A new improved regularization method for dynamic load identification

Xingsheng Sun; Jie Liu; Xu Han; Chao Jiang; Rui Chen

doi:10.1080/17415977.2013.854353

A new improved regularization method for dynamic load identification

Xingsheng Sun
, Jie Liu
, Xu Han
, Chao Jiang
, Rui Chen

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

In this paper, a new improved regularization method is proposed to identify dynamic loads in practical engineering problems. Dynamic loads are expressed as the functions of time and the forward model for dynamic load identification is established through the discretized convolution integral of loads and the corresponding unit-pulse response functions of system. With measured responses containing noises, a regularization operator is proposed to construct a novel regularization method, and its regular property is proved. The improved regularization operator and L-curve method are combined to overcome the ill-condition of load reconstruction and to obtain the stable and approximate solutions of inverse problems. The theory is successfully applied to a mathematical problem and a vehicle hood problem in numerical simulations, which demonstrates the efficiency and robustness of the presented method.

Original language	English
Pages (from-to)	1062-1076
Number of pages	15
Journal	Inverse Problems in Science and Engineering
Volume	22
Issue number	7
DOIs	https://doi.org/10.1080/17415977.2013.854353
State	Published - Oct 2014

Bibliographical note

Funding Information:
This work is supported by the National Science Foundations of China (11202076, 11232004), the Key Project of Chinese National Programmes for Fundamental Research and Development (2010CB832705) and the Doctoral Fund of Ministry of Education of China (20120161120003).

Funding

This work is supported by the National Science Foundations of China (11202076, 11232004), the Key Project of Chinese National Programmes for Fundamental Research and Development (2010CB832705) and the Doctoral Fund of Ministry of Education of China (20120161120003).

Funders	Funder number
Key Project of Chinese National Programmes for Fundamental Research and Development	2010CB832705
National Natural Science Foundation of China (NSFC)	11232004, 11202076
Ministry of Education of the People's Republic of China	20120161120003

Keywords

Green's kernel
ill-posed problem
inverse problem
load identification
regularization method

ASJC Scopus subject areas

General Engineering
Computer Science Applications
Applied Mathematics

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10.1080/17415977.2013.854353

Cite this

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title = "A new improved regularization method for dynamic load identification",

abstract = "In this paper, a new improved regularization method is proposed to identify dynamic loads in practical engineering problems. Dynamic loads are expressed as the functions of time and the forward model for dynamic load identification is established through the discretized convolution integral of loads and the corresponding unit-pulse response functions of system. With measured responses containing noises, a regularization operator is proposed to construct a novel regularization method, and its regular property is proved. The improved regularization operator and L-curve method are combined to overcome the ill-condition of load reconstruction and to obtain the stable and approximate solutions of inverse problems. The theory is successfully applied to a mathematical problem and a vehicle hood problem in numerical simulations, which demonstrates the efficiency and robustness of the presented method.",

keywords = "Green's kernel, ill-posed problem, inverse problem, load identification, regularization method",

author = "Xingsheng Sun and Jie Liu and Xu Han and Chao Jiang and Rui Chen",

note = "Funding Information: This work is supported by the National Science Foundations of China (11202076, 11232004), the Key Project of Chinese National Programmes for Fundamental Research and Development (2010CB832705) and the Doctoral Fund of Ministry of Education of China (20120161120003).",

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month = oct,

doi = "10.1080/17415977.2013.854353",

language = "English",

volume = "22",

pages = "1062--1076",

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TY - JOUR

T1 - A new improved regularization method for dynamic load identification

AU - Sun, Xingsheng

AU - Liu, Jie

AU - Han, Xu

AU - Jiang, Chao

AU - Chen, Rui

N1 - Funding Information: This work is supported by the National Science Foundations of China (11202076, 11232004), the Key Project of Chinese National Programmes for Fundamental Research and Development (2010CB832705) and the Doctoral Fund of Ministry of Education of China (20120161120003).

PY - 2014/10

Y1 - 2014/10

N2 - In this paper, a new improved regularization method is proposed to identify dynamic loads in practical engineering problems. Dynamic loads are expressed as the functions of time and the forward model for dynamic load identification is established through the discretized convolution integral of loads and the corresponding unit-pulse response functions of system. With measured responses containing noises, a regularization operator is proposed to construct a novel regularization method, and its regular property is proved. The improved regularization operator and L-curve method are combined to overcome the ill-condition of load reconstruction and to obtain the stable and approximate solutions of inverse problems. The theory is successfully applied to a mathematical problem and a vehicle hood problem in numerical simulations, which demonstrates the efficiency and robustness of the presented method.

AB - In this paper, a new improved regularization method is proposed to identify dynamic loads in practical engineering problems. Dynamic loads are expressed as the functions of time and the forward model for dynamic load identification is established through the discretized convolution integral of loads and the corresponding unit-pulse response functions of system. With measured responses containing noises, a regularization operator is proposed to construct a novel regularization method, and its regular property is proved. The improved regularization operator and L-curve method are combined to overcome the ill-condition of load reconstruction and to obtain the stable and approximate solutions of inverse problems. The theory is successfully applied to a mathematical problem and a vehicle hood problem in numerical simulations, which demonstrates the efficiency and robustness of the presented method.

KW - Green's kernel

KW - ill-posed problem

KW - inverse problem

KW - load identification

KW - regularization method

UR - https://www.scopus.com/pages/publications/84902525853

UR - https://www.scopus.com/pages/publications/84902525853#tab=citedBy

U2 - 10.1080/17415977.2013.854353

DO - 10.1080/17415977.2013.854353

M3 - Article

AN - SCOPUS:84902525853

SN - 1741-5977

VL - 22

SP - 1062

EP - 1076

JO - Inverse Problems in Science and Engineering

JF - Inverse Problems in Science and Engineering

IS - 7

ER -

A new improved regularization method for dynamic load identification

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

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