Abstract
Practical techniques for experimentally detecting and characterizing system nonlinearities are demonstrated through a test bed consisting of a composite panel, both with and without a disbond, undergoing an electrodynamic shaker excitation. Techniques for detecting and characterizing system nonlinearities are applied to force and response data collected from this test bed, and then models are identified for those nonlinearities. Both time and frequency domain techniques are utilized, and the underlying theory and experimental requirements for each technique are discussed. References to the literature are provided throughout the chapter for more in-depth discussion of the techniques.
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References
Adams D, Allemang R (2000) A frequency domain method for estimating the parameters of a non-linear structural dynamic model through feedback. Mech Syst Signal Process 14(4):637–656
Bendat JS, Piersol AG (1980) Engineering applications of correlation and spectral analysis. Wiley-Interscience, New York, p 315
Bendat J, Palo P, Coppolino R (1992) A general identification technique for nonlinear differential equations of motion. Probab Eng Mech 7(1):43–61
Billings S, Tsang K (1989) Spectral analysis for non-linear systems, part I: parametric non-linear spectral analysis. Mech Syst Signal Process 3(4):319–339
Chen S, Billings SA (1989) Representations of non-linear systems: the narmax model. Int J Control 49(3):1013–1032
Donskoy D, Sutin A, Ekimov A (2001) Nonlinear acoustic interaction on contact interfaces and its use for nondestructive testing. NDT & E Int 34(4):231–238
Feldman M (1994) Non-linear system vibration analysis using hilbert transform–I. Free vibration analysis method ’Freevib’. Mech Syst Signal Process 8(2):119–127
Feldman M (1994) Non-linear system vibration analysis using hilbert transform–II. Forced vibration analysis method ’Forcevib’. Mech Syst Signal Process 8(3):309–318
Feldman M (2011) Hilbert transform in vibration analysis. Mech Syst Signal Process 25(3):735–802
Meyer JJ, Adams DE (2015) Theoretical and experimental evidence for using impact modulation to assess bolted joints. Nonlinear Dyn 81(1–2):103–117
Mohammad K, Worden K, Tomlinson G (1992) Direct parameter estimation for linear and non-linear structures. J Sound Vib 152(3):471–499
Richards C, Singh R (1998) Identification of multi-degree-of-freedom non-linear systems under random excitations by the reverse path spectral method. J Sound Vib 213(4):673–708
Storer D, Tomlinson G (1993) Recent developments in the measurement and interpretation of higher order transfer functions from non-linear structures. Mech Syst Signal Process 7(2):173–189
Tomlinson G, Worden K (2000) Nonlinearity in structural dynamics: detection, identification and modelling. Boca Rotan, CRC Press. https://doi.org/10.1201/9780429138331
Worden K (1990) Data processing and experiment design for the restoring force surface method, part II: choice of excitation signal. Mech Syst Signal Process 4(4):321–344
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© 2020 The Society for Experimental Mechanics
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Meyer, J.J., Bond, R.M., Adams, D.E. (2020). Nonlinear System Analysis Methods. In: Allemang, R., Avitabile, P. (eds) Handbook of Experimental Structural Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6503-8_22-1
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DOI: https://doi.org/10.1007/978-1-4939-6503-8_22-1
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