A new experimental identification technique of a two-dimensional vibrating elastic structure with geometrical nonlinearity is considered. First it is shown that the governing equations given in the form of nonlinear partial differential equations can always be transformed to those given in the form of nonlinear ordinary differential equations called the modal equations, and hence identification is reduced to determination of the modal equations. Then a technique for determining the parameters of the modal equations through use of experimental data is proposed. Numerical simulation is conducted for typical cases, and applicability of the technique is confirmed.
Issue Section:
Technical Papers
1.
Busby
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Singh
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.3.
Kamiya
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1993
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.4.
Kirshenboim
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,” ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
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.5.
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,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 51
, pp. 391
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.7.
Masri
S. F.
Miller
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Saud
A. F.
Caughey
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1987
a, “Identification of Nonlinear Vibrating Structures: Part I—Formulation
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 54
, pp. 918
–922
.8.
Masri
S. F.
Miller
R. K.
Saud
A. F.
Caughey
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1987
b, “Identification of Nonlinear Vibrating Structures: Part II—Applications
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 54
, pp. 923
–929
.9.
Nowacki, W., 1963, Dynamics of Elastic structures, Chapman & Hall, pp. 206–212.
10.
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Ibrahim
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,” ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol. 107
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.13.
Yasuda
K.
Kawamura
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Watanabe
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1988
a, “Identification of Nonlinear Multi-Degree-of-Freedom Systems (Presentation of an Identification Technique)
, JSME lnt. J., Set. III
, Vol. 31
, No. 1
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.14.
Yasuda
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Kawamura
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Watanabe
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1988
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,” JSME Int. J., Ser. III
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Yasuda
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Kawamura
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1989
, “A Nonparametric Identification Technique for Nonlinear Vibratory Systems (Proposition of the Technique)
,” JSME Int. J., Ser. III
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.16.
Yasuda, K., and Kamiya, K., 1991, “Identification of Nonlinear Systems,” Proc. Asia-Pacific Vibration Conference, pp. 2.28–2.33.
17.
Yasuda
K.
Kamiya
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1990
, “Identification of a Nonlinear Beam (Proposition of an Identification Technique)
,” JSME Int. J., Ser. III
, Vol. 33
, No. 4
, pp. 535
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.18.
Yasuda
K.
Hayashi
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1982
, “Subharmonic Oscillations of a Prestressed Circular Plate
,” Bull. JSME
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.
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