Generating method of finite element mesh in thin-wall curved surface structure
A technology for surface structure and mesh generation, which is used in special data processing applications, instruments, electrical digital data processing, etc.
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Embodiment 1
[0059] Example 1: Thin-walled conical surface structure with holes.
[0060] There are 12 cyclically symmetric holes on the thin-walled conical surface structure. The basic parameters are shown in Table 1.
[0061] Table 1
[0062]
[0063]
[0064] (a) According to the geometric characteristics of the conic surface structure, establish the parameter equation of its one-twelfth unit cell structure:
[0065] x = 200 ( 1 - t ′ ) cos ( 1.4999 s ′ ) y = 200 ( 1 - t ′ ) sin ( 1.4999 s ′ ) z = 300 t ′ , 0 ≤ s ′ ≤ 0.3491,0 ≤ t ′ ≤ 1 . - - - ( 14 )
[0066] Thus, the s-t parameter plane is established, and the rectangular mapping domain on the s-t plane with a width of 0.3491 and a length of 1.
[0067] (b) The one-twelfth unit cell structure of the thin-walled conical surface is a three-sided surface structure, so the actual plane mapping doma...
Embodiment 2
[0081] Example 2: Thin-walled hemispherical surface structure with holes.
[0082] There are 4 cyclically symmetrical holes on the thin-walled hemispherical surface structure. The basic parameters are shown in Table 2.
[0083] Table 2
[0084]
[0085] (a) According to the structural characteristics of the cyclic symmetry of the thin-walled hemispheric surface structure with holes, the parameter equation of the quarter cell structure is established:
[0086] x = 300 cos 0.5 πt ′ cos 0.5 πs ′ y = 300 cos 0.5 πt ′ sin 0.5 πs ′ z = 300 sin 0.5 πt ′ , 0 ≤ s ′ , t ′ ≤ 1 . - - - ( 19 )
[0087] Thus, the s-t parameter plane is established, and the rectangular mapping domain with width 1 and length 1 on the s-t plane is established.
[0088] (b) The thin-walled hemispherical surface unit cell structure with a hole is a three-sided surface structure, so the actual plan...
Embodiment 3
[0102] Example 3: Thin-walled cylindrical curved sheet structure with holes (free mesh).
[0103] There is a hole in the structure of a thin-walled cylindrical surface sheet, and its basic parameters are shown in Table 3.
[0104] table 3
[0105]
[0106]
[0107] (a) Establish a parameterized equation for the structure of the thin-walled cylindrical surface sheet in space:
[0108] x = 400 cos ( 2.5 s ′ ) y = 400 sin ( 2.5 s ′ ) z = 1000 t ′ , 0 ≤ s ′ , t ′ ≤ 1 . - - - ( twenty four )
[0109] Thus, the s-t parameter plane is established, and the rectangular mapping domain with width 1 and length 1 on the s-t plane is established.
[0110] (b) The cylindrical surface patch has a four-sided surface structure, and the actual planar mapping domain is selected as a rectangle.
[0111] (c) At this time, the rectangular mapping domain is the actual mapping domain of the cylind...
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