A SFEM-based algorithm for computing SEA parameters of laminated plates

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (23) : 157-164.

YUAN Jinlong1,CHEN Haibo1,WANG Kun2,CAO Xiaolong2

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Abstract

Aiming at the problem of difficult to acquire common laminated plates’ SEA parameters, an effective algorithm based on the spectral finite element method (SFEM) for SEA parameters computation was proposed.The 3-node quadratic spectral finite element was used to divide grids in thickness direction of a laminated plate, and the characteristic equation of wave number was established by using the plate’s stiffness and mass matrices.According to the modal similarity criterion, Pearson correlation coefficient was used to classify various modes’ wave numbers to gain the laminated plate’s SEA parameters, such as, modal densities and radiation efficiencies.Numerical simulation was performed for single-layer thin plates and sandwich ones.The computation results were compared with other theoretical values or test ones to verify the effectiveness of the proposed method.A five-layer C-C orthotropic laminated plate was taken as an example to investigate analysis deviations of the classical laminate plate theory and the first-order shear theory.Finally, the internal loss factor of automobile glass laminated plate was calculated to verify the effectiveness of calculating laminated plate’s internal loss factor based on SFEM.

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Key words

spectral finite element method (SFEM) / laminated plate / wave number / modal density / statistical energy analysis (SEA)

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YUAN Jinlong1,CHEN Haibo1,WANG Kun2,CAO Xiaolong2. A SFEM-based algorithm for computing SEA parameters of laminated plates[J]. Journal of Vibration and Shock, 2019, 38(23): 157-164

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