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On the experimental determination of dynamical properties of laminated glass

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Annals of Solid and Structural Mechanics

Abstract

In this work, we address experimentally the determination of the dynamical properties, in particular natural frequencies and damping factors, of laminated structural glass. Various specimens, coming from different productions and manufactures, are investigated. Damped free vibrations experiments are performed, where the excitation is provided by an instrumented hammer. The boundary conditions are free–free (the specimens lay on a very flexible sponge substrate). The dynamical characteristics are determined by last squares fitting of time histories, a technique that is very simple, fast and provides very good results. Finally, two theoretical models (a two-layer beam model and a 2D finite element model) are employed to interpret the experimental results, and to determine the (dynamical) elastic properties of the interlayer (which in the present case is made of PVB), which are very difficult to be determined directly.

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References

  1. Broch JT (1972) Mechanical vibration and shock measurements. Brüel & Kjær, Søborg

    Google Scholar 

  2. Bedon C, Morassi A (2014) Dynamic testing and parameter identification of a base-isolated bridge. Eng Struct 60:85–99

    Article  Google Scholar 

  3. Ewins DJ (2000) Modal tesing—theory, practise and application, 2nd edn. Research Studies Press LDT, Baldock

    Google Scholar 

  4. Benedettini F, Gentile C (2011) Operational modal testing and FE model tuning of a cable-stayed bridge. Eng Struct 33:2063–2073

    Article  Google Scholar 

  5. Gentile C, Saisi A (2013) Operational modal testing of historic structures at different levels of excitation. Constr Build Mater 48:1273–1285

    Article  Google Scholar 

  6. Gindy M, Vaccaro R, Nassif H, Velde J (2008) A state-space approach for deriving bridge displacement from acceleration. Comput Aided Civ Inf 23:281–290

    Article  Google Scholar 

  7. Kropp PK (1977) Experimental study of the dynamic response of highway bridges. Joint highway research Project No. C-36-56S, Purdue University, Indiana

  8. Stewart JP, Chiou SJ, Bray JD, Graves RW, Somerville PG, Abrahamson NA (2002) Ground motion evaluation procedures for performance-based design. Soil. Dyn Earthq Eng 22:765–772

    Article  Google Scholar 

  9. Boore DM, Joyner WB, Fumal TE (1997) Equations for estimating horizontal response spectra and peak acceleration from western north American earthquake: a summary of recent work. Seismol Res Lett 68:128–153

    Article  Google Scholar 

  10. Ganguly V, Schmitz TL (2014) Phase correction for frequency response function measurements. Precis Eng 38:409–413

    Article  Google Scholar 

  11. Lam KM, Li A (2009) Mode shape correction for wind-induced dynamic responses of tall buildings using time-domain computation and wind tunnel tests. J Sound Vib 322:740–755

    Article  Google Scholar 

  12. Sedlacek G, Gulvanessian H, Blank K, Laufs W (2003) Glass for structural design. Wiley, New York

    Google Scholar 

  13. Norville HS, King KW, Swofford JL (1998) Behavior and strength of laminated glass. ASCE J Eng Mech 124:46–53

    Article  Google Scholar 

  14. Montenero A, Aielli M, Gnappi G, Lorenzi A, Sglavo VM, Royer-Carfagni G (2005) Mechanical properties of PbO–ZnO–P2O5 glasses. Phys Chem Glasses 46(5):538–543

    Google Scholar 

  15. Ivanov IV (2006) Analysis, modelling, and optimization of laminated glasses as plane beam. Int J Solids Struct 43:6887–6907

    Article  MATH  Google Scholar 

  16. Ivanov IV, Velchev DS, Sadowski T, Knec M (2011) Computational models of laminated glass plate under transverse static loading. In: Altenbach H, Eremeyev V (eds) Shell-like structures non-classical theories and applications. Advanced structured materials, vol 15. Springer, Berlin, pp 469–490. doi:10.1007/978-3-642-21855-2

    Google Scholar 

  17. Galuppi L, Massimiani S, Royer-Carfagni G (2014) Buckling phenomena in double curved cold-bent glass. Int J Non Linear Mech 64:70–84

    Article  Google Scholar 

  18. Aenlle ML, Pelayo F (2013) Frequency response of laminated glass elements: analytical modeling and effective thickness. Appl Mech Rev 65(2) (Article number 020802)

  19. Hooper PA, Sukhram RAM, Blackman BRK, Dear JP (2012) On the blast resistance of laminated glass. Int J Solids Struct 49:899–918

    Article  Google Scholar 

  20. Venkatanarayanan PS, Stanley AJ (2012) Intermediate velocity bullet impact response of laminated glass fiber reinforced hybrid (HEP) resin carbon nano composite. Aerosp Sci Technol 21(1):75–83

    Article  Google Scholar 

  21. Zhang X, Hao H, Mai G (2013) Parametric study of laminated glass window response to blast loads. Eng Struct 56:1707–1717

    Article  Google Scholar 

  22. Akrout A, Hammami L, Tahar MB, Haddar M (2009) Vibro-acoustic behaviour of laminated double glazing enclosing a visco-thermal fluid cavity. Appl Acoust 70:82–96

    Article  Google Scholar 

  23. De Belder K, Pintelon R, Demol C, Roose P (2010) Estimation of the equivalent complex modulus of laminated glass beams and its application to sound transmission loss prediction. Mech Syst Signal Process 24:809–822

    Article  Google Scholar 

  24. Barredo J, Soriano M, Gomez MS, Hermanns L (2011) Viscoelastic vibration damping identification methods. Application to laminated glass. Procedia Eng 10:3208–3213

    Article  Google Scholar 

  25. Hermanns L, Fernández J, Fraile A, Gómez MS (2012) Measurement and prediction of the dynamic behaviour of laminated glass. In: Civil-comp proceedings, vol 99

  26. Andreozzi L, Briccoli Bati S, Fagone M, Ranocchiai G, Zulli F (2014) Dynamic torsion tests to characterize the thermo-viscoelastic properties of polymeric interlayers for laminated glass. Constr Build Mater 65:1–13

    Article  Google Scholar 

  27. Keller U (2001) Improved sound reduction with laminated glass. In Proceedings of glass processing days, 18–21 June 2001, pp 735–737

  28. Lenci S, Clementi F (2012) Effects of shear stiffness, rotatory and axial inertia, and interface stiffness on free vibrations of a two-layer beam. J Sound Vib 331:5247–5267

    Article  Google Scholar 

  29. Lenci S, Clementi F (2012) On flexural vibrations of shear deformable laminated beams. In: ASME international mechanical engineering congress and exposition (IMECE 2012), Houston, Texas, USA, 9–15 Nov 2012, paper no. IMECE 2012-86617. ISBN 978-0-7918-4520-2

  30. Lenci S, Rega G (2013) An asymptotic model for the free vibrations of a two-layer beam. Eur J Mech A/Solids 42:441–453

    Article  MathSciNet  Google Scholar 

  31. Lenci S, Warminski J (2012) Free and forced nonlinear oscillations of a two-layer composite beam with interface slip. Nonlinear Dyn 70(3):2071–2087

    Article  MathSciNet  Google Scholar 

  32. Lenci S, Clementi F, Warminski J (2014) Nonlinear free dynamics of a two-layer composite beam with different boundary conditions. Meccanica 50:675–688

    Article  MathSciNet  Google Scholar 

  33. Hooper JA (1973) On the bending of the architectural laminated glass. Int J Mech Sci 15(4):309–323

    Article  Google Scholar 

  34. Xu J, Li Y, Liu B, Zhu M, Ge D (2011) Experimental study on mechanical behavior of PVB laminated glass under quasi-static and dynamic loadings. Compos Part B 42:302–308

    Article  Google Scholar 

  35. Shitanoki Y, Bennison SJ, Koike Y (2014) A practical, nondestructive method to determine the shear relaxation modulus behavior of polymeric interlayers for laminated glass. Polym Test 37:59–67

    Article  Google Scholar 

  36. Assaf S, Guerich M (2008) Influence of temperature on sound transmission through viscoelastic sandwich plates. In Proceedings of Acoustics 08, Paris, June 29–July 04, 2008

  37. Behr RA, Linden MP (1986) Load duration and interlayer thickness effects on laminated glass. J Struct Eng ASCE 112(6):1141–1153

    Article  Google Scholar 

  38. Galuppi L, Royer-Carfagni G (2012) Laminated beams with viscoelastic interlayer. Int J Solids Struct 49:2367–2645

    Article  Google Scholar 

  39. Galuppi L, Royer-Carfagni G (2013) The design of laminated glass under time dependent loading. Int J Mech Sci 68:67–75

    Article  Google Scholar 

  40. Istruzioni per la Progettazione, l’Esecuzione ed il Controllo di Costruzioni con Elementi Strutturali di Vetro. Document CNR-DT210/2013, issued by the Italian Council or Research (CNR), 2013 (in Italian)

  41. Aşik MZ (2003) Laminated glass plates: revealing of nonlinear behavior. Comput Struct 81:2659–2671

    Article  Google Scholar 

  42. Aşik MZ, Tezcan S (2005) A mathematical model for the behavior of laminated glass beams. Comput Struct 83:1742–1753

    Article  Google Scholar 

  43. Jalham IS, Alsaed O (2011) The effect of glass plate thickness and type and thickness of the bonding interlayer on the mechanical behaviour of laminated glass. New J Glass Ceram 1(2):40–48

    Article  Google Scholar 

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Acknowledgments

This work has been partially supported by the Italian Ministry of Education, University and Research (MIUR) by the PRIN funded program 2010/11 N.2010MBJK5B “Dynamics, stability and control of flexible structures”.

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Authors and Affiliations

  1. Polytechnic University of Marche, Ancona, Italy

    Stefano Lenci, Laura Consolini & Francesco Clementi

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  1. Stefano Lenci
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  2. Laura Consolini
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  3. Francesco Clementi
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Correspondence to Stefano Lenci.

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Lenci, S., Consolini, L. & Clementi, F. On the experimental determination of dynamical properties of laminated glass. Ann. Solid Struct. Mech. 7, 27–43 (2015). https://doi.org/10.1007/s12356-015-0040-z

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  • DOI: https://doi.org/10.1007/s12356-015-0040-z

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