谢建宏,胡兆吉.基于再生核LS SVM的压电智能结构冲击定位分析[J].压电与声光,2012,34(5):657-660.XIE Jianhong,HU Zhaoji.Impact Locating Analysis Using LS SVM Based on Reproducing Kernel for Piezoelectric Smart Structures[J].PIEZOELECTRICS AND ACOUSTOOPTICS
基于再生核LS SVM的压电智能结构冲击定位分析
Impact Locating Analysis Using LS SVM Based on Reproducing Kernel for Piezoelectric Smart Structures
  
DOI:10.11977/j.issn.1004-2474.2012.05.003
中文关键词:  再生核最小二乘支持向量机(LS SVM)  压电智能结构  压电响应数值仿真  冲击定位
英文关键词:LS SVM with reproducing kernel  piezoelectric smart structures  piezoelectric responses’ numerical simulation  impact locating
基金项目:江西省自然科学基金资助项目(2010GZS0043);江西省教育厅科技计划基金资助项目(GJJ10437)
作者单位
谢建宏 (1.江西财经大学 软件与通信工程学院 江西 南昌 330013
 
胡兆吉 2.南昌大学 过程装备与测控工程系江西 南昌 330031) 
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中文摘要:
      根据支持向量机核函数的构造条件及Hilbert空间再生核理论,构造了一种新型核函数,并与改进的最小二乘支持向量机(LS SVM)相结合,从而形成再生核LS-SVM学习方法。采用一阶剪切变形理论及有限单元方法,对压电智能复合材料层板进行低速冲击压电响应数值仿真,并进行了特征提取。基于各压电传感器响应信号特征,采用再生核LS-SVM方法,对压电智能复合材料层板进行了冲击定位分析,并与高斯核函数(RBF)的LS SVM法进行对比。结果表明,在同等条件下,相比于RBF核LS-SVM,再生核LS-SVM具有更高的冲击损伤定位精度及更强的推广能力,该仿真方法可为实际结构的冲击损伤位置自诊断提供指导。
英文摘要:
      According to the constructional conditions of Support Vector Machine kernel functions and reproducing kernel theory in Hilbert space,a new kernel function is constructed and combined with the improved Least Square Support Vector Machine (LS-SVM),and thus LS SVM with reproducing kernel is proposed.The numerical simulation of the piezoelectric response of the piezoelectric smart composite laminated plates under the low velocity impact load is performed by using the first order shear deformation theory and finite element method,and the features are extracted.Then,based on the features of piezoelectric sensors’ responsive signals,LS-SVM with reproducing kernel is applied to detect the impact locations for the piezoelectric smart composite laminated plates,and compared with LS-SVM with RBF kernel.The results show that,LS-SVM with reproducing kernel possesses the higher accuracy of impact locating,and the better generalization ability than LS SVM with RBF kernel.In addition,the simulation method can give a degree of guidance for the practical structural impact damage locations self diagnosing.
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