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This paper focuses on the modal analysis of laminated glass beams. In thesemultilayer elements, the stiff glass plates are connected by compliantinterlayers with frequency/temperature-dependent behavior. The aim of our studyis (i) to assess whether approximate techniques can accurately predict thebehavior of laminated glass structures and (ii) to propose an easy tool formodal analysis based on the enhanced effective thickness concept by Galuppi andRoyer-Carfagni.  To this purpose, we consider four approaches to the solution of the relatednonlinear eigenvalue problem: a complex-eigenvalue solver based on the Newtonmethod, the modal strain energy method, and two effective thickness concepts. Acomparative study of free vibrating laminated glass beams is performedconsidering different geometries of cross-sections, boundary conditions, andmaterial parameters for interlayers under two ambient temperatures. Theviscoelastic response of polymer foils is represented by the generalizedMaxwell model.  We show that the simplified approaches predict natural frequencies with anacceptable accuracy for most of the examples. However, there is a considerablescatter in predicted loss factors. The enhanced effective thickness approachadjusted for modal analysis leads to lower errors in both quantities comparedto the other two simplified procedures, reducing the extreme error in lossfactors to one half compared to the modal strain energy method or to onequarter compared to the original dynamic effective thickness method.

On modal analysis of laminated glass: Usability of simplified methods and enhanced effective thickness