Abstract
A systematic methodology is applied, leading to an accurate prediction of the dynamic response of a large and geometrically complex mechanical structures (e.g., a vehicle superstructure supported on a given chassis). The basic idea is to first measure the acceleration time histories at the connection points of the vehicle superstructure with its suspension system and use them subsequently as a base excitation in a finite element model of the superstructure. The reliability of the methodology applied was tested in a small scale nonlinear laboratory vehicle model. In this model, first the study is purely numerical and the emphasis is placed in demonstrating and verifying the accuracy and validity of the methodology applied. Then, the method is applied and examined, using real measurements. Next, the method applied in the superstructure of a real large military vehicle. The vehicle superstructure is first discretized by finite elements. The model is then updated through an experimental modal analysis procedure in a support-free state. Then, a series of experimental trials is performed in real operating conditions, aimed at recording the acceleration time histories at the connection points of the superstructure with the chassis. These time histories are used as a ground excitation for the FE model of the superstructure and the stresses developed are evaluated. In this way, the critical points of the superstructure can be identified by numerical means. The reliability of the methodology applied was tested by placing strain gauges at the critical points of the superstructure and performing a new set of measurements for the vehicle under similar loading conditions. Direct comparison of the numerical and experimental data obtained in this manner verified that the hybrid methodology applied is quite reliable.
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References
Adams ML (1980) Nonlinear dynamics of flexible multi-bearing rotors. J Sound Vib 71:129–144
Craig RR Jr (1981) Structural dynamics – an introduction to computer methods. Wiley, New York
Craig RR Jr (1987) A review of time-domain and frequency domain component mode synthesis methods. Int J Anal Exp Modal Anal 2:59–72
Vermot des Roches G, Bianchi JP, Balmes E, Lemaire R, Pasquet T (2010) Using component mode in a system design process. In: Proceedings of the IMAC-XXVIII 2010, Jacksonville
Papalukopoulos C, Natsiavas S (2007) Dynamics of large scale mechanical models using multi-level substructuring. ASME J Comput Nonlinear Dyn 2:40–51
Verros G, Natsiavas S (2002) Ride dynamics of nonlinear vehicle models using component mode synthesis. ASME J Vib Acoust 124:427–434
Craig RR Jr (1977) Methods of component mode synthesis. Shock Vib Dig J 9:3–10
Klosterman A (1972) A combined experimental and analytical procedure for improving automotive system dynamics. SAE Technical Paper 720093
Craig RR Jr, Chang CJ (1977) Substructure coupling for dynamic analysis and testing. Technical report CR2781, NASA
MacNeal RH (1971) A hybrid method of component mode synthesis. J Comput Struct 1:581–601
Bennighof JK, Kaplan MF (1998) Frequency window implementation of adaptive multi-level substructuring. ASME J Vib Acoust 120: 409–418
Cuppens K, Sas P, Hermans L (2000) Evaluation of FRF based substructuring and modal synthesis technique applied to vehicle FE data, ISMA 2000. K.U. Leuven, Belgium, pp 1143–1150
Farhat C, Geradin M (1994) On a component mode synthesis method and its application to incompatible structures. Comput Struct 51:459–473
Giagopoulos D, Natsiavas S (2007) Hybrid (numerical-experimental) modeling of complex structures with linear and nonlinear components. Nonlinear Dyn 47:193–217
Ewins DJ (1984) Modal testing: theory and practice. Research Studies Press, Somerset
Papadimitriou C, Ntotsios E, Giagopoulos D, Natsiavas S (2012) Variability of updated finite element models and their predictions consistent with vibration measurements. Struct Control Health Monit 19:630–654
Giagopoulos D, Papadioti D-Ch, Papadimitriou C, Natsiavas S (2013) Bayesian uncertainty quantification and propagation in nonlinear structural dynamics. In: Proceedings of the IMAC-XXXI 2013, Garden Grove
DYNAMIS 3.1.1 (2013) Solver reference guide. DTECH, Thessaloniki
MSC.NASTRAN (2008) Quick reference guide. MSC.SOFTWARE
Mottershead JE, Friswell MI (1997) Model updating in structural dynamics: a survey. J Sound Vib 167:347–375
Mohanty P, Rixen DJ (2005) Identifying mode shapes and modal frequencies by operational modal analysis in the presence of harmonic excitation. Exp Mech 45:213–220
Spottswood SM, Allemang RJ (2007) On the investigation of some parameter identification and experimental modal filtering issues for nonlinear reduced order models. Exp Mech 47:511–521
Richardson MH, Formenti DL (1985) Global curve fitting of frequency response measurements using the rational fraction polynomial method. In: Third IMAC conference, Orlando
Huizinga ATMJM, van Campen DH, Kraker A (1997) Application of hybrid frequency domain substructuring for modelling an automotive engine suspension. ASME J Vib Acoust 119:304–310
Jetmundsen B, Bielawa RL, Flannelly WG (1988) Generalized frequency domain substructure synthesis. J Am Helicopter Soc 85:55–64
Ren Y, Beards CF (1995) On substructure synthesis with FRF data. J Sound Vib 185:845–866
Giagopoulos D, Natsiavas S (2013) Dynamic analysis and identification of critical points in the superstructure of a vehicle through FE modeling and mobility tests. In: Proceedings of the ASME IDETC/CIE 2013. Portland
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This research was supported by a grant from the Hellenic Vehicle Industry (ELVO S.A.).
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Giagopoulos, D., Natsiavas, S. (2015). Dynamic Analysis of Complex Mechanical Structures Using a Combination of Numerical and Experimental Techniques. In: Mains, M. (eds) Topics in Modal Analysis, Volume 10. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15251-6_4
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DOI: https://doi.org/10.1007/978-3-319-15251-6_4
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