Abstract
Hybrid laminates, such as fiber metal laminates, are increasingly used in engineering applications due to their outstanding damage tolerance and weight-specific performance. Prone to vibrations, fiber metal laminates have recently been complemented by viscoelastic elastomer layers in order to achieve a desired level of damping following the principles of constrained layer damping. This paper presents an analytical modeling approach based on a unified plate formulation for the rapid and precise analysis of such hybrid laminates regarding their deformation and dynamic behavior. In order to account for the transverse shear deformation in the damping layers, the Reissner’s Mixed Variational Theorem is employed. The viscoelastic, thus frequency-dependent, material behavior is taken into account and the resulting damping quantities analyzed. Damped and undamped natural frequencies are computed using an iterative algorithm and the results are compared to the plate’s response to forced vibration. The approach is numerically validated using refined finite element models. Additionally, laminate parameters are varied in order to investigate their influence on the damping capabilities of these hybrid laminates.
Highlights
Because of their outstanding mechanical properties in relation to their low mass density, fiber-reinforced polymers (FRPs), such as CFRPs and glass fiber-reinforced polymers (GFRPs) are widely used in numerous fields such as aerospace and automotive
This paper presents an analytical modeling approach based on a unified plate formulation for the rapid and precise analysis of such hybrid laminates regarding their deformation and dynamic behavior
Damping can for example be achieved by covering parts of the structure with an adherent viscoelastic layer, which undergoes large shear deformation when the structure is subjected to bending vibrations
Summary
Because of their outstanding mechanical properties in relation to their low mass density, fiber-reinforced polymers (FRPs), such as CFRPs and glass fiber-reinforced polymers (GFRPs) are widely used in numerous fields such as aerospace and automotive. Damping can for example be achieved by covering parts of the structure with an adherent viscoelastic layer, which undergoes large shear deformation when the structure is subjected to bending vibrations. This mechanism was first investigated by Oberst and Frankenfeld [2] and is commonly referred to as free layer damping (FLD). An extension of the CUF is proposed by Demasi [20,21,22,23,24] referred to as the Generalized Unified Formulation (GUF) Both variable kinematics approaches, CUF and GUF, allow for LW and ESL descriptions as well as theories of arbitrary order. The influence of variations in layer thickness and elastic properties of the damping material is examined making a contribution to the deeper understanding of this intrinsic damping mechanism
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