Processing method of TPMS structure with continuous gradient wall thickness based on 3D printing
A technology of 3D printing and processing methods, applied in 3D modeling, instruments, design optimization/simulation, etc., to achieve wide selection and good control effect
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[0031] Step 1, this embodiment takes the Schwarz P minimal surface as an example, such as figure 1 As shown, the initial surface equation is:
[0032] f P (x, y, z) = cos x + cos y + cos z = 0;
[0033] Then take the structure in a 2π×6π×2π cube, namely x∈(-π,π), y∈(-3π,3π), z∈(-π,π), and choose the thickening function T P (x, y, z)=0.1y+1.2, that is, on the basis of the initial curved surface, the amount of thickening will gradually increase along the y direction, and the whole is a curved surface structure with continuous gradient wall thickness and minimal thickness.
[0034] The normal vector is:
[0035]
[0036] The two thickened corresponding point set relational expressions are:
[0037]
[0038]
[0039] The two point sets obtained above are respectively substituted into the Schwarz P minimal surface equation, and the two surface equations of gradient wall thickness can be obtained, respectively:
[0040]
[0041] Step 2, using the point set obtaine...
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