Method for modelling straight-toothed or helical non-cylindrical gear
A modeling method, non-cylindrical technology, applied in 3D modeling, special data processing applications, image data processing, etc., can solve complex and tedious work, difficult to master, cumbersome mathematical calculations and other problems
Inactive Publication Date: 2012-12-19
SHANGHAI NORMAL UNIVERSITY
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Problems solved by technology
To carry out computer-aided design, a three-dimensional geometric model of the gear is first required. The current common modeling methods for spur and helical non-cylindrical gears are mainly completed by using existing large-scale commercial software or secondary development of large-scale commercial software. This modeling method requires cumbersome mathematical calculations, and each modeling can only build a model for a single specific type of gear, and cannot be used for the construction of other types of spur and helical non-cylindrical gears. For example models for involute gears cannot be used for cycloid gears
In addition, each modeling of a different type of straight or helical non-cylindrical gear requires specific three-dimensional modeling according to actual specific requirements, which requires the designer to have high professionalism in gear and software knowledge, the work is complex and cumbersome, and difficult to master, so a unified and simple 3D modeling method for gears is urgently needed
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no. 1 example 1
[0034] The first embodiment of the present invention is a modeling method of an involute oval spur non-cylindrical gear, which includes the following steps:
[0035] (1) Create a tooth profile curve parameterization module, and select the following parameter equation to complete the gear tooth surface surface
[0036] draw:
[0037]
[0038]
[0039] z=u+lcosγ
[0040] in,
[0041]
[0042] cos γ = tan β cos α,
[0043] cos λ = cos α sin γ ,
[0044]
[0045] u ( θ ) = ∫ 0 θ rdθ tan β ,
[0046]
[0047]
[0048] At the same time, the oval nodal curve is
[0049]
[0050] p=a(1-e ...
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The invention discloses a method for modelling a straight-toothed or helical non-cylindrical gear, comprising the following steps of: (1) using a computer to establish a tooth profile curve parameterized module; performing a gear tooth surface curve through a gear profile curve set or a cloud point in a part environment; (2) establishing the entity of each gear tooth one by one in the part environment; (3) establishing a non-cylindrical entity of a gear tooth base in the part environment; and (4) mixing the gear tooth and the non-cylindrical entity of the gear tooth base; and finishing so as to obtain an integral virtual three-dimensional gear simulation entity. The invention provides a universal method for modelling straight-toothed and helical non-cylindrical gears, which is simple and easy to learn. The method is applicable for building the three-dimensional entity model of various types of different straight-toothed or helical non-cylindrical gears.
Description
technical field [0001] The invention relates to a modeling method of transmission parts, in particular to a method for modeling straight or helical non-cylindrical gears by using the powerful secondary development function of computer drawing software. Background technique [0002] Non-cylindrical gears with straight or helical teeth are one of the most basic parts used to transmit parallel axis motion and power in the mechanical field, and are widely used in various mechanical equipment such as mining, metallurgy, construction and transportation. With the rapid development of computer technology, the design and manufacture of gears is developing towards the direction of computer-aided design, manufacture, analysis and measurement. To carry out computer-aided design, a three-dimensional geometric model of the gear is first required. The current common modeling methods for spur and helical non-cylindrical gears are mainly completed by using existing large-scale commercial sof...
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IPC IPC(8): G06F17/50G06T17/00
Inventor 林菁
Owner SHANGHAI NORMAL UNIVERSITY