Nonlinear Impact Response Analysis of Partially Damped Plate with Acoustic Black Hole with Residual Thickness

Abstract

This paper describes vibration analysis using finite element method with Model Strain Energy Method for steel panel connected by nonlinear concentrated springs under impact load. The panel is composed of steel layer having an Acoustic Black Hole with residual thickness. A viscoelastic damping layer is covered on different places of the black hole. Finite element for the nonlinear springs with hysteresis are expressed and are connected to the panel modeled by linear solid finite elements in consideration of complex modulus of elasticity. We calculated modal loss factors and transient responses including internal resonances in the eigen modes including coupled motions between the non-linear springs and the panel. From the dominant eigen modes and the time histories, we clarified effects of the Acoustic Black Hole having residual thickness and non-linear springs on the nonlinear damped responses.