Three-dimensional solid modeling method for toroid worm
A toroidal worm, solid modeling technology, applied to components with teeth, portable lifting devices, belts/chains/gears, etc. In-depth research on accuracy, inaccurate modeling methods, etc.
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[0021] The toroidal worm helix is the key element of various toroidal worm virtual simulation entity modeling and in-depth practical research. After a lot of drawing practice and rigorous theoretical derivation, the inventor established the parametric equation of the toroidal worm helix for the first time. The process of establishing the parametric equation is described in detail below.
[0022] Theoretically, the helix of the toroidal worm can be regarded as the intersection line of two space surfaces, one of which is a circular rotating surface that rotates around the Z axis expressed by equation (1), and the other is expressed by equation (2) The cylindrical positive helicoid that rotates around the Z axis is expressed, and the equations (1) and (2) are the general analytical equations of the toroidal worm helix. Simultaneously solving the equation solutions of these two surface equations can obtain the torus worm helix.
[0023] [±(x 2 +y 2 ) 1 / 2 -(d 1 +d 2 ) / 2〕 2...
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