Abstract

Aimed at some questions of the rotated gear in the conventional steam turbine center, such as the uneven force and local stress concentration along the radial direction of the gear, based on governing equations and Stodola's mathematical model, this study made use of the idea of partial differential equations to make axisymmetric and uniform thickness gear modeling under constraint conditions of specified gear mass and moment of inertia and optimization algorithm is used to obtain the thickness profile that results in a radial stress distribution that is as even as possible. The maximum radial stress via the optimization design of the gear decreases by about 25% in contrast with the maximum radial stress of the gear with the even thickness profile.

Highlights

  • The weight of the gear, the contour shape and the stability of the gear affect the performance most of the machine with gears

  • In the case of giving constraint condition of the mass and moment of inertia of the gear, we use the finite element techniques to optimize design the unevenness of traditional gear design and local stress concentration, control by partial differential controlling equations module and the optimization of the design module to establish the mathematical model of the optimized design of the gear profile

  • That the model in this study is used to solve the problem which is in the case of a given quality of a gear and the moment of inertia, how to make a full use of the existing materials to design the contour shape of the gear, make the gear radial stress along the radial uniform distribute

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Summary

Introduction

The weight of the gear, the contour shape and the stability of the gear affect the performance most of the machine with gears. In the case of giving constraint condition of the mass and moment of inertia of the gear, we use the finite element techniques to optimize design the unevenness of traditional gear design and local stress concentration, control by partial differential controlling equations module and the optimization of the design module to establish the mathematical model of the optimized design of the gear profile.

Results
Conclusion

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