Abstract
In this work, the nonlinear structural modification/coupling technique proposed recently by the authors is applied to a test system in order to study the applicability of the method to real structures. The technique is based on calculating the frequency response functions of a modified system from those of the original system and the dynamic stiffness matrix of the nonlinear modifying part. The modification can also be in the form of coupling a nonlinear system to the original system. The test system used in this study is composed of two cantilever beams with their free ends held between two thin identical beams which yield cubic stiffness. Thus two linear structures are coupled with a nonlinear connecting element. The frequency response functions of the coupled nonlinear system are measured at several different harmonic forcing levels, and the experimental values are compared with the theoretical values calculated using the nonlinear structural coupling method.
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Pomazal RJ, Snyder VW (1971) Local modifications of damped linear systems. AIAA J 9(11):2216–2221
Hallquist J, Snyder V (1973) Synthesis of two discrete vibratory systems using eigenvalue modification. AIAA J 11(2):247–249
İmregün M, Robb DA, Ewins DJ (1987) Structural modification and coupling dynamic analysis using FRF data. Proceedings of the 5th international modal analysis conference, London, UK
Jetmundsen B, Bielawa RL, Flannelly WG (1988) Generalized frequency domain substructure synthesis. J Am Helicopter Soc 33:55–64
Urgueira APV (1989) Dynamic analysis of coupled structures using experimental data. PhD thesis, Imperial College of Science, Technology and Medicine
Sestieri A, D’Ambrogio W (1989) A modification method for vibration control of structures. Mech Syst Signal Process 3(3):229–253
D’Ambrogio W (1990) Some remarks about structural modifications involving additional degrees of freedom. Mech Syst Signal Process 4(1):95–99
Ren Y, Beards CF (1995) On substructure synthesis with FRF data. J Sound Vib 185(5):854–866
Liu W, Ewins DJ (2002) Substructure synthesis via elastic media. J Sound Vib 257(2):361–379
Hang H, Shankar K, Lai JCS (2008) Prediction of the effects on dynamic response due to distributed structural modification with additional degrees of freedom. Mech Syst Signal Process 22:1809–1825
Hang H, Shankar K, Lai JCS (2010) Effects of distributed structural dynamic modification with additional degrees of freedom on 3D structure. Mech Syst Signal Process 24:1349–1368
Özgüven HN (1990) Structural modifications using frequency response functions. Mech Syst Signal Process 4(1):53–63
Watanabe K, Sato H (1988) Development of nonlinear building block approach. J Vib Acoust Stress Reliab Des 110:36–41
Wyckaert K, Vanherck P, Brussel H, Sas P (1991) Predictive response calculation of linear structures coupled with local nonlinear elements. Proceedings of 9th international modal analysis conference, Florence, Italy, pp 1215–1222
Cömert MD, Özgüven HN (1995) A method for forced harmonic response of substructures coupled by nonlinear elements. Proceedings of the 13th international modal analysis conference, Nashville, Tennessee, USA, pp 139–145
Ferreira JV, Ewins DJ (1996) Nonlinear receptance coupling approach based on describing functions. Proceedings of the 14th international modal analysis conference, Dearborn, Michigan, USA, pp 1034–1040
Ferreira JV (1998) Dynamic response analysis of structures with non-linear components. PhD thesis, Department of Mechanical Engineering, Imperial College London/University of London
Huang S (2007) Dynamic analysis of assembled structures with nonlinearity. PhD thesis, Department of Mechanical Engineering, Imperial College London/University of London
Kalaycıoğlu T, Özgüven HN (2012) Nonlinear structural modification and nonlinear coupling. Proceedings of the 30th international modal analysis conference, Jacksonville, Florida, USA, pp 233–246
Kalaycıoğlu T, Özgüven HN (2011) Harmonic response of large engineering structures with nonlinear modifications. Proceedings of the 8th international conference on structural dynamics, EURODYN 2011, Leuven, Belgium, 4–6 July 2011, pp 3623–3629
Tanrıkulu Ö, Kuran B, Özgüven HN, İmregün M (1993) Forced harmonic response analysis of non-linear structures using describing functions. AIAA J 31(7):1313–1320
Gelb A, Van der Velde WE (1968) Multiple-input describing functions and nonlinear system design. McGraw-Hill, New York
Atherton DP (1975) Nonlinear control engineering: Describing function analysis and design. Van Nostrand Reinhold, London
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© 2014 The Society for Experimental Mechanics, Inc.
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Kalaycιoğlu, T., Özgüven, H.N. (2014). Nonlinear Structural Coupling: Experimental Application. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04522-1_23
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DOI: https://doi.org/10.1007/978-3-319-04522-1_23
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