Estimating time-varying heat sources in a high speed spindle based on two measurement temperatures

Combined the finite element model and the conjugate gradient method, this article presents an inverse method to estimate time-varying heat sources in a high speed spindle based on experimental temperatures of housing surface. An experimental setup and process to measure temperatures for inversely predicting heat generation sources in high speed spindle and validating inverse results are developed. Two measured temperatures are used to estimate two unknown heat generation sources for constant and time-varying spindle speeds. Two other measured temperatures are utilized to validate the inverse results. Results show that the estimated temperatures correlate well with the measured data, and also that the heat generation prediction is satisfactory. In addition, temperatures from the proposed inverse method are consistent with measured temperatures at the verification points. It can be concluded that the proposed inverse method is a promising method for determining heat sources in the heat transfer of complicated structures with different materials.