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**Asymmetric modified spur gear drives: Reduction of noise, localization of contact, simulation of meshing and stress analysis.**
*(English)*
Zbl 0979.74053

Summary: An asymmetric spur gear drive is considered. The asymmetry means that larger and smaller pressure angles are applied on driving and coast sides, respectively. The conventional design of such a drive is based on the application of involute profiles. We propose a modified geometry of an asymmetric spur gear drive, designed as a combination of an involute gear and a double crowned pinion that enables to localize and stabilize the bearing contact and to obtain a favorable shape of transmission errors of reduced magnitude. We develop the computerized design of spur gears of proposed geometry, and perform the simulation of their meshing and contact. A method of generation of a double-crowned pinion has been developed together with the stress analysis of symmetric and asymmetric spur gears, that confirms reduction of contact and bending stresses for an asymmetric spur gear drive. The theory is illustrated with numerical examples.

### MSC:

74M15 | Contact in solid mechanics |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

### Keywords:

reduction of noise; localization of contact; asymmetric spur gear drive; involute gear; double crowned pinion; stress analysis### Software:

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\textit{F. L. Litvin} et al., Comput. Methods Appl. Mech. Eng. 188, No. 1--3, 363--390 (2000; Zbl 0979.74053)

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### References:

[2] | Andrews, J. D., A finite element analysis of bending stresses induced in external and internal involute spur gears, J. Strain Anal., 26, 3, 153 (1991) |

[3] | Argyris, J. H., Three-dimensional anisotropic and inhomogeneous media-matrix analysis for small and large displacements, Ingenier Archiv., 34, 33-35 (1965) · Zbl 0131.39502 |

[4] | Argyris, J. H., Energy Theorems and Structural Analysis (1960), Butterworths: Butterworths London |

[9] | Litvin, F. L., Gear Geometry and Applied Theory (1994), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ |

[11] | Ramamurti, V.; Vijayendra, N. H.; Sujatha, C., Static and dynamic analysis of spur and bevel gear using FEM, Mech. Mach. Theory, 33, 8, 1177-1193 (1998) · Zbl 1052.70538 |

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