针对模型验证中多元动态响应分析问题,提出了基于改进的响应误差评估(Enhanced Error Assessment of Response Time Histories,EEARTH)方法与层次分析(Analytic Hierarchy Process,AHP)法的多元响应分析方法.采用EEARTH方法并结合动态时间规整,分析了物理试验与仿真数据动态时间响应曲线上重要特征的差异,并转化为统一的0-100%的EEARTH评分.采用AHP并利用领域专家知识以确定3个EEARTH评分的重要程度,以及各响应量对最终AHP-EEARTH评分的影响权重,从而获得多元动态系统模型验证的整体评分.对某车型的驾驶员乘员侧约束系统的实例研究表明,该方法能有效实现复杂多元动态系统的模型验证.
In order to analyze the multiple dynamic responses for model validation of multiple dynamic systems, this paper proposed the analysis method based on the enhanced error assessment of response time histories (EEARTH) and the analytic hierarchy process (AHP). The EEARTH method was used to calculate the characteristic errors of the multivariate dynamic time series. The errors had to be translated into scores between 0 and 100; because they had different value ranges. The AHP method was performed to determine the weights of the three EEARTH scores and the weight of each response on the overall AHP-EEARTH score according to the knowledge of experts. Moreover, the AHP-EEARTH score of a multiple dynamic system was computed. Furthermore, a driver side occupant restraint system mathematical dynamic model (MADYMO) model was used to demonstrate the validity of the proposed method for model validation of multivariate dynamic systems.