Curve conjugation based symmetrical cambered surface conjugate curve gears and engagement pair thereof

The invention discloses curve conjugation based symmetrical cambered surface conjugate curve gears and an engagement pair thereof. The engagement pair comprises a gear I and a gear II, wherein the gear I and the gear II are engaged with each other in a point contact mode, and a contact curve gamma 1 which is composed of engagement points on a tooth profile cambered surface of the gear I and a contact curve gamma 2 which is composed of engagement points on a tooth profile cambered surface of the gear II are conjugate curves. According to the engagement pair of the curve conjugation based symmetrical cambered surface conjugate curve gears, the contact curve gamma 1 of the gear I and the contact curve gamma 2 of the gear II which form the engagement pair are conjugate curves, and engagement points between the gear I and the gear II move along contact curves; the engagement pair has the advantages of point contact engagement, tooth profiles of point contact have the high contact strength, the contact transmission process is close to pure rolling along the axial direction, and the transmission efficiency is high; and the selection and the determination of the small tooth number and the large modulus can be achieved on the conditions of the same transmission ratio and the same center-to-center distance, the transmission requirements of high speed, heavy load, high power and high efficiency can be met, and the engagement pair has broad application prospects.