Abstract
The most requirements forwarded by the beneficiaries of mechanical transmissions consists in increasing reliability, efficiency and loaded capacity. The target problem can be solved with special effects by developing new types of multipliers based on planetary precessional transmissions with multiple gear, that were developed by the authors. Absolute multiplicity of precessional gear (up to 100% pairs of teeth simultaneously involved in gearing, compared to 5%-7% - in classical gearings) provides increased loaded capacity and small mass and dimensions. Teeth profiles have an important role in the efficient transformation of motion in the precessional transmissions. Under this aspect the paper presents the analytic description of teeth nonstandard profile.
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