
The Steady State Vibration and Interlaminar Stresses of Viscoelastic Laminated Plates
Yang Shaohong,Wang Anwen
(Navy University of Engineering, Wuhan 430033, China)
Abstract: Applying the mixed layerwise theories and Ressiner's mixed variational
theorem, adopting quadratic functions for displacement and three-order or four-order functions for transverse stresses in the
plate-thickness direction, the dynamics equations of viscoelastic laminated plates are deduced and the numerical solutions for
simple-support laminated plates are derived through Navier solutions. The predicted vibration frequency and loss factor show the good agreement with the
three-dimensional observations for the laminated plates. Computing
the radial displacement max-value and interlaminar transverse stress max-value in the plates corresponding to the
lower-rank models and analyzing the viscoelastic layer' influence on the interlaminar transverse stresses, the results show that very high interlaminar transverse normal stresses are the main factor which leads to the break of laminates for the Laminated plates in the low frequency
steady state response, moreover, using a viscoelastic layer of proper module and thickness will effectively decrease the
max-value of interlaminar transverse
normal stresses.
Keywords: Laminated plates, Mixed layerwise theories, Steady state vibration, In
terlaminar stresses, Viscoelastic layer.