Step-by-step algorithm for the simulation of a faulted gearbox

This paper focuses on the simulation of expected vibration signal of a faulted gearbox. The main mechanical components simulated are ball bearings and ordinary gears. In a previous work [1] the authors presented a step-by-step algorithm for the simulation of faulted bearings. In this paper the model has been extended to include ordinary gears and their most common faults, such as pitting or crack on a tooth, the presence of backlash or bent shafts. Regarding the ball bearings model, the simulation takes into account the selection of the location of the fault's type, the stage of the fault, cyclostationarity of the signal, random contributions, deterministic contributions, eects of resonances in the machine and working conditions. Although several detailed models are available in literature, the scientic papers just outline the theoretical foundations of assumptions and features of the model - as supposed - leaving to the reader the task of converting all the procedure in lines of code. This is in contrast with the idea of "reproducible research", which posits the possibility of being able to reproduce the proposed procedure and verifying the conclusions of the paper. As soon as the model is veried by scientic community, it could be used as preliminary test-bench, for the validation of new diagnostics techniques that the reader could develop in the future. This project has been developed under a Creative Commons license (Attribution-ShareAlike 4.0 International). The reader could freely and immediately use to simulate dierent faults and dierent operating conditions on ordinary gearbox. The script is provided for the open- source Octave environment. The output signal is nally analyzed to prove the expected features. [1] G. D'Elia, M. Cocconcelli, E. Mucchi, R. Rubini and G. Dalpiaz, Step-by-step algorithm for the simulation of faulted bearings in non-stationary conditions, ISMA 2016, Leuven, Belgium, 19-21 September 2016.