A Reconfigurable Mechanism Structure Basic Morphological Construction Method
A construction method and mechanical structure technology, applied in the field of basic geometry modeling, can solve the problems of complex information processing, unfavorable model simplification, etc., and achieve the effect of retrieval and reuse
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Embodiment 1
[0028] see figure 1 , when the basic body is a swept solid, construct the swept base 11 , contour constraint line 12 and swept guide 13 according to the features of the swept solid. During the movement of the sweeping base surface 11 along the sweeping wire 13 , the tangent L of the sweeping wire 13 at any moment (time t) t with centroid C t to contour track point A t connection C t A t angle, and at any moment the tangent L t The included angle with the swept base surface at this time is always constant. Therefore, the position and contour of the swept base surface 11 at time t are defined by the homogeneous coordinate transformation matrix T=T 1 T 2 T 3 T 4 OK, where T 1 Indicates the centroid C of the swept base surface 11 at the initial moment 0 The transformation matrix that translates to the origin of coordinates, let C 0 The point coordinates of (x 0 ,y 0 ,z 0 ),but T 2 Represents the proportional scaling transformation matrix of the sweeping base surf...
Embodiment 2
[0033] see figure 2 , when the basic body is a pyramid, the pyramid model described in this embodiment is constructed by moving the pyramid base surface 21 along the pyramid wire 23 under the constraints of the pyramid outline constraint line 24 . Because the pyramid conducting wire 23 is a straight line, and is coplanar with the pyramid outline constraint line 24, thereby the pyramid base surface 21 is in the sweeping motion process, the pyramid sweep surface 22 at any moment is all parallel to the pyramid base surface 21 , correspondingly the line connecting the centroid of the base surface and the contour locus points is also parallel, that is, the rotation angle θ of the base surface 1 , θ 2 , θ 3 Both are 0.
[0034] In the present embodiment, the sweep time period is normalized to [0,1], then the scale factor in the transformation matrix of the pyramid sweep surface 22 According to the spatial analytic geometric relationship, the scale factor can be directly expres...
Embodiment 3
[0037] see image 3 , when the basic body is a sphere, the sphere described in this embodiment is constrained by the sphere contour constraint line 34 from the sphere base surface 35 to the end point A at the same time along the sphere wire 33 n and A n ’ Motion composition. Since the spherical wire 33 is a straight line and coplanar with the spherical contour constraint line 34, the negative direction sweep surface 31 and the positive direction sweep surface 32 of the spherical base surface 35 at any moment during the sweeping motion process are all aligned with the spherical base surface 35. Parallel, the line connecting the corresponding geocenter and the contour locus points is also parallel, that is, the rotation angle θ of the base plane 1 , θ 2 , θ 3 Both are 0.
[0038] In this embodiment, the sweep time period is normalized to [0, 1], then the scale factor in the transformation matrix of the swept surface of the sphere It can be seen from the spatial analytic g...
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