Abstract
This research compares spatial damping identification methods, both theoretically and experimentally. In contrast to the commonly used damping methods (modal, proportional) the spatial damping information improves structural models with a known location of the damping sources. The real case robustness of full FRF matrix and local equation of motion methods were tested against: modal and spatial incompleteness, differences in viscous and hysteretic damping models and the effect of damping treatments. To obtain accurate results, a careful analysis of measurements in terms of reciprocity in the raw measurements, and in terms of how to preserve symmetry has to be done. It was found that full FRF matrix needs to be symmetrisized due to small deviations in reciprocity before the damping identification. Full frequency response function (FRF) matrix methods (e.g.: Lee-Kim) can identify the spatial damping if spatial and modal incompleteness are carefully evaluated, but the measurement effort increases with second order and, consequently, the size of the FRF matrix.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ewins, D.: Modal Testing: Theory, Practice and Application, 2nd edn. Research Studies Press, Philadelphia, PA (2000)
Slavič, J., Simonovski, I., Boltežar, M.: Damping identification using a continuous wavelet transform: application to real data. J. Sound Vib. 262 (2), 291–307 (2003)
Slavič, J., Boltežar, M.: Damping identification with the Morlet-wave. Mech. Syst. Signal Process. 25 (5), 1632–1645 (2011)
Mihalec, M., Slavič, J., Boltežar, M.: Synchrosqueezed wavelet transform for damping identification. Mech. Syst. Signal Process. 80, 324–334 (2016)
Srikantha Phani, A., Woodhouse, J.: Viscous damping identification in linear vibration. J. Sound Vib. 303 (3–5), 475–500 (2007)
Arora, V., Singh, S., Kundra, T.: Finite element model updating with damping identification. J. Sound Vib. 324 (3–5), 1111–1123 (2009)
Pradhan, S., Modak, S.: A method for damping matrix identification using frequency response data. Mech. Syst. Signal Process. 33, 69–82 (2012)
Friswell, M., Mottershead, J.: Finite Element Model Updating in Structural Dynamics. Kluwer, Dordrecht (1995)
Mottershead, J., Link, M., Friswell, M.: The sensitivity method in finite element model updating: a tutorial. Mech. Syst. Signal Process. 25 (7), 2275–2296 (2011)
Lee, J.-H., Kim, J.: Development and validation of a new experimental method to identify damping matrices of a dynamic system. J. Sound Vib. 246, 505–524 (2001)
Srikantha Phani, A., Woodhouse, J.: Experimental identification of viscous damping in linear vibration. J. Sound Vib. 319 (3–5), 832–849 (2009)
Ozgen, G., Kim, J.: Error analysis and feasibility study of dynamic stiffness matrix-based damping matrix identification. J. Sound Vib. 320, 60–83 (2009)
Pilkey, D., Inman, D.: A survey of damping matrix identification. In: 16th International Modal Analysis Conference, SEM (1998)
Berman, A., Flannelly, W.: Theory of incomplete models of dynamic structures. AIAA J. 9 (8), 1481–1487 (1971)
Prandina, M., Mottershead, J., Bonisoli, E.: An assessment of damping identification methods. J. Sound Vib. 323 (3–5), 662–676 (2009)
Rijnen, M., Pasteuning, F., Fey, R., van Schothorst, G., Nijmeijer, H.: A numerical and experimental study on viscoelastic damping of a 3D structure. J. Sound Vib. 349, 80–98 (2015)
3MTM Viscoelastic Damping Polymeres 112–130 Technical Data (2012)
Cladé, P.: pyDAQmx: A Python interface to the National Instruments DAQmx driver (2015)
Woodhouse, J.: Linear damping models for structural vibration. J. Sound Vib. 215 (3), 547–569 (1998)
Udwadia, F., A note on nonproportional damping. J. Eng. Mech. 135, 11 (2009). http://ascelibrary.org/doi/10.1061/%28ASCE%290733-9399%282009%29135%3A11%281248%29
Bar-Itzhack, I.: Matrix symmetrization. J. Guid. Control. Dyn. 21 (1), 178–179 (1998)
Berman, A.: System identification of structural dynamic models theoretical and practical bounds. In: 25th Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics, Reston, VA (1984)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Brumat, M., Slavič, J., Boltežar, M. (2017). Frequency Based Spatial Damping Identification—Theoretical and Experimental Comparison. In: Harvie, J., Baqersad, J. (eds) Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54735-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-54735-0_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-54734-3
Online ISBN: 978-3-319-54735-0
eBook Packages: EngineeringEngineering (R0)