Herringbone gear pair with constant meshing characteristics constructed tooth pair

A herringbone gear pair with a constant meshing characteristics constructed tooth pair, comprising a herringbone gear I with a constructed tooth pair based on conjugate curves and a herringbone gear II with a constructed tooth pair based on conjugate curves, wherein a normal tooth profile curve Γs1 of the herringbone gear I with a constructed tooth pair and a normal tooth profile curve Γs2 of the herringbone gear II with a constructed tooth pair are continuous combined curves ΓL with the same curve shape;

• the continuous combined curve is formed by two continuous curves, a connection point of the two continuous curves is an inflection point or a tangent point of the continuous combined curve, and a common normal at the inflection point or the tangent point of the continuous combined curve passes through a pitch point of the herringbone gear pair;
• and the normal tooth profile curves are swept along given conjugate curves to obtain tooth surfaces of the herringbone gear I with a constructed tooth pair and the herringbone gear II with a constructed tooth pair;
• wherein when the continuous combined curve ΓL is a combined curve ΓL1 of an odd power function curve and a tangent at an inflection point thereof, the continuous combined curve ΓL is formed by an odd power function curve ΓL12 and a tangent ΓL11 at an inflection point of the odd power function curve;
• a rectangular coordinate system is established at the tangent point of the continuous combined curve, and an equation of the combined curve ΓL1 of the odd power function curve and the tangent at the inflection point thereof is as follows:
• {
• Γ
• L
• ⁢
• 1
• ⁢
• 1
• :
• x
• 1
• ⁢
• 0
• =
• t
• ,
• y
• 1
• ⁢
• 0
• =
• 0
• (
• t
• 1
• ≤
• t
• <
• 0
• )
• Γ
• L
• ⁢
• 1
• ⁢
• 2
• :
• x
• 1
• ⁢
• 0
• =
• t
• ,
• y
• 1
• ⁢
• 0
• =
• A
• ⁢
• t
• 2
• ⁢
• n
• -
• 1
• (
• 0
• ≤
• t
• ≤
• t
• 2
• )
• ,
• wherein x10 and y10 are x-axis and y-axis coordinate values of the combined curve in the rectangular coordinate system, respectively;
• a parameter t is an independent variable of the equation;
• t1 and t2 are value ranges of the continuous curve;
• A is a coefficient of the equation;
• and n is a degree of the independent variable and is a positive integer.