5 May 1995 Single-element modeling of multilayer constrained-layer damping treatments
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The use of multi-layer constrained layer damping treatments on plate-like structures provides broadband vibration damping over a wide temperature range. A difficulty with the design of such treatments is their modeling. The current state of the art requires a separate plate element for each constraining layer plus a solid element for each viscoelastic layer in the thickness direction. The number of degrees of freedom is large conflicting with the iterative approach necessitated by the frequency and temperature dependance of the material properties which dictates that a small model size must be maintained. The large model size also slows optimization. The goal of this research was to produce a true plate finite element model which uses only a few degrees of freedom per node. This model is obtained by using a variational asymptotical theory to correctly capture the layerwise jumps in the stress and strain fields. A model is developed for simply supported plates which can later be extended to a more general finite element. Results are compared with the exact elasticity solution of Pagano. They show an excellent match exists in the predicted stress and strain field. The model is also compared with RKU analysis for plates again demonstrating its accuracy. A future finite element model based on this theory would require only six extra degrees of freedom per node with only one element in the thickness direction, thus simplifying the modeling of constrained layer damping treatments.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gregory S. Agnes "Single-element modeling of multilayer constrained-layer damping treatments", Proc. SPIE 2445, Smart Structures and Materials 1995: Passive Damping, (5 May 1995); doi: 10.1117/12.208900; https://doi.org/10.1117/12.208900

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