A new, challenging benchmark for nonlinear system identification

[en] The progress accomplished during the past decade in nonlinear system identi fication in structural dynamics is considerable. The objective of the present paper is to consolidate this progress by challenging the community through a new benchmark structure exhibiting complex nonlinear dynamics. The proposed structure consists of two o ffset cantilevered beams connected by a highly flexible element. For increasing forcing amplitudes, the system sequentially features linear behaviour, localised nonlinearity associated with the buckling of the connecting element, and distributed nonlinearity resulting from large elastic deformations across the structure. A finite element-based code with time integration capabilities is made available at http://sem.org/TDIV-Nonlin.asp. This code permits the numerical simulation of the benchmark dynamics in response to arbitrary excitation signals.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Tiso, Paolo; ETH Zurich > Institute for Mechanical Systems

Noël, Jean-Philippe ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

A new, challenging benchmark for nonlinear system identification

Publication date :

2017

Journal title :

Mechanical Systems and Signal Processing

ISSN :

0888-3270

eISSN :

1096-1216

Publisher :

Academic Press, London, United Kingdom

Volume :

Pages :

185-193

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]

Available on ORBi :

since 23 September 2016

Statistics

Number of views

90 (10 by ULiège)

Number of downloads

2 (1 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

[1] Remmers, G.M., Belsheim, R.O., Effects of technique on reliability of mechanical impedance measurement. Shock Vib. Bull. 34:3 (1964), 37–58.
[2] Ewins, D.J., Griffin, J., A state of the art assessment of mobility measurement techniques – results for the mid-range structures (30–3000 Hz). J. Sound Vib. 78:2 (1981), 197–222.
[3] K. Ahlin, Round robin exercise on modal parameter extraction, in: Proceedings of the 14th International Modal Analysis Conference, Dearborn, MI, USA, 1996.
[4] E. Balmés, GARTEUR group on ground vibration testing – results from the test of a single structure by 12 laboratories in Europe, in: Proceedings of the 15th International Modal Analysis Conference, Orlando, FL, USA, 1997.
[5] S.J. Dyke, D. Bernal, J.L. Beck, C. Ventura, An experimental benchmark problem in structural health monitoring, in: Proceedings of the 3rd International Workshop on Structural Health Monitoring, Stanford, CA, USA, 2001.
[6] Molina, F.J., Pascual, R., Golinval, J.C., Description of the steelquake benchmark. Mech. Syst. Signal Process. 17:1 (2003), 77–82.
[7] Maeck, J., De Roeck, G., Description of Z24 benchmark. Mech. Syst. Signal Process. 17:1 (2003), 127–131.
[8] Li, S., Li, H., Liu, Y., Lan, C., Zhou, W., Ou, J., SMC structural health monitoring benchmark problem using monitored data from an actual cable-stayed bridge. Struct. Control Health Monit. 21 (2014), 156–172.
[9] Smith, W.A., Randall, R.B., Rolling element bearing diagnostics using the Case Western Reserve University data: a benchmark study. Mech. Syst. Signal Process. 64–65 (2015), 100–131.
[10] J. Griffin, D.J. Ewins, Workshop on benchmark experiments in contact mechanics as applied to gas turbine engines, Technical report, Air Force Office of Scientific Research, 2002.
[11] M.J. Starr, M.R. Brake, D.J. Segalman, L.A. Bergman, D.J. Ewins, Proceedings of the third international workshop on jointed structures, Technical report, Sandia National Laboratories, 2013.
[12] R. Brincker, P. Andersen, Ambient response analysis of the Heritage Court Tower Building structure, in: Proceedings of the 18th International Modal Analysis Conference, San Antonio, TX, USA, 2000.
[13] R.L. Mayes, An introduction to the SEM Substructures Focus Group test bed – the Ampair 600 wind turbine, in: Proceedings of the 30th International Modal Analysis Conference, Jacksonville, FL, USA, 2012.
[14] Noël, J.P., Kerschen, G., Nonlinear system identification in structural dynamics: 10 more years of progress. Mech. Syst. Signal Process., 2016 (in press).
[15] Thouverez, F., Presentation of the ECL benchmark. Mech. Syst. Signal Process. 17:1 (2003), 195–202.
[16] Golinval, J.C., Link, M., COST action F3 structural dynamics (1997–2001) – an European co-operation in the field of science and technology. Mech. Syst. Signal Process. 17:1 (2003), 3–7.
[17] Sracic, M.W., Allen, M.S., Identifying parameters of multi-degree-of freedom nonlinear structural dynamic systems using linear time periodic approximations. Mech. Syst. Signal Process. 46 (2014), 325–343.
[18] Y. Chen, V. Yaghoubi, A. Linderholt, T. Abrahamsson, Model calibration of a locally non-linear structure utilizing multi harmonic response data, in: Proceedings of the 32nd International Modal Analysis Conference, Orlando, FL, USA, 2014.
[19] Mian, H.H., Wang, G., Ye, Z., Numerical investigation of structural geometric nonlinearity effect in high-aspect-ratio wing using CFD/CSD coupled approach. J. Fluids Struct. 49 (2014), 186–201.
[20] Manolas, D.I., Rizioris, V.A., Voutsinas, S.G., Assessing the importance of geometric nonlinear effects in the prediction of wind turbine blade loads. J. Comput. Nonlinear Dyn., 10(4), 2015, 041008.
[21] Freire, A.M.S., Negrão, J.H.O., Lopes, A.V., Geometrical nonlinearities on the static analysis of highly flexible steel cable-stayed bridges. Comput. Struct. 84 (2006), 2128–2140.
[22] Keber, M., Wiercigroch, M., Dynamics of a vertical riser with weak structural nonlinearity excited by wakes. J. Sound Vib. 315 (2008), 685–699.
[23] C. Grappasonni, J.P. Noël, G. Kerschen, Subspace and nonlinear-normal-modes-based identification of a beam with softening-hardening behaviour, in: Proceedings of the 32nd International Modal Analysis Conference, Orlando, FL, USA, 2014.
[24] Cho, H., Jeong, B., Yu, M., Vakakis, A.F., McFarland, D.M., Bergman, L.A., Nonlinear hardening and softening resonances in micromechanical cantilever-nanotube systems originated from nanoscale geometric nonlinearities. Int. J. Solids Struct. 49:15–16 (2012), 2059–2065.
[25] Wiebe, R., Virgin, L.N., Spottswood, S.M., Stochastic interrogation of competing responses in a nonlinear distributed system. Nonlinear Dyn. 79 (2015), 607–615.
[26] Virgin, L.N., Santillan, S.T., Plaut, R.H., Vibration isolation using extreme geometric nonlinearity. J. Sound Vib. 315 (2008), 685–699.
[27] Oumbé Tékam, G.T., Tchawou Tchuisseu, E.B., Kitio Kwuimy, C.A., Woafo, P., Analysis of an electromechanical energy harvester system with geometric and ferroresonant nonlinearities. Nonlinear Dyn. 76 (2014), 1561–1568.
[28] Kurt, M., Eriten, M., McFarland, D.M., Bergman, L.A., Vakakis, A.F., Methodology for model updating of mechanical components with local nonlinearities. J. Sound Vib. 357 (2015), 331–348.
[29] Tiso, P., Finite Element Based Reduction Methods for Static and Dynamic Analysis of Thin-walled Structures (Ph.D thesis). 2006, Delft University, Delft, The Netherlands.
[30] Allman, D.J., A compatible triangular element including vertex rotations for plane. Comput. Struct. 19 (1984), 1–8.
[31] de Borst, R., Crisfield, M.A., Remmers, J.J.C., Verhoosel, C.V., Non- Linear Finite Element Analysis of Solids and Structures. 2012, John Wiley & Sons, Chichester, United Kingdom.