Nonlinear system identification; Nonlinear modes; Force appropriation; Brake-Reuss beam; jointed structures
Abstract :
[en] Two approaches for experimental identification of the nonlinear dynamical characteristics of jointed structures are investigated, (a) Nonlinear Modal Testing, (b) State-Space Model Identification. Both require only minimal a priori knowledge of the specimen. For method (a), the definition of nonlinear modes as periodic motions is used, in its generalized formulation recently proposed for nonconservative systems. The theoretically required negative damping compensating the frictional dissipation is experimentally realized by properly controlled excitation. This permits the extraction of modal frequencies, damping ratios and vibrational deflection shapes as a function of the vibration level. For method (b), a state-space model with multivariate polynomial nonlinear terms is identified from the vibration response to a properly designed excitation signal. Both methods are applied to a structure with bolted joints. The quality of the extracted modal and state-space models, respectively, is assessed by comparing model-based predictions of the forced vibration response to reference measurements.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Scheel, Maren; University of Stuttgart
Kleyman, Gleb; University of Hannover
Tatar, Ali
Brake, Matthew; Rice University
Peter, Simon; University of Stuttgart
Noël, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Allen, Matthew; University of Wisconsin-Madison
Krack, Malte; University of Stuttgart
Language :
English
Title :
System identification of jointed structures: Nonlinear modal testing vs. State-space model identification
Publication date :
February 2018
Event name :
International Modal Analysis Conference (IMAC) XXXVI
Event organizer :
Society for Experimental Mechanics (SEM)
Event place :
Orlando, United States - Florida
Event date :
du 12 février au 15 février 2018
Audience :
International
Main work title :
Proceedings of the International Modal Analysis Conference (IMAC) XXXV
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Bibliography
Brake, M.R.W.: The Mechanics of Jointed Structures. Springer, Cham (2018)
Noël, J.-P., Kerschen, G.: Nonlinear system identification in structural dynamics: 10 more years of progress. Mech. Syst. Signal Process. 83, 2–35 (2017)
Krack, M.: Nonlinear modal analysis of nonconservative systems: extension of the periodic motion concept. Comput. Struct. 154, 59–71 (2015)
Noël, J.-P., Esfahani, A., Kerschen, G., Schoukens, J.: A nonlinear state-space approach to hysteresis identification. Mech. Syst. Signal Process. 84, 171–1847 (2017)
Scheel, M., Peter, S., Leine, R.I., Krack, M.: A phase resonance approach for modal testing of structures with nonlinear dissipation. J. Sound Vib. (2018) (submitted)
Brake, M.R.W., Reuss, P., Segalman, D.J., Gaul, L.: Variability and repeatability of jointed structures with frictional interfaces. In: Allen, M. (ed.) Dynamics of Coupled Structures, vol. 1, pp. 245–252. Springer, Cham (2014)
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