Method of forming the teeth of longitudinally curved tooth gears

A method of forming the teeth of longitudinally curved gears, said method comprising:

• mounting a work gear on a work support,
• mounting a dish-shaped tool on a tool support,
• rotating said dish-shaped tool about a tool axis passing substantially through the center of said dish-shaped tool and wherein said tool axis is inclined at an angle relative to the theoretical position of the axis of a cup-shaped cutter, said cup-shaped cutter axis being the theoretical axis of rotation of a cutting tool that would be required to form cut said teeth of said work gear,
• oscillating said dish-shaped tool with respect to said work gear, said oscillating being relative to said cup-shaped cutter axis,
• contacting said work gear with said rotating and oscillating dish-shaped tool, said dish-shaped tool having top-to-flank line contact with at least one side of a tooth of said work gear, said line of contact and said cup-shaped cutter axis forming an instantaneous radial plane,
• variably positioning said dish-shaped tool with respect to a radial line extending from said cup-shaped cutter axis to said line of contact, said radial line being substantially perpendicular to said cup-shaped cutter axis, said variably positioning comprising rotating said tool axis about said radial line to effect a pivotal movement of said dish-shaped tool about a point located in the vicinity of the tip of said dish-shaped tool, said rotating being in a timed relationship with said oscillating of said dish-shaped tool to define a working path of said dish-shaped tool,
• controlling said timed relationship to effect a relative change in pressure angle with respect to the relative angular displacement of said oscillating of said dish-shaped tool about said cup-shaped cutter axis.

A method of forming the teeth of longitudinally curved tooth gears, said method comprising:

• mounting a work gear on a work support,
• mounting a dish-shaped tool on a tool support,
• rotating said dish-shaped tool about a tool axis passing substantially through the center of said dish-shaped tool and wherein said tool axis is inclined at an angle relative to the theoretical position of the axis of a cup-shaped cutter, said cup-shaped cutter axis being the theoretical axis of rotation of a cutting tool that would be required to form cut said teeth of said work gear,
• oscillating said dish-shaped tool with respect to said work gear, said oscillating being relative to said cup-shaped cutter axis,
• contacting said work gear and said rotating and oscillating dish-shaped tool, said dish-shaped tool having top-to-flank contact with at least one side of a tooth of said work gear, said line of contact and said cup-shaped cutter axis forming an instantaneous radial plane,
• variably positioning said dish-shaped tool with respect to a radial line extending from said cup-shaped cutter axis to said line of contact, said radial line being substantially perpendicular to said cup-shaped cutter axis, said positioning comprising varying the position of said dish-shaped tool along said radial line, said variably positioning along said radial line being in a timed relationship with said oscillating of said dish-shaped tool for defining a working path of said dish-shaped tool,
• controlling said timed relationship to effect removal of a greater amount of stock material from one side of said teeth than from the other side of said teeth with respect to the relative angular displacement of said oscillating of said dish-shaped tool about said cup-shaped cutter axis.

A method of forming the teeth of longitudinally curved tooth gears, said method comprising:

• mounting a work gear on a work support,
• mounting a dish-shaped tool on a tool support,
• rotating said dish-shaped tool about a tool axis passing substantially through the center of said dish-shaped tool, and wherein said tool axis is inclined at an angle relative to the theoretical position of the axis of a cup-shaped cutter, said cup-shaped cutter axis being the theoretical axis of rotation of a cutting tool that would be required to form cut said teeth of said work gear,
• oscillating said dish-shaped tool with respect to said work gear, said oscillating being relative to said cup-shaped cutter axis
• contacting said work gear with said rotating and oscillating dish-shaped tool, said dish-shaped tool having top-to-flank line contact with at least one side of a tooth of said work gear, with said line of contact and said cup-shaped cutter axis forming an instantaneous radial plane,
• variably positioning said dish-shaped tool with respect to a line tangent to the lengthwise direction of a tooth at said line of contact, said positioning comprising varying the position of said dish-shaped tool along said tangent line, said varying along said tangent line being in a timed relationship with said oscillating of said dish shaped tool for defining a working path of said dish-shaped tool,
• controlling said timed relationship to effect removal of an amount of stock material from one side of said teeth along said tangent line while causing substantially the same amount of stock material to be left on the other side of said teeth with respect to the relative angular displacement of said oscillating of said dish-shaped tool about said cup-shaped cutter axis.