Abstract:

According to grey bootstrap maximum entropy method, the distribution of output errors and the adjustment for the machining errors of machine tool was studied in mechanical manufacturing process. This method included bootstrap methodology, the grey system theory, and the maximum entropy theory. In order to analyze the error distribution, the bootstrap methodology was applied to get a large number of sample data by bootstrap resampling from the current information vector of small size, and then the grey system theory was used to establish a grey bootstrap model (GBM) of dynamic prediction. The probability distribution of output errors could be obtained by using the maximum entropy method. Based on the probability distribution of output errors, the machining errors of machine tool was adjusted so that the machining errors of products could satisfy the requirements. Computer imitation and actual cases show that the machining errors of machine tool can be adjusted accurately by using grey bootstrap maximum entropy method, and the forecasting accuracy is high.

Key words: grey bootstrap maximum entropy, manufacturing process, error, adjustment

摘要：

基于灰自助最大熵法，进行了机械制造工艺中输出的误差分布及机床加工误差调整研究。在分析误差分布时，首先运用自助法对当前少的信息量进行自助再抽样得到大量样本数据，然后利用灰色系统理论建立误差的灰自助动态预报模型GBM(1，1)，最后用最大熵法获得了输出误差的概率分布。根据输出误差的概率分布，对机床的加工误差进行调整，使加工的产品误差满足要求。计算机仿真和实际案例的研究表明，灰自助最大熵法能够对机床进行准确调整，且预报准确率高。

关键词: 灰自助最大熵, 制造工艺, 误差, 调整