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.

Inactive Publication Date: 2009-07-29
SHANGHAI NORMAL UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

At present, there are three deficiencies in the three-dimensional solid modeling of toroidal worms: first, the modeling method is inaccurate, and serious overlap occurs during interference inspection; second, the constructed 3D solid has large errors and cannot be used fo

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  • Three-dimensional solid modeling method for toroid worm
  • Three-dimensional solid modeling method for toroid worm
  • Three-dimensional solid modeling method for toroid worm

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Embodiment Construction

[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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Abstract

The invention provides a three-dimensional (3D) solid modeling method for a toroidal worm, which has the advantages of simplicity, applicability, accuracy and the like, and the established model can truly reflect the motion profile of the toroidal worm. The method of the present invention establishes the parameter equation of the toroidal worm helix for the first time, and completes the configuration of the toroidal worm helix by applying MDT6.0 VBA secondary development environment programming, and then realizes the straight-profile toroidal worm and the flat package The 3D construction of the simulated entity of the toroidal worm. The method is simple, practical, accurate, truly reflects the motion profile of the toroidal worm, and is easy to form parametric design and solid modeling of the toroidal worm. It can provide accurate coordinate parameters for CNC machining of high-quality toroidal worms, and also lays a good foundation for subsequent research on the mechanical properties and manufacturing accuracy of various complex toroidal worms.

Description

technical field [0001] The invention relates to virtual manufacturing technology, in particular to a three-dimensional (3D) solid modeling method for a toroidal worm, and a toroidal worm manufactured by the modeling method. Background technique [0002] Virtual manufacturing technology is the key technology of advanced manufacturing mode in the 21st century. It can help enterprises to quickly update products according to market dynamics in fierce competition, reduce production costs, improve product quality, and thus win the competition. The toroidal worm has good transmission performance and strong bearing capacity, and its 3D entity plays an important role in the virtual manufacturing research of the cross-axis transmission mechanism. At present, there are three deficiencies in the three-dimensional solid modeling of toroidal worms: first, the modeling method is inaccurate, and serious overlap occurs during interference inspection; second, the constructed 3D solid has larg...

Claims

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Application Information

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IPC IPC(8): F16H55/02
Inventor 孙昌佑孙传文何凤琴
Owner SHANGHAI NORMAL UNIVERSITY
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