Edge stiffness effects on thin-film laminated double glazing system dynamical behavior by the operational modal analysis

Abstract

We apply operational modal analysis (OMA) to determine the eigenfrequencies and the eigenmode shapes of a thin-film laminated double glazing system. For this purpose, the dynamic behaviors of both a laminate alone and a coupled system (double-wall structure) for specific boundary conditions are investigated. Here, the laminated plate which is composed of two elastic skins joined with an adhesive ultra-thin film is bonded by an elastic joint. Thus, two configurations of the thin-film laminated glass plate elastic boundary conditions are considered. The first one assumes that the structure is bonded by a translational stiffness (linear springs). In the second one, besides the translational stiffness, a rotational stiffness (angular springs) is introduced in order to improve the developed model. The modal recombination results of a thin-film laminated glass plate as well as those of the thin-film laminated double glazing system are presented and compared to the estimated modes achieved by OMA. Since a good agreement is obtained, the OMA technique can be used to determine the modal parameters by considering the experimental vibratory responses of the studied system. In addition, the vibration's amplitude of two laminated glass plates linked from edge to edge with both linear and angular springs can be much reduced compared to the one of the same structure bonded only by linear springs.

Vibro-acoustic analysis of laminated double glazing using the force identification method

“…• two identical skins (glass) for each laminate: Only the translational joint is considered (Akrout et al, 2012a): k jo int = 0.264•10 10 N/mm 2 .…”

“…Discretization by the finite element method and minimization of the coupled system energy functional give the following coupled matrix system (Akrout et al, 2010(Akrout et al, , 2012a…”

“…The resolution of the direct problem defined by equation (31) is based on a modal approach (Akrout et al, 2010(Akrout et al, , 2012a. Then, the following eigenvalue problems to be solved are considered…”

“…In this work, dynamical study is carried out in order to model the vibratory excitation of a vibro-acoustic problem defined by a thin fluid cavity coupled to the thin-film laminated glass plate structural model developed in our previous work (Akrout et al, 2012a). Then, the ICA concept is applied to the finite element signals defined by the displacement vector of the studied system in order to extract the wave form and the excitation frequencies of the external applied forces.…”

Inverse method for a one-stage spur gear diagnosis

“…The non-Gaussianity can be evaluated by the kurtosis or the fourth order cumulate. The Kurtosis of a variable y is expressed as follows (Comon, 1990) Kurt(y) = E{y 4 } − 3(E{y 2 }) 2 (2.9)…”