Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties Determination


Comparison of the loss factor determination methods of the sandwich composite structure with polyethylene terephthalate core in the aspect of core material rheological parameters identification was the purpose of the study. Three frequency bandwidths n dB: 1 dB, 2 dB, 3 dB methods, the resonant amplitude method and the fit method of the response of the one degree of freedom model system are taken into considerations. Identification procedure, according to ASTM E756-2005 [1] based on experimental studies of the forced vibrations of the composite structure was presented in the paper. To determine the function of the complex shear modulus of the core material, the Nelder-Mead method is applied. Shear modulus and loss factor identification results were presented on the plots in the frequency domain. The results in a quantitative manner set the applied methods and their practical utility in order.

Share and Cite:

Marynowski, K. and Grochowska, K. (2015) Identification of Modal Loss Factor of a Sandwich Composite Structure with Polyethylene Terephthalate Core in the Aspect of Core Properties Determination. Materials Sciences and Applications, 6, 473-488. doi: 10.4236/msa.2015.66051.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] ASTM E756-2005 (2010) Standard Test Method for Measuring Vibration-Damping Properties of Materials. American Society of Test Materials, West Conshohocken.
[2] Jones, D.I.G. (2001) Handbook of Viscoelastic Vibration Damping. John Willey & Sons Ltd., Hoboken.
[3] Rao, M.D. (2003) Recent Applications of Viscoelastic Damping for Noise Control in Automobiles and Commercial Airplanes. Journal of Sound and Vibration, 262, 457-474.
[4] Martinez-Agirre, M. and Elejabarrieta, M.J. (2010) Characterisation and Modelling of Viscoelastically Damped Sandwich Structures. International Journal of Mechanical Science, 52, 1225-1233.
[5] Bagley, R.L. and Torvik, P.J. (1985) Fractional Calculus in the Transient Analysis of Viscoelastically Damped Structures. AIAA Journal, 23, 918-925.
[6] Cupia, P. and Nizio?, J. (1995) Vibration and Damping Analysis of a Three-Layered Composite Plate with a Viscoelastic Mid-Layer. Journal of Sound and Vibration, 183, 99-114.
[7] Pritz, T. (1996) Analysis of Four-Parameter Fractional Derivative Model of Real Solid Materials. Journal of Sound and Vibration, 195, 103-115.
[8] Marynowski, K. (2012) Dynamic Analysis of an Axially Moving Sandwich Beam with Viscoelastic Core. Composite Structures, 94, 2931-2936.
[9] Pritz, T. (2003) Five-Parameter Fractional Derivative Model for Polymeric Damping Materials. Journal of Sound and Vibration, 265, 935-952.
[10] Beda, T. and Chevalier, Y. (2004) New Methods for Identifying Rheological Parameter for Fractional Derivative Modeling of Viscoelastic Behavior. Mechanics of Time-Dependent Materials, 8, 105-118.
[11] Cortes, F. and Elejabarrieta, M.J. (2006) An Approximate Numerical Method for the Complex Eigenproblem in Systems Characterised by a Structural Damping Matrix. Journal of Sound and Vibration, 296, 166-182.
[12] Cortes, F. and Elejabarrieta, M.J. (2007) Viscoelastic Materials Characterisation Using the Seismic Response. Materials and Design, 28, 2054-2062.
[13] De Espindola, J.J., Bavastri, C.A. and De Oliveira Lopes, E.M. (2008) Design of Optimum Systems of Viscoelastic Vibration Absorbers for a Given Material Based on the Fractional Calculus Model. Journal of Vibration and Control, 14, 1607-1630.
[14] Monje, C.A., Chen, Y.Q., Vinagre, B.M., Xue, D. and Feliu, V. (2011) Fractional-Order Systems and Controls, Fundamentals and Applications. Springer.
[15] Ghanbari, M. and Haeri, M. (2011) Order and Pole Locator Estimation in Fractional Order Systems Using Bode Diagram. Signal Processing, 91, 191-202.
[16] Rossikhin, Y.A. and Shitikova, M.V. (2010) Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results. Applied Mechanics Reviews, 63, 010801.
[17] Ross, D., Ungar, E.E. and Kerwin Jr., E.M. (1959) Damping of Plate Flexural Vibrations by Means of Viscoelastic Laminae. Structural Damping, Section III, ASME, New York.

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.