关键词: 多点振动响应预测, 主元回归, 不相关多源载荷, 线性时不变系统, 频域

Abstract: To solve the multipoint vibration response prediction problem in frequency domain for linear systems under unknown uncorrelated multi-source unknown load excitations,the formal description and its mathematical model were established.The difference between this problem and multipoint vibration response prediction problem in frequency domain for linear time-invariance systems under unknown uncorrelated multi-source known load excitations was compared in aspect of training set,input,output,etc.A principal component regression was proposed for this problem.The multipoint vibration response prediction experimental results in the cylindrical shell structure under vibration and acoustic combined excitations showed that the 3db and Root Mean Square Error (RMSE) of the vibration response prediction using the principal component regression method were significantly lower than the multivariate linear regression method.

Key words: multipoint vibration response prediction, principal component regression, multiple uncorrelated loads, linear time-invariance system, frequency domain