时域内动态载荷识别的径向基形函数法

中国机械工程 ›› 2013, Vol. 24 ›› Issue (3): 285-289.

时域内动态载荷识别的径向基形函数法

池林;刘杰;姜潮

湖南大学汽车车身先进设计制造国家重点实验室,长沙,410082

出版日期:2013-02-10 发布日期:2013-02-27
基金资助:
国家自然科学基金资助项目(11202076)；装备预先研究项目(62501036012)；高等学校博士学科点专项科研基金资助项目(20120161120003)；国家重点基础研究发展计划(973计划)资助项目(2010CB832705)
National Natural Science Foundation of China（No. 11202076）;

National Defense Pre-research Foundation of General Armament Department（No. 62501036012）;

Research Fund for the Doctoral Program of Higher Education of China（No. 20120161120003）;
National Program on Key Basic Research Project (973 Program)（No. 2010CB832705）

#br# Radial Basis Shape Function Method for Identification of Dynamic Load in Time Domain

Chi Lin;Liu Jie;Jiang Chao

State Key Laboratory of Advanced Design and Manufacture for Vehicle Body,Hunan University,Changsha,410082

Online:2013-02-10 Published:2013-02-27
Supported by:

National Natural Science Foundation of China（No. 11202076）;

National Defense Pre-research Foundation of General Armament Department（No. 62501036012）;

Research Fund for the Doctoral Program of Higher Education of China（No. 20120161120003）;
National Program on Key Basic Research Project (973 Program)（No. 2010CB832705）

摘要/Abstract

摘要：

为了减小载荷识别过程中的不适定性,稳定地实现动态载荷的时域重构,提出了基于径向基形函数的时域动态载荷识别方法。在离散化系统动力响应卷积关系式的基础上,将载荷在时间域内划分单元,采用径向基函数构造载荷形函数,并在整个时间域内进行组装,得到整体形函数响应矩阵,建立载荷识别的正向模型;在此基础上,利用正则化方法实现动态载荷识别。算例表明,该方法能够有效减小核矩阵的规模,改善核矩阵的病态性,在采样时间步长较大且响应存在测量噪声的情况下,可保证动态载荷反演的稳定性和精确性。
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关键词: 载荷识别, 径向基形函数, 形函数法, 正则化, 反问题

Abstract:

In order to reduce the ill-condition arising from the inverse problem of load reconstruction,and restructure the time history of dynamic load stably,a new method which named radial basis shape function method was presented.Through discretizing the dynamic load into small elements in the time domain,the shape function was constructed in each time element by RBF interpolation.In this way,the forward model of
load reconstruction was established.Then based on this method,the time history of dynamic load was reconstructed.This method can reduce the scale of the nucleus matrix and whereby obtain a well-conditioned inverse problem,realize the dynamic load identification effectively and stably under bigger time step and the measurement noise in the load reconstruction. 

Key words: load identification, radial basis function(RBF), shape function method, regularization, inverse problem

中图分类号:

TH113.1

池林, 刘杰, 姜潮. 时域内动态载荷识别的径向基形函数法[J]. 中国机械工程, 2013, 24(3): 285-289.

CHE Lin, LIU Jie, JIANG Chao. #br# Radial Basis Shape Function Method for Identification of Dynamic Load in Time Domain[J]. China Mechanical Engineering, 2013, 24(3): 285-289.

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