Analytischer Ansatz und dynamische Tests für die Optimierung von Zahnräderprofil: Maximierung der Leistung

With this paper we have tried to find, experimentally, the stress values of mating teeth as a function of the optimum profile form of a wheel tooth. The optimum form is that which can guarantee a specific tooth sliding which is minimised or, at least theoretically, moving towards to zero for the two wheels. The problem was formulated for the purpose finding an action curve form which would minimise the specific tooth sliding, and from this proceed to the corresponding profiles. The importance of having a minimum, or theoretically zero, specific sliding rests in the fact that it would reduce the due to sliding. In fact, according to Reye’s classic hypothesis, the volume of material removed due to wear is proportional to the friction work, and as this depends on the relative sliding and therefore the specific sliding, the reduction of specific sliding has as a consequence the reduction of material lost due to wear. Reducing the friction work which results from the reduction of relative sliding and, therefore, specific sliding, leads to an improvement in performance. This improved performance was obtained by generating original non-involute profiles, mated together and capable of offering improved performance while at the same time tolerating sufficient Hertzian load capacity. Moreover, the proposed analytical solution provides possibility of obtaining profiles that, wearing little, are capable of maintaining their form, to the extent possible, while remaining coupled, and thus insuring normal operation for a longer period of time. The load fatigue is characterised by a virtual instrument controlled by a PC capable of controlling the maximum load, frequency, wave-form, and number of cycles. Each cycle is recorded in special file for later processing.