Helical gear with Fibonacci helix tooth form

A technology of helical cylindrical gears and helical wires, applied to components with teeth, belts/chains/gears, portable lifting devices, etc., can solve problems such as difficult to meet high-speed and heavy-duty requirements

Inactive Publication Date: 2013-08-28
ZHEJIANG UNIV +1
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Problems solved by technology

However, for involute gears, since the radius of curvature is limited by the size of the

Method used

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  • Helical gear with Fibonacci helix tooth form
  • Helical gear with Fibonacci helix tooth form
  • Helical gear with Fibonacci helix tooth form

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[0026] The present invention will be further described below in conjunction with the drawings and embodiments.

[0027] Such as figure 2 As shown, the tooth profile of the end face of the cylindrical gear of the present invention from the root circle to the addendum circle is a Fibonacci spiral tooth profile, that is, a section of the pressure angle a=17°-28° is a Fibonacci spiral.

[0028] Such as figure 1 , figure 2 As shown, the Fibonacci spiral is a series of quarter arcs with the Fibonacci sequence as the radius value connected back and forth. The Fibonacci spiral is calculated by the following formula (1).

[0029] x = cos ( θ + π 2 n ) F n + x n ′ y = sin ( θ + π 2 n ) F n + y n ′ , θ A [ 0 , π 2 ] - - - ( 1 )

[0030] The x and y in formula (1) are the abscissa and ordinate values ​​of any point A (x, y) on the Fibonacci spiral respectively, and t...

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Abstract

The invention discloses a helical gear with a Fibonacci helix tooth form. The tooth form of an end face of the helical gear from a root circle to an addendum circle is the Fibonacci helix tooth form, namely a section with a pressure angle a=17-28 degrees is the Fibonacci helix. Compared with an involute tooth form with the identical pitch diameter, the Fibonacci helix tooth form has large radius of curvature, so that contact stress can be reduced effectively, contact fatigue strength of the gear is improved, the service life of the gear is prolonged, and gear load-bearing capacity is improved. Compared with an involute tooth form with the identical radius of curvature, the pitch radius of the Fibonacci helix tooth form is smaller, so that the gear size is small, the weight is small, the rotational inertia is small when the gear rotates at high speed, the noise is low, operation is stable, and the high-speed requirement of the gear can be well met. According to the Fibonacci helix tooth form, the tooth width is limited, overlapping ratio of the Fibonacci helix tooth form can be improved, and continuous meshing conditions of the gear are guaranteed. Meanwhile, meshing contact area is increased, and gear load-bearing capacity is improved.

Description

technical field [0001] The invention relates to a gear for transmitting motion, in particular to a helical spur gear with a Fibonacci spiral tooth shape. Background technique [0002] With the development of mechanical equipment towards heavy load and high speed, it has become an urgent problem to reduce the size of machine parts and improve its carrying capacity. As we all know, the larger the radius of curvature of the gear meshing point, the smaller the contact stress and the higher the load-bearing capacity of the gear. On the other hand, in order to ensure the stability of its high-speed operation, the size of the gear should not be too large. However, for involute gears, since the radius of curvature is limited by the size of the gears, it has been difficult to meet the increasing demands of high speed and heavy load. Therefore, how to develop a new tooth shape to make the radius of curvature as large as possible under the condition of a certain gear size is the key ...

Claims

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Application Information

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IPC IPC(8): F16H55/08F16H55/17
Inventor 金亭亭冯兰兰汪久根吴长鸿
Owner ZHEJIANG UNIV
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