摘要
复合材料结构的冲击载荷识别是结构动力学第二类反问题,识别结果易受测量噪声与建模误差影响产生显著偏差。为此,本文提出了一种基于截断振动响应的冲击载荷精准识别新方法。首先,利用变分模态分解(Variational Mode Decomposition,VMD)将完整振动响应分解为多尺度本征模态函数,通过剔除高频模态和测量噪声,获得仅含结构低阶主频成分的截断振动响应。进而,利用奇异值截断最小二乘法,从截断振动响应中提取冲击位置的截断模态常数向量,实现冲击定位。最后,根据定位结果对模态常数向量的共线性因子进行估计,从而完成冲击载荷幅值的反演。在真实机翼上的实验结果表明:仅使用一个加速度计的情况下,所提方法利用机翼前三阶模态加速度响应组成的截断振动响应即可实现最高86.67%的定位成功率,并且载荷重构的平均峰值相对误差指标仅为6.51%。
Identification of impact load on composite material structures is the second-category inverse problem in structural dynamics,prone to significant deviations due to the influence of measurement noise and modeling errors.To address this issue,this paper proposes a novel method for the precise identification of impact load based on truncated vibration responses.Firstly,the complete vibration response is decomposed into multi-scale intrinsic mode functions using variational mode decomposition(VMD),thereby eliminating high-frequency modes and measurement noise to obtain a truncated vibration response that contains only the low-order principal frequency components of the structure.Subsequently,the truncated singular value based least squares method is employed to extract the truncated modal constant vector of the impact location from the truncated vibration response to realize impact localization.Finally,based on the localization results,the collinearity factor of the modal constant vector is estimated,thus completing the inversion of the impact intensity.Experiments on a real wing show that the proposed method can achieve a localization success rate of up to 86.67%by using the truncated vibration response composed of the first three modal acceleration responses of the wing with merely a single accelerometer,and the average peak relative error index of force reconstruction is only 6.51%.
作者
张力
杨晓明
姜全新
ZHANG Li;YANG Xiaoming;JIANG Quanxin(School of Intelligent Manufacturing,Jingchu University of Technology,Jingmen 448000,China)
出处
《复合材料科学与工程》
北大核心
2025年第11期1-7,29,共8页
Composites Science and Engineering
基金
湖北省自然科学基金(2025AFC005)
荆门市重大科技创新项目(2024ZDYF004)
荆楚理工学院高层次人才启动金项目(YY202444)。
关键词
冲击载荷识别
复合材料结构
截断振动响应
变分模态分解
反问题
impact force identification
composite material structures
truncated vibration response
variational mode decomposition
inverse problem
