Papers by Keyword: Polynomial Fit

Abstract: Auto-rotated precision of gun barrel is a key operation of firing, and the research of its testing method should depend on its index computing. According to discrete value in the firing table and the exterior ballistic computation based on least square polynomial fit method, the mapping function between battle sight and range dispersion was confirmed. And by analyzing the effect of offset induced by auto-rotated precision of gun barrel, the index function which could offer a data origination for the verification of testing method of auto-rotated precision of gun barrel was provided.

Abstract: For micro-positioning systems using piezoelectric actuators for precision grinding process control, sinusoidal command signals will be used and will give additional problems in comparison with the commonly used step signals due to the hysteresis effects, which require a good modeling approach. In order to avoid the discontinuity problem in obtaining the values of the piezoelectric constant, a new approach of direct mapping with polynomial fit is proposed. Theoretical and experimental studies are conducted and comparative studies are made. Compared with the single polynomial approach, the proposed method of direct mapping with polynomial fit is able to reduce the modeling error to 12.5%, which is 6.5% lower, and the problems in obtaining the values of the piezoelectric constant are avoided. The proposed approach is shown advantageous. Further studies are necessary to significantly reduce the modeling error.