Minimização da variação do erro de transmissão de pares engrenados atraves da modificação da superficie dos dentes / Minimization of transmission error excitation of gear pairs through tooth surface modification

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

Noise that comes from geared systems can be annoying, and in some cases unacceptable by users of those systems. Gear noise is dose to pure tone, presents high amplitude, and its frequency is near to most sensitive region of human ear. Transmission error (TE) excitation is recognized as one of the main sources of gear noise and vibration. It is well-known that TE excitation can be reduced by modifying tooth surfaces. Usually, tooth modifications are defined based on trial and error methods, or based on existent gear sets. Although there are some methods to calculate TE, a simple method to define the tooth modifications that mini mize the TE excitation is still unknown. Existent methods are based on exhaustive search of solution, or based on optimization procedures that. can end up in non practical solutions. In this work, an e:ffi.cient method to determine the tooth profile modification to minimize the TE excitation was developed. The proposed method defines the optimal modifications by solving a particular shape optimization problem with contact using an iterative procedure based on aptimal criteria approach. Initial modification results are converted to pre-defined functions by solving a curve fitting problem using a sequential quadratic programming. This assuresa worthy solution from the practical engineering viewpoint. Three different helical gear pairs were used to carry out numerical analysis in order to verify the proposed method. The results af the numerical analysis showed that the proposed method is efficient in solving this kind of problem. Significant reductionas on TE excitation were achieved for all three cases of study. The optimization procedure can be used as a useful design tool for gear design and development.

ASSUNTO(S)

modified tooth surfaces projetos mecanicos gear optimization transmission error peças de maquinas engrenagens - ruido automoveis - dispositivos de transmissão engrenagens

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