Abstract

Based on the basic law of flat interlocking, the paper considers a possibility of increasing the gear ratio of low module involute cylindrical planetary gears by using asymmetric tooth profile for the purposes of measuring devices. An example of the synthesis of such reduction gearing by optimal choice of asymmetry between the profiles and Possibility of generation III is presented. Also presented is a planar matching of the unconditional existence areas in the field of independent coefficients of instrument displacement by the straight optimization method and pre-set qualitative indicators of the gearing.

Highlights

  • With large gear ratios in precision engineering gears with combined gearing – internal and external are used. These are the epicyclical gear drives, of which the most widely spread is the kinematic scheme of 2K-H involute cylindrical gear with symmetrical tooth profile and different number of steps [1] [2] [3]

  • Gear 2 engaged with units 1 and 3 does not affect the gear ratio from shaft I to shaft II and is called a satellite wheel

  • If we adopt the concept of “complex” unconditional area of existence in planetary gears with asymmetric tooth profile, we find that there are two such areas which depend on the driving mechanism

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Summary

Tsanko Karadzhov Department of Mechanical and Precision Engineering

Abstract - Based on the basic law of flat interlocking, the paper considers a possibility of increasing the gear ratio of low module involute cylindrical planetary gears by using asymmetric tooth profile for the purposes of measuring devices. An example of the synthesis of such reduction gearing by optimal choice of asymmetry between the profiles and Possibility of generation III is presented. Presented is a planar matching of the unconditional existence areas in the field of independent coefficients of instrument displacement by the straight optimization method and preset qualitative indicators of the gearing

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