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Review Articles

Frequency Response of Laminated Glass Elements: Analytical Modeling and Effective Thickness

[+] Author and Article Information
M. L. Aenlle

e-mail: aenlle@uniovi.es

F. Pelayo

Department of Construction and
Manufacturing Engineering,
University of Oviedo,
Campus de Gijón,
Zona Oeste, Edificio 7,
Gijón 33203, Spain

1Corresponding author.

Manuscript received August 9, 2012; final manuscript received February 21, 2013; published online April 11, 2013. Editor: Harry Dankowicz.

Appl. Mech. Rev 65(2), 020802 (Apr 11, 2013) (13 pages) Paper No: AMR-12-1040; doi: 10.1115/1.4023929 History: Received August 09, 2012; Revised February 21, 2013

Laminated glass elements are sandwich structures where the glass presents linear-elastic behavior, whereas the polymer interlayer is, in general, a linear-viscoelastic material. Several analytical models have been proposed since the 1950s to determine the response of laminated glass elements to both frequency and thermal conditions. In this paper, it is proved that Ross, Kerwin, and Ungar's model can be considered as a particular case of the Mead and Markus model when the exponential decay rate per unit length is neglected. The predictions of these models are compared with those obtained from operational modal tests carried out on a laminated glass beam at different temperatures. Finally, a new effective thickness for the dynamic behavior of laminated glass beams, which allows the determination of the dynamic response using a simple monolithic elastic model, is proposed.

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Figures

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Fig. 1

Laminated-glass beam

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Fig. 2

Tensile and shear moduli of PVB

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Fig. 3

Exponential decay rate and wavenumber for mode 1

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Fig. 4

Exponential decay rate and wavenumber for mode 2

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Fig. 5

Exponential decay rate and wavenumber for mode 3

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Fig. 6

Exponential decay rate and wavenumber for mode 4

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Fig. 7

Natural frequencies and loss factors for mode 1

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Fig. 8

Natural frequencies and loss factors for mode 2

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Fig. 9

Natural frequencies and loss factors for mode 3

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Fig. 10

Natural frequencies and loss factors for mode 4

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Fig. 11

Complex effective stiffness of the laminated glass beam

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Fig. 12

Test setup with the location of the accelerometers

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Fig. 13

Singular value decomposition at 20 and 40 °C

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