According to the evolution process of the bionic hierarchical honeycomb sandwich structure, construct the geometric dimension relationship of the honeycomb sandwich structure at each level;
[0025] Step 2: Select representative honeycomb-like sandwich structures of each level, which can be copied and arranged to form unit-cell and multi-level honeycomb-like sandwich structures, and take them as the research object of relative density formula derivation;
[0026] Step 3: Solve the mass m of the honeycomb sandwich structure of different levels respectively i and the equivalent mass m of the honeycomb sandwich structure of each level ce ;
[0027] Step 4: Use the principle of mass conservation before and after the equivalent of the bionic hierarchical honeyco...
Embodiment 2
[0033] According to the principle of unit cell, choose such as 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 shown is used as the research object for the derivation of the relative density function.
[0034] Deduce the relative density of the 0-level 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, in mm; l is the height of the cell body, in mm; h 0 and b 0 Respectively, the quadrilateral side length and octagonal side length of the 0-level honeycomb sandwich structure, 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 mass ...
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