Calculation method development for marking-off in process of processing plate parts
A calculation method and technology of parts, applied in the direction of calculation, 2D image generation, image data processing, etc., can solve the problems of difficulty in ensuring the accuracy of parts and cannot be separated, and achieve high accuracy, good practicability, and reduce labor intensity. Effect
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Embodiment 2
[0077] painted Figure 11a and 11b The development of the given surface, so that the plate seams are on the plane of symmetry, and the area of the development is calculated.
[0078] 2-1 Analysis
[0079] 1. The oblique conical surface given is a conical surface and is a simple single surface. Establish the coordinate system 0-xyh as shown in the figure. The connection line between any point N on the bottom circumference and the top S of the cone SA , are the prime lines on the surface;
[0080] 2. Taking the position angle ω of point N as a parameter, then x N = R cos ω,y N = R sin ω;
[0081] 3. The distance between adjacent control points on the bottom circumference △S= NN' = 2R sin ( ). (ω'—the position angle of the previous control point N') can be used as the apex angle of the base triangle θ N = Parameters of ∠NSN’, θ N = cos -1 [{L N 2 +L N ' 2 - (2R sin ) 2}÷(2L N L N ’)], if 12 equally divided control points are taken on the bo...
Embodiment 3
[0104] painted Figure 15a and 15b Unfold the given surface and calculate the area.
[0105] 3-1 analysis
[0106] 1. The given surface is an oblique cylindrical surface, which is a kind of cylindrical surface. It is a simple surface. The characteristics of the cylindrical surface are: 1. It has two parallel and congruent bottom surfaces. 2. The prime lines are equal to the axis line ( L = ) and parallel, so it has the characteristics of expansion: a needs to establish an auxiliary coordinate system 0’-x’y’ on the upper bottom surface, such as Figure 16 , b expanded sub-triangles have two types of triangles with upper and lower bases, and any two adjacent triangles with upper and lower bases form a parallelogram. n =ω N , with x nz =x NZ , all prime lines of d are parallel to the expansion reference line——y Z axis, therefore, the two angles of each sub-triangle on the prime line side can be used as expansion angles, (referred to as the upper and lower base angles ...
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