Parameter Identification of Beam Using Image Processing 5th Report, Parameter Identification Using Orthogonal Functions

In this paper, we proposed new parameter identification technique using orthogonal functions to identify the density and the modulus of elasticity of each segment of the beam. Using orthogonal functions, we could consider the parameter distribution in idientification and identified the distribution...

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Published inTransactions of the Japan Society of Mechanical Engineers Series C Vol. 70; no. 690; pp. 453 - 458
Main Authors KAWAI, Tadao, NAITO, Yusuke
Format Journal Article
LanguageEnglish
Japanese
Published The Japan Society of Mechanical Engineers 2004
Subjects
Beam
Damage Detection
Image Processing
Inverse Problem Orthogonal Functions
Parameter Distribution
Parameter Identification
Regularization Technique
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Abstract In this paper, we proposed new parameter identification technique using orthogonal functions to identify the density and the modulus of elasticity of each segment of the beam. Using orthogonal functions, we could consider the parameter distribution in idientification and identified the distribution of the density and the modulus of elasticity with a few parameters. We applied the Haar series for the cracked beam and the Fourier series and Legendre series for the uniform and the combined beam. We checked the applicability of our technique for the parameter identification by the simulation and found the considerable reduction of the calculation time and good regularization ability.
AbstractList In this paper, we proposed new parameter identification technique using orthogonal functions to identify the density and the modulus of elasticity of each segment of the beam. Using orthogonal functions, we could consider the parameter distribution in idientification and identified the distribution of the density and the modulus of elasticity with a few parameters. We applied the Haar series for the cracked beam and the Fourier series and Legendre series for the uniform and the combined beam. We checked the applicability of our technique for the parameter identification by the simulation and found the considerable reduction of the calculation time and good regularization ability.
Author KAWAI, Tadao
NAITO, Yusuke
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(3) M.Tanaka and A. N.Bercin, “Determination of crack location from changes in natural frequencies”, Inverse Problems in Engineering Mechanics, (1998), Elsevier
(4) 中野・芳田・大住, “雑音の影響を受けた振動データに基づく片持ちはりの物理パラメータの同定”, 機論C編, 67巻653号 (2001), p.43.
(12) 伏見・赤井, “直交関数系”, 共立出版 (1981)
(10) 伊藤・川合ら, “画像処理を用いたはりのパラメータ同定 (第3報)”, 機論C編、64巻626号 (1998-10), p.3721.
(5) 林川・須志田・小幡・佐藤, “GAを用いた木造アーチ形式歩道橋の構造同定に関する研究”, 構造工学論文集A, 44巻3号 (1998), p.1211.
(9) 川合・太田ら, “画像処理を用いたはりのパラメータ同定 (第2報)”, 機論C編、62巻623号 (1998-7), p.2492.
(7) J. E. Cooper and K. Worden, “On-line physical parameter estimation with adaptive forgetting factors”, Mechanical System and Signal Processing, 14 (5), (2000), p.705.
(11) 川合・伊藤ら, “画像処理を用いたはりのパラメータ同定 (第4報)”, 機論C編、67巻658号 (2001-6), p.1743.
(1) P. F. Rozos and N.Aspragathos, “Identification of crack location and magnitude in a cantilever beam from the vibration modes”, J. Sound and Vibration, 138 (3), (1990), p.381.
(8) 太田・川合ら, “画像処理を用いたはりのパラメータ同定 (第1報)”, 機論C編, 62巻603号 (1996-11), P.4218.
(6) F.Leonard, J.Lanteigne, S.Lalonde and Y.Turcotte, “Free-vibration behaviour of a cracked cantilever beam and crack detection”, Mechanical System and Signal Processing, 14 (3), (2001), p.529.
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Snippet In this paper, we proposed new parameter identification technique using orthogonal functions to identify the density and the modulus of elasticity of each...
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StartPage 453
SubjectTerms Beam
Damage Detection
Image Processing
Inverse Problem Orthogonal Functions
Parameter Distribution
Parameter Identification
Regularization Technique
Subtitle 5th Report, Parameter Identification Using Orthogonal Functions
Title Parameter Identification of Beam Using Image Processing
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