Abstract
In the development of aircraft comfort, one of the main issues is the sound transmission analysis to estimate the insulation capability of aeronautical panels. In this work, a higher-order shell finite element is proposed for the passive noise insulation analysis of composite laminated structures embedding viscoelastic layers. Starting from the Principle of Virtual Displacements, the present Finite Elements are obtained by making use of higher-order Layer-Wise theories, employing the Mixed Interpolated Tensorial Components (MITC) method to avoid the shear locking effect and taking into account the frequency dependence of the viscoelastic material through the use of a fractional derivative model. The Rayleigh integral method is considered for the evaluation of the acoustic insulation of the panels. Numerical studies are carried out to demonstrate that the present shell finite element is an efficient and accurate tool for the sound transmission analysis. Different lamination sequences, different boundary conditions and various radius to thickness ratios are taken into account.
Highlights
In the study of the aircraft comfort, the sound radiated by vibrating structures and the capability of insulation of aeronautical panels is of great practical importance
For the reason stated above, an advanced finite element formulation for the sound transmission analysis of viscoelastic composite shell structures has been addressed in the present work, presenting a more comprehensive investigation campaign that can be used as benchmark and takes into account the damping fractional derivatives behavior, the boundary condition effects and the influence of the curvature
A shell finite element with advanced layer-wise higher-order kinematic field is proposed by taking into account the effects of frequency-dependent viscoelastic materials through the use of fractional derivative models
Summary
In the study of the aircraft comfort, the sound radiated by vibrating structures and the capability of insulation of aeronautical panels is of great practical importance. Several authors developed methods to accurately describe the frequency dependence effects of viscoelastic damping mechanisms through analytical approaches [32], and finite element models [33,34]. The innovation and novelty of the present paper is focused to the developement of an advanced finite element formulation for the sound transmission analysis of composite shell structures embedding viscoelastic layers modeled by means of fractional derivative approach. For the reason stated above, an advanced finite element formulation for the sound transmission analysis of viscoelastic composite shell structures has been addressed in the present work, presenting a more comprehensive investigation campaign that can be used as benchmark and takes into account the damping fractional derivatives behavior, the boundary condition effects and the influence of the curvature. Several numerical investigations are presented to demonstrate the accuracy of the present finite shell element for the sound transmission analysis, taking into account different lamination sequences, different boundary conditions and various radius to thickness ratios
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