Helical gear with Fibonacci helix tooth form

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 ...

AI Technical Summary

Problems solved by technology

However, for involute gears, since the radius of curvature is limited by the size of the gear, it has been difficult to meet the increasing demands of high speed and heavy load.

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