메뉴 건너뛰기




Volumn 23, Issue 11, 2009, Pages 2938-2947

A novel method for non-parametric identification of nonlinear restoring forces in nonlinear vibrations from noisy response data: A conservative system

Author keywords

Identification; Nonlinear restoring forces; Numerical instability; Regularization method; Volterra nonlinear integral equation

Indexed keywords

IDENTIFICATION (CONTROL SYSTEMS); INTEGRAL EQUATIONS; NUMERICAL METHODS; DYNAMIC LOADS; EQUATIONS OF MOTION;

EID: 74549205213     PISSN: 1738494X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12206-009-0822-5     Document Type: Article
Times cited : (8)

References (25)
  • 3
    • 0031232987 scopus 로고    scopus 로고
    • Identification of restoring forces in non-linear vibration systems based on neural networks
    • Y. C. Liang, C. G. Zhou and Z. S. Wang, Identification of restoring forces in non-linear vibration systems based on neural networks, Journal of Sound and Vibration, 206 (1997) 103-108.
    • (1997) Journal of Sound and Vibration , vol.206 , pp. 103-108
    • Liang, Y.C.1    Zhou, C.G.2    Wang, Z.S.3
  • 4
    • 0035912202 scopus 로고    scopus 로고
    • Identification of restoring forces in non-linear vibration systems using fuzzy adaptive neural networks
    • Y. C. Liang, D. P. Feng and J. E. cooper, Identification of restoring forces in non-linear vibration systems using fuzzy adaptive neural networks, Journal of Sound and Vibration, 242 (2001) 47-58.
    • (2001) Journal of Sound and Vibration , vol.242 , pp. 47-58
    • Liang, Y.C.1    Feng, D.P.2    Cooper, J.E.3
  • 5
    • 0030289284 scopus 로고    scopus 로고
    • A new procedure for detecting nonlinearity from transient data using the gabor transform
    • D. Spina, C. Valente and G. R. Tomlinson, A new procedure for detecting nonlinearity from transient data using the gabor transform, Nonlinear Dynamics, 11 (1996) 235-254.
    • (1996) Nonlinear Dynamics , vol.11 , pp. 235-254
    • Spina, D.1    Valente, C.2    Tomlinson, G.R.3
  • 8
    • 0035401377 scopus 로고    scopus 로고
    • A wavelet-based approach for model and parameter identification of nonlinear systems
    • R. Ghanem and F. Romeo, A wavelet-based approach for model and parameter identification of nonlinear systems, International Journal of Non-Linear Mechanics 36 (2001) 835-859.
    • (2001) International Journal of Non-Linear Mechanics , vol.36 , pp. 835-859
    • Ghanem, R.1    Romeo, F.2
  • 10
    • 0036885415 scopus 로고    scopus 로고
    • Hysteresis in mechanical systems - modeling and dynamic response
    • F. Vestroni and M. Noori, Hysteresis in mechanical systems - modeling and dynamic response, International Journal of Non-Linear Mechanics 37 (2002) 1261-1459.
    • (2002) International Journal of Non-Linear Mechanics , vol.37 , pp. 1261-1459
    • Vestroni, F.1    Noori, M.2
  • 12
    • 0001300994 scopus 로고
    • Solution of Incorrectly Formulated Problems and the Regularization Method
    • A. N. Tikhonov, Solution of Incorrectly Formulated Problems and the Regularization Method. Sov. Doklady. 4 (1963) 1035-1038.
    • (1963) Sov. Doklady. , vol.4 , pp. 1035-1038
    • Tikhonov, A.N.1
  • 14
    • 0042604698 scopus 로고
    • A Method of Successive Approximations for Fredholm Integral Equations of the First Kind
    • V. Fridman, A Method of Successive Approximations for Fredholm Integral Equations of the First Kind. Uspeki mat. Nauk. 11 (1965) 233-234.
    • (1965) Uspeki Mat. Nauk. , vol.11 , pp. 233-234
    • Fridman, V.1
  • 16
    • 23044523202 scopus 로고    scopus 로고
    • An Ill-posed Inverse Problem of a Wing with Locally Given Velocity Data and Its Analysis
    • T. S. Jang and T. Kinoshita, An Ill-posed Inverse Problem of a Wing with Locally Given Velocity Data and Its Analysis, Journal of Marine Science and Technology 5 (2000) 16-20.
    • (2000) Journal of Marine Science and Technology , vol.5 , pp. 16-20
    • Jang, T.S.1    Kinoshita, T.2
  • 17
    • 0034558719 scopus 로고    scopus 로고
    • Numerical experiments on an ill-posed inverse problem for a given velocity around a hydrofoil by iterative and noniterative regularizations
    • T. S. Jang, H. S. Choi and T. Kinoshita, Numerical experiments on an ill-posed inverse problem for a given velocity around a hydrofoil by iterative and noniterative regularizations, Journal of Marine Science and Technology 5 (2000) 107-111.
    • (2000) Journal of Marine Science and Technology , vol.5 , pp. 107-111
    • Jang, T.S.1    Choi, H.S.2    Kinoshita, T.3
  • 18
    • 33846706754 scopus 로고    scopus 로고
    • Solution of an unstable Axisymmetric Cauchy-Poisson problem of Dispersive Water Waves for a Spectrum with Compact Support
    • T. S. Jang, S. H. Kwon and B. J. Kim, Solution of an unstable Axisymmetric Cauchy-Poisson problem of Dispersive Water Waves for a Spectrum with Compact Support, Ocean Engineering 34 (2007) 676-684.
    • (2007) Ocean Engineering , vol.34 , pp. 676-684
    • Jang, T.S.1    Kwon, S.H.2    Kim, B.J.3
  • 19
    • 58449089482 scopus 로고    scopus 로고
    • Inverse determination of the loading source of the infinite beam on elastic foundation
    • T. S. Jang, H. G. Sung, S. L. Han and S. H. Kwon, Inverse determination of the loading source of the infinite beam on elastic foundation, Journal of Mechanical Science and Technology 22 (2008) 2350-2356.
    • (2008) Journal of Mechanical Science and Technology , vol.22 , pp. 2350-2356
    • Jang, T.S.1    Sung, H.G.2    Han, S.L.3    Kwon, S.H.4
  • 20
    • 58449106433 scopus 로고    scopus 로고
    • Application of Tikhonov's regularization to an unstable two dimensional Water Waves: Spectrum with Compact Support
    • T. S. Jang and S. L. Han, Application of Tikhonov's regularization to an unstable two dimensional Water Waves: Spectrum with Compact Support, Ships and Offshore Structures, 3 (2008) 41-47.
    • (2008) Ships and Offshore Structures , vol.3 , pp. 41-47
    • Jang, T.S.1    Han, S.L.2
  • 21
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • P. C. Hansen, Analysis of discrete ill-posed problems by means of the L-curve, SIAM Rev. 34 (1992) 561-580.
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 24
    • 0000518587 scopus 로고
    • An iteration formula for Fredholm integral equations of the first kind
    • L. Landweber, An iteration formula for Fredholm integral equations of the first kind, Am. J. Math. 73 (1951) 615-624.
    • (1951) Am. J. Math. , vol.73 , pp. 615-624
    • Landweber, L.1
  • 25
    • 67649432911 scopus 로고    scopus 로고
    • A new method for detecting nonlinear damping and restoring forces in nonlinear oscillation systems from transient data
    • T. S. Jang, Hang S. Choi and S. L. Han, A new method for detecting nonlinear damping and restoring forces in nonlinear oscillation systems from transient data, International Journal of Non-Linear Mechanics 44 (2009) 801-808.
    • (2009) International Journal of Non-Linear Mechanics , vol.44 , pp. 801-808
    • Jang, T.S.1    Choi, H.S.2    Han, S.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.