School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,Hebei,China;
School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,Hebei,China;
School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,Hebei,China;
School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,Hebei,China;
flatness; pattern recognition; Legendre orthodoxy polynomial; genetie-BP algorithm; fuzzy neural network;