Experimental Identification Technique of Nonlinear Beams in Time Domain

In previous papers, the authors proposed a new experimental identification technique applicable to elastic structures. The proposed technique is based on the principle of harmonic balance and can be classified as a frequency domain technique. The technique requires the excitation force to be periodic. This is, in some cases, a restriction. So another technique free from this restriction is of use. In this paper, as a first step for developing such techniques, a technique applicable to beams is proposed. The proposed technique can be classified as a time domain technique, two variations of which are proposed. The first method is based on the usual least-squares method. The second is based on solving a minimization problem with constraints. The latter usually yields better results. But in this method, an iteration procedure is used which requires initial values for the parameters. To obtain the initial values, the first method can be used. So both methods are useful. Finally, the applicability of the proposed technique is confirmed by numerical simulation as well as experiments.

[1]  S. R. Ibrahim,et al.  A Nonparametric Identification Technique for a Variety of Discrete Nonlinear Vibrating Systems , 1985 .

[2]  G. Tomlinson,et al.  Direct parameter estimation for linear and non-linear structures , 1992 .

[3]  J. L. Sproston,et al.  A Note on Parameter Estimation in Non-Linear Vibrating Systems , 1985 .

[4]  Shozo Kawamura,et al.  A Nonparametric Identification Technique for Nonlinear Vibratory Systems : Proposition of the Technique , 1989 .

[5]  Shozo Kawamura,et al.  Identification of Nonlinear Multi-Degree-of-Freedom Systems : Presentation of an Identification Technique , 1988 .

[6]  D. Joseph Mook,et al.  Estimation and identification of nonlinear dynamic systems , 1988 .

[7]  D. J. Ewins,et al.  A Method for Recognizing Structural Nonlinearities in Steady-State Harmonic Testing , 1984 .

[8]  F. E. Udwadia,et al.  Nonparametric identification of a class of nonlinear close-coupled dynamic systems , 1981 .

[9]  P. Ibáñez,et al.  Identification of dynamic parameters of linear and non-linear structural models from experimental data , 1973 .

[10]  Rajendra Singh,et al.  Experimental modal analysis of non-linear systems: A feasibility study , 1986 .

[11]  Keisuke Kamiya,et al.  Identification of Nonlinear Multi-Degree-of-Freedom Systems (An Attempt to Improve Accuracy by Introducing a Statistical Method). , 1991 .

[12]  Sami F. Masri,et al.  Identification of Nonlinear Vibrating Structures: Part II—Applications , 1987 .

[13]  Keisuke Kamiya,et al.  Experimental Identification Technique of Vibrating Structures With Geometrical Nonlinearity , 1997 .

[14]  S. Masri,et al.  Identification of Nonlinear Dynamic Systems Using Neural Networks , 1993 .

[15]  Kimihiko Yasuda,et al.  Identification of a nonlinear beam. Proposition of an identification technique. , 1990 .

[16]  Sami F. Masri,et al.  Identification of nonlinear vibrating structures: Part I -- Formulation , 1987 .

[17]  Sami F. Masri,et al.  A Nonparametric Identification Technique for Nonlinear Dynamic Problems , 1979 .

[18]  David Burgreen,et al.  Free vibrations of a pin-ended column with constant distance between pin ends , 1950 .

[19]  Shozo Kawamura,et al.  Identification of nonlinear multi-degree-of-freedom systems. Identification under noisy measurements. , 1988 .