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Published in:
Modeling an Electrodynamic Shaker Using Experimental Substructuring Read chapter Read first chapter

2018 | OriginalPaper | Chapter

4. Experimental Verification of a Recently Developed FRF Decoupling Method for Nonlinear Systems

Authors : Taner Kalaycıoğlu, H. Nevzat Özgüven

Published in: Dynamics of Coupled Structures, Volume 4

Publisher: Springer International Publishing

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Abstract

The FRF Decoupling Method for Nonlinear Systems (FDM-NS), recently proposed by the authors of this paper, is a technique based on predicting the dynamic behavior of a particular substructure of a coupled nonlinear structure from the knowledge of the measured FRFs of the coupled nonlinear structure and calculated or measured FRFs of the other substructure. The uncoupled substructure can be linear or nonlinear. The method is applicable to systems where the nonlinearity can be represented as a single nonlinear element. The method has been experimentally verified for a structure having a grounded nonlinear element. In this work, the applicability of the method to a structure having an internal nonlinearity is demonstrated. The test system used in this study is composed of two cantilever beams where their free ends are connected to each other with two identical thin beams which introduce an internal nonlinearity to the coupled structure. In this test, the FRFs of the coupled nonlinear assembly are measured in a frequency range for various different constant displacement levels of the nonlinear connection element. Tip point transverse FRFs of one of the cantilever beam, which is taken as the known subsystem, are also measured. By using the decoupling method proposed the modal parameters of the unknown nonlinear subsystem are calculated as a function of the relative displacement amplitude between ends of the nonlinear connection element, from which the dynamic response of the decoupled subsystem can be calculated for any harmonic excitation. In order to demonstrate the accuracy of the method, the decoupled system is connected to a cantilever beam with a different length, and firstly, the FRFs of the coupled new system are calculated for constant amplitude harmonic forcing. Then, the calculated FRF curves are compared with those which are directly measured.

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Literature
1.
Craig, R., Bampton, M.: Coupling of substructures for dynamic analysis, American Institute of Aeronautics and Astronautics. Journal. 6(7), 1313–1319 (1968)MATH
2.
Hallquist, J., Snyder, V.W.: Synthesis of two discrete vibratory systems using eigenvalue modification. AIAA J. 11(2), 247–249 (1973)CrossRef
3.
Crowley, J.H., Rocklin, G.T., Klosterman, A.L., Vold, H.: Direct structural modification using frequency response functions. In: Proceedings of the 2nd International Modal Analysis Conference, Orlando, Florida, pp. 58–65 (1984)
4.
İmregün, M., Robb, D.A., Ewins, D.J.: Structural modification and coupling dynamic analysis using FRF data. In: Proceedings of the 5th International Modal Analysis Conference, London, UK (1987)
5.
Jetmundsen, B., Bielawa, R.L., Flannelly, W.G.: Generalized frequency domain substructure synthesis. J. Am. Helicopter Soc. 33(1), 55–64 (1988)
6.
7.
Sestieri, A., D’Ambrogio, W.: A modification method for vibration control of structures. Mech. Syst. Signal Process. 3(3), 229–253 (1989)CrossRef
8.
Özgüven, H.N.: Structural modifications using frequency response functions. Mech. Syst. Signal Process. 4(1), 53–63 (1990)CrossRef
9.
Ren, Y., Beards, C.F.: On substructure synthesis with FRF data. J. Sound Vib. 185(5), 845–866 (1995)CrossRef
10.
Park, Y.H., Park, Y.S.: Structural modification based on measured frequency response functions: an exact eigenproperties reallocation. J. Sound Vib. 237, 411–426 (2000)CrossRef
11.
Mottershead, J.E., Mares, C., Friswell, M.I.: An inverse method for the assignment of vibration nodes. Mech. Syst. Signal Process. 15, 87–100 (2001)CrossRef
12.
Liu, W., Ewins, D.J.: Substructure synthesis via elastic media. J. Sound Vib. 257(2), 361–379 (2002)CrossRef
13.
D’Ambrogio, W., Sestieri, A.: A unified approach to substructuring and structural modification problems. Shock. Vib. 11(3–4), 295–310 (2004)CrossRef
14.
Kyprianou, A., Mottershead, J.E., Ouyang, H.: Assignment of natural frequencies by an added mass and one or more springs. Mech. Syst. Signal Process. 18(2), 263–289 (2004)CrossRef
15.
De Klerk, D., Rixen, D.J., de Jong, J.: Frequency based substructuring (FBS) method reformulated according to the dual domain decomposition method. In: Proceedings of the 24th International Modal Analysis Conference (2006)
16.
De Klerk, D., Rixen, D.J., Voormeeren, S.N.: General framework for dynamic substructuring: history, review, and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)CrossRef
17.
Hang, H., Shankar, K., Lai, J.C.S.: Prediction of the effects on dynamic response due to distributed structural modification with additional degrees of freedom. Mech. Syst. Signal Process. 22(8), 1809–1825 (2008)CrossRef
18.
Mayes, R.L.: Tutorial on experimental dynamic substructuring using the transmission simulator method. In: Proceedings of the 30th International Modal Analysis Conference (2012)CrossRef
19.
Sayın, B., Ciğeroğlu, E.: A new structural modification method with additional degrees of freedom for dynamic analysis of large systems. In: Proceedings of the 31st International Modal Analysis Conference (2013)
20.
Watanabe, K., Sato, H.: A modal analysis approach to nonlinear multi-degrees-of freedom system. J. Vib. Acoust. Stress. Reliab. Des. 110, 410–411 (1988)CrossRef
21.
Ferreira, J.V., Ewins, D.J., Nonlinear receptance coupling approach based on describing functions. In: Proceedings of the 14th International Modal Analysis Conference, Dearborn, Michigan, USA, pp. 1034–1040 (1996)
22.
Chong, Y.H., İmregün, M.: Coupling of non-linear substructures using variable modal parameters. Mech. Syst. Signal Process. 14, 731–746 (2000)CrossRef
23.
24.
Kuether, R.J., Allen, M.S.: Structural modification of nonlinear FEA subcomponents using nonlinear normal modes. In: Proceedings of the 31st International Modal Analysis Conference, Garden Grove, California, USA (2013)
25.
Kalaycıoğlu, T., Özgüven, H.N.: Nonlinear structural modification and nonlinear coupling. Mech. Syst. Signal Process. 46(2), 289–306 (2014)CrossRef
26.
Wenneker, F., Tiso, P.: A substructuring method for geometrically nonlinear structures. In: Proceedings of the 32nd International Modal Analysis Conference, Orlando, Florida, USA (2014)CrossRef
27.
Tepe, C., Ciğeroğlu, E.: Structural coupling of two-nonlinear structures. In: Proceedings of the 33rd International Modal Analysis Conference, Orlando, Florida, USA (2015)
28.
Kuether, R.J., Allen, M.S.: Modal substructuring of geometrically nonlinear finite-element models. AIAA J. 54(2), 691–702 (2016)CrossRef
29.
Okubo, N., Miyazaki, M.: Development of uncoupling technique and its application. In: Proceedings of 4th International Modal Analysis Conference (1986)
30.
Gontier, C., Bensaibi, M.: Time domain identification of a substructure from in situ analysis of the whole structure. Mech. Syst. Signal Process. 9(4), 379–396 (1995)CrossRef
31.
Maia, N.M.M., Silva, J.M.M., Ribeiro, A.M.R., Silva, P.L.C.: On the dynamic characterization of joints using uncoupling techniques. In: Proceedings of the 16th International Modal Analysis Conference. Santa Barbara, California, USA (1998)
32.
Kalling, P., Abrahamsson, T., McKelvey, T.: Subsystem state-space model identification and its sensitivity to test variability. In: Sas, P., De Munck, M. (eds.) Proceedings of ISMA 2004 – International Conference on Noise and Vibration Engineering, Leuven, Belgium, pp. 2729–2744 (2004)
33.
D’Ambrogio, W., Fregolent, A.: Promises and pitfalls of decoupling procedures. In: Proceedings of the 26th International Modal Analysis Conference (2008)
34.
Sjövall, P., Abrahamsson, T.: Substructure system identification from coupled system test data. Mech. Syst. Signal Process. 22(1), 15–33 (2008)CrossRef
35.
D’Ambrogio, W., Fregolent, A.: The role of interface DOFs in decoupling of substructures based on the dual domain decomposition. Mech. Syst. Signal Process. 24(7), 2035–2048 (2010)CrossRef
36.
Voormeeren, S.N., Rixen, D.J.: A dual approach to substructure decoupling techniques. In: Proceedings of the 28th International Modal Analysis Conference (2010)
37.
D’Ambrogio, W., Fregolent, A.: Direct decoupling of substructures using primal and dual formulation. In: Proceedings of the 29th International Modal Analysis Conference (2011)CrossRef
38.
Batista, F.C., Maia, N.M.M.: Uncoupling techniques for the dynamic characterization of sub-structures. In: Proceedings of the 29th International Modal Analysis Conference (2011)CrossRef
39.
D’Ambrogio, W., Fregolent, A.: Inverse dynamic substructuring using direct hybrid assembly in the frequency domain. Mech. Syst. Signal Process. 45(2), 360–377 (2014)CrossRef
40.
Law, M., Rentzsch, H., Ihlenfeldt, S., Putz, M.: Application of substructure decoupling techniques to predict mobile machine tool dynamics: numerical investigations. Procedia CIRP. 46, 537–540 (2016)CrossRef
41.
Law, M., Rentzsch, H., Ihlenfeldt, S.: Predicting mobile machine tool dynamics by experimental dynamic substructuring. Int. J. Mach. Tools Manuf. 108, 127–134 (2016)CrossRef
42.
Brunetti, J., Culla, A., D’Ambrogio, W., Fregolent, A.: Experimental dynamic substructuring of the Ampair wind turbine test bed. In: Proceedings of the 32nd International Modal Analysis Conference (2014)CrossRef
43.
D’Ambrogio, W., Fregolent, A.: Predicting the dynamics of flexible space payloads under different boundary conditions through substructure decoupling. In: Proceedings of the 35th International Modal Analysis Conference (2017)CrossRef
44.
45.
Kerschen, G., Worden, K., Vakakis, A.F., Golinval, J.C.: Past, present and future of nonlinear system identification in structural dynamics. Mech. Syst. Signal Process. 20(3), 505–592 (2006)CrossRef
46.
Noël, J.P., Kerschen, G.: 10 years of advances in nonlinear system identification in structural dynamics: a review. In: Proceedings of ISMA 2016 – International Conference on Noise and Vibration Engineering, Leuven, Belgium (2016)
47.
Richardson, M.N., Formenti, D.L.: Parameter estimation from frequency response measurements using rational fraction polynomials. In: Proceedings of the 1st International Modal Analysis Conference (1982)
48.
Arslan, Ö., Aykan, M., Özgüven, H.N.: Parametric identification of structural nonlinearities from measured frequency response data. Mech. Syst. Signal Process. 25(4), 1112–1125 (2011)CrossRef
49.
Tanrıkulu, Ö., Kuran, B., Özgüven, H.N., İmregün, M.: Forced harmonic response analysis of non-linear structures using describing functions. AIAA J. 31(7), 1313–1320 (1993)CrossRef
Metadata
Title
Experimental Verification of a Recently Developed FRF Decoupling Method for Nonlinear Systems
Authors
Taner Kalaycıoğlu
H. Nevzat Özgüven
Copyright Year
2018
Book
Dynamics of Coupled Structures, Volume 4

Print ISBN: 978-3-319-74653-1

Electronic ISBN: 978-3-319-74654-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-74654-8_4

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