摘要
提出了一种改进的平行六面体凸模型,以便更普遍地描述不确定参数之间的相关性。结合逆响应面模型,建立了一种动力学不确定参数区间识别方法。首先,采用改进的平行六面体二维模型描述结构动力学响应频率的不确定域相关分布,再构建其多维模型,并通过仿射坐标变换将其转化为标准参数空间中的区间形式;然后,以此参数空间内的响应频率为输入,结构不确定参数为输出,构建能避免区间扩张问题的完全平方项区间逆响应面模型;进而进行区间运算,识别动力学不确定参数区间;最后,以一个3自由度质量弹簧系统仿真算例和一个螺栓连接框架结构模态实验进行了验证。结果说明:此方法能够有效性地识别结构的动力学不确定参数区间,具有较高的识别精度。
An improved parallelepiped convex model is proposed to describe the wide correlation between uncertain parameters.In combination with response surface method,a dynamic uncertain parameter identification method based on non-probabilistic convex model is presented.First of all,the improved parallelepiped two-dimensional model is used to describe the correlation distribution of the dynamic response frequencies of the structure and then to construct the multidimensional model,which is transformed into the interval form of standard parameter space by affine coordinate transformation.Then,taking the response frequency in the standard parameter space as the input and the structure uncertain parameter as the output,we construct the complete-quadratic-term interval inverse response surface model,which can avoid the interval expansion problem caused by interval operation and directly carry out the interval operation to identify the interval of dynamic uncertain parameters.Finally,this method is verified by a simulation example of a 3 DOF mass spring system and a modal experiment of a bolt connection frame.The results show that the proposed method can effectively identify the dynamic uncertain parameters of the structure with a high accuracy.
引文
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