Research On Curve-Surface Conjugate Theory Of Involute Planetary Transimission With Small Tooth Difference

Involute planetary transmission with small tooth difference is widely used in mechnical engineering for its advantages such as high transmission ratio, compact structure, detachable central distance, developed processing technology, convexo-concave mating surface, low contact press, high bearing capacity etc. This thesis will mainly study the curve-surface conjugate meshing theory of the involut planetary transimission with small tooth differenc. It is of important theoretic significance and practical value for reducing the slippage of meshing pair and improving the characteristics of transmission, etc.Major contents of the thesis as follows:①The involute curve-surface conjugate theory was proposed according to the gear geometry theory interrelated; the tooth profile contact lines'equations and meshing equations of the involute curve-surface conjugate meshing pair with small tooth difference were deducted; It was demonstrated that the meshing process of the involute curve-surface conjugate pair was point-contact and can keep the advantages of the conventional involute pair such as the detachability of the center distance etc.for its end plane projection was still conventional involute pair.②A new tubular tooth profile surface named meshing tube was proposed to substitute the involue tooth surface of the planetary gear; the involute tubular tooth profile equation was established; And the meshing characteristic between the meshing tube and the conjugate surface were disscussed.③Based on the definition of the slip ratio between the meshing pair, a new method that the slip ratio could be resolved by the conjugate equation was proposed; Both the tranditial involute conjugate and the curve-surface conjugate meshing pair's slip ratio equation were deducted; Conpared with the trandital involute meshign pair, the maximal slip ratio of the curve-surface meshing pair has been almost 100 times reduced. Further more, the effect from the value difference of tooth profile parameter to the slip ratio is disscused.④According to the result of theoretical research, the design methodology of the involute curve-surface conjugate planetary transimission with small tooth difference was put forward and an example was followed; The parameterization modelling method based on PROE was carried out. ⑤Both the tranditial involute surface-surface conjugate and the curve-surface conjugate meshing pair's finite elements contact models were built; The analysis result of the contact pair rosolved in ANSYS was compared.