Numerical Modeling and Damping Analysis of Cylindrical Shells with Viscoelastic Layers


Аuthors

Shesterkin P. S.

Military industrial corporation «NPO Mashinostroyenia», 33, Gagarina str., Reutov, Moscow region, 143966, Russia

e-mail: 14887@personal.npomash.dom

Abstract

This study presents a comprehensive numerical simulation of the influence of viscoelastic damping materials on the static and dynamic characteristics of cylindrical shells made of aluminum-lithium alloy, a high-performance material widely used in aerospace structures. The primary objective is to evaluate the effectiveness of a thin-layer damping tape in reducing vibration levels, mitigating stress concentrations, and enhancing the structural stability of thin-walled shell elements under forced oscillations.
Solid finite element models of cylindrical shells with lengths of 60, 120, and 180 mm were developed to represent different slenderness ratios. The computational mesh consisted of tetrahedral elements with an average size of 5 mm, ensuring adequate resolution for both global and local deformation modes. Boundary conditions were defined such that one end surface of each specimen was fully constrained, while a harmonic oscillatory load was applied to the opposite end. The damping layer consisted of 3M 434 aluminum-backed viscoelastic tape with a nominal thickness of 0.05 mm, applied in accordance with ASTM D-3652 standard procedures. The physical and mechanical properties of the shell material and the damping layer, including Young’s modulus, Poisson’s ratio, density, and viscoelastic loss factor, were explicitly incorporated into the model.
The simulation results demonstrated that the inclusion of the damping tape led to a marked reduction in vibration amplitudes and a noticeable increase in the logarithmic decrement of damping. The most intensive shear deformations occurred in regions adjacent to the fixed end, gradually decaying toward the free end. The presence of the damping layer not only reduced peak stress values but also delayed the onset of resonance-induced instability. These findings confirm the high potential of thin viscoelastic surface treatments as a passive vibration control strategy for aerospace and mechanical engineering applications, offering improved dynamic performance without imposing significant weight or geometric penalties.

Keywords:

cylindrical shell; damping; damping tape; viscoelastic material; finite element analysis; vibration characteristics; shear deformation; Poisson’s ratio; logarithmic damping decrement

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