Abstract
Damping presents one of the most important physical aspects to model and estimate, since it plays a large role in determining the performance of a dynamic system and the amplitude of vibrations. The present study employs the modal strain energy method to estimate the modal damping associated with the localized dissipative interfaces of a global linear structure. This method is accurate in the case of proportional or classical damping model. But in the real case when modes are coupled with damping due to the localization of the dissipation , as in the case of most assembled structures, this method may present significant errors. In this paper an appropriation method is proposed and associated to the modal strain energy method in order to get a good estimation of the modal damping . The impact of appropriation on the modal damping estimation in the case of non-proportional viscous damping model is studied for a multi-degree of freedom system. Results are compared with the reference one obtained by the state space method. Simulated academic examples, where accurate estimations of the exact solutions are available, will be used to illustrate the methodology and to explore the potential difficulties that may arise in more complex industrial applications.
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References
Adhikari S (2013) Structural dynamic analysis with generalized damping models: analysis. Wiley
Bograd S, Reuss P, Schmidt A, Gaul L, Mayer M (2011) Modeling the dynamics of mechanical joints. Mech Syst Signal Process 25(8):2801–2826
Caignot A, Ladeveze P, Neron D, Durand J-F (2010) Virtual testing for the prediction of damping in joints. Eng Comput 5:621–644.15
Dokainish MA, Mansour WM (1995) A modified MSE method for viscoelastic systems: a weighted stiffness matrix approach. J Vib Acoust 1001:227
Ewins DJ (1995) Modal testing: theory and practice, vol 6. Research studies press, Letchworth
Géradin M, Rixen DJ (2014) Mechanical vibrations: theory and application to structural dynamics. Wiley
Johnson CD, Kienholz DA (1982) Finite element prediction of damping in structures with constrained viscoelastic layers. AIAA J 20(9):1284–1290
Krifa M, Bouhaddi N, Cogan S (2015) Estimation of modal damping for structures with localized dissipation. In: Special topics in structural dynamics, vol 6. Springer International Publishing, pp 179–191
Mead DJ (1999) Passive vibration control. Wiley
Piranda J (2001) Analyse modale expérimentale. Techniques de l’ingénieur 6180:1–29
Rayleigh JWSB (1896) The theory of sound, vol 2. Macmillan
Ungar EE, Kerwin EM Jr (1962) Loss factors of viscoelastic systems in terms of energy concepts. J Acoust Soc Am 34(7):954–957
Acknowledgments
Authors are grateful to the National Research Agency for their financial support of this project (contract ANR-12-MONU-00016-01).
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Krifa, M., Bouhaddi, N., Cogan, S. (2017). Appropriation Effects in the Estimation of Modal Damping. In: Fakhfakh, T., Chaari, F., Walha, L., Abdennadher, M., Abbes, M., Haddar, M. (eds) Advances in Acoustics and Vibration. Applied Condition Monitoring, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-41459-1_18
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DOI: https://doi.org/10.1007/978-3-319-41459-1_18
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