Abstract
Damping still remains one of the least well-understood aspects of general vibration analysis. The effects of damping are clear, but the characterization of damping is a puzzle waiting to be solved. A major reason for this is that, in contrast with inertia and stiffness forces, it is not clear which state variables are relevant to determine the damping forces. In this paper, a new hybrid viscous-structural damping identification method is proposed. The proposed method is a direct method and gives explicit structural and viscous damping matrices. The effectiveness of the proposed structural damping identification method is demonstrated by two numerical examples. First, numerical study of lumped mass system is presented which is followed by a numerical study of fixed-fixed beam. The effects of coordinate incompleteness and different level of damping are investigated. The results have shown that the proposed method is able to identify accurately the damping of the system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Rayleigh L (1897) Theory of sound (two volumes). Dover Publications, New York
Bert CW (1973) Material damping: An introduction review of mathematical models, measures and experimental techniques. J Sound Vib 29:129–153
Heckl M (1962) Measurements of absorption coefficients of plates. J Sound Acoust Soc Am 34:803–808
Oliveto G, Greco A (2002) Some observations on the characterization of structural damping. J Sound Vib 256:391–415
Maia NMM, Silva JMM, Ribeiro AMR (1998) On a general model for damping. J Sound Vib 218:749–767
Agrawal OP, Yuan L (2002) A numerical scheme for dynamic systems containing fractional derivatives. J Vib Acoust 124:321–324
Adhikari S, Woodhouse J (2003) Quantification of non-viscous damping in discrete linear systems. J Sound Vib 260:499–518
Chen SY, Ju MS, Tsuei YG (1996) Estimation of mass, stiffness and damping matrices from frequency response functions. J Vib Acoust 118:78–82
Minas C, Inman DJ (1991) Identification of viscous damping in structure from modal information. J Vib Acoust 113:219–224
Beliveau JG (1976) Identification of viscous damping in structures from modal information. J Appl Mech 43:335–338
Lancaster P (1961) Expression for damping matrices in linear vibration. J Aerosp Sci 28:256
Pilkey, D.F., 1998. Computation of damping matrix for finite element model updating. PhD thesis, Virginia Polytechnic Institute and State University, USA
Pilkey DF, Inman DJ, Friswell MI (1998) The direct updating of damping and stiffness matrices. AIAA J 36:491–493
Oho T, Okuma M, Shi Q (1990) Development of the experimental spatial matrix identification method. J Sound Vib 299:5–12
Lee JH, Kim J (2001) Development and validation of a new experimental method to identify damping matrices of a dynamic system. J Sound Vib 246:505–524
Adhikari S, Woodhouse J (2000) Identification of damping Part 1, Viscous Damping. J Sound Vib 243:43–61
Adhikari S, Woodhouse J (2000) Identification of damping Part 2, Non-Viscous Damping. J Sound Vib 243:63–88
Phani S, Woodhouse J (2007) Viscous damping identification in linear vibration. J Sound Vib 303:475–500
Imregun M, Visser WJ, Ewins DJ (1995) Finite element model updating using frequency response function data-1: Theory and initial investigation. Mech Syst Signal Process 9:187–202
Lin RM, Ewins DJ (1994) Analytical model improvement using frequency response functions. Mech Syst Signal Process 8:437–458
Arora V, Singh SP, Kundra TK (2009) Damped model updating using complex updating parameters. J Sound Vib 320:438–451
Arora V, Singh SP, Kundra TK (2009) Finite element model updating with damping identification. J Sound Vib 324:1111–1123
Pradhan S, Modak SV (2012) A method for damping matrix identification using frequency response data. Mech Syst Signal Process 33:69–82
Arora V (2014) Structural damping identification using normal FRFs. Int J Solids Struct 51:133–143
Friswell MI , Garvey SD , Penny JET (1998) The convergence of the iterated IRS technique. J Sound Vib 1211:123–132
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Arora, V. (2015). Hybrid Viscous-Structural Damping Identification Method. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-09918-7_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09917-0
Online ISBN: 978-3-319-09918-7
eBook Packages: EngineeringEngineering (R0)