This paper details an investigation of the relationship between the static individual torsional mesh stiffness and the static transmission error of gears in mesh. The investigations of the individual torsional mesh stiffness are one of the fundamental concepts in gear analysis and behaviour that have been used in recent years for predicting transmission error. The research work for this paper has two main parts. The first part involved measuring the static transmission error of gears through a series of experiments. An existing test rig was used for the experimental investigation where a nylon gear was placed in mesh with a fixed aluminium gear under various torques. Measurements of the rotation of the nylon gear at precise angular positions throughout the mesh cycle were used as a basis for determining the torsional mesh stiffness and the static transmission error. The second part involved the use of numerical analysis tools (FEA) to calculate the theoretical static transmission error and the individual torsional mesh stiffness in the same conditions as the experiments. The validity of the theory of individual torsional mesh stiffness was investigated, through a comparison between the experimental results and the FEA modelling results. The work included experiments, finite element analysis modelling, and statistical data analysis. The final results of this paper showed that individual torsional mesh stiffness theory can effectively predict transmission error in gear transmission systems, however some improvements need to be made to both the theory and the experiments.

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