Free Vibration Analysis of Sandwich Plates with a Uniformly Distributed Attached Mass, Flexible Core, and Different Boundary Conditions

Abstract

The free vibration analysis of rectangular sandwich plates with a flexible core both with and without a uniformly distributed attached mass on the top facesheet is carried out using the finite element method (FEM) through ANSYS parametric design language, which is validated by several literatures through some numerical examples. The model uses the 8-node shell 99 element to model the composite laminates of the top and bottom facesheets of the sandwich plate and 20-node high-order solid 95 element in order to model the flexible PVC core. The validated finite element model is then used to study the parametric effects of geometry such as aspect ratio, length-to-thickness ratio, core thickness-to-plate thickness ratio, the size and the stiffness of the attached mass on the natural frequencies of the sandwich plate as well as the normal and shear stresses. The use of FEM also allows studying the effect of different boundary conditions for both the top and the bottom facesheets of sandwich plates with or without distributed attached mass. Numerical results that hitherto not reported in the literature have been presented in this article. The results presented in this investigation could be useful to acquire a better insight into the behavior of sandwich laminates carrying attached mass for engineering designers of sandwich structures. The results are presented and compared with the latest Numerical results found in literature.

Effect of Insertion Viscoelastic Damping Layer with Different Thicknesses on the Dynamic Response of Multi-layered Beam in Forced Vibration

“…The ANSYS 12.0 finite element software package is used to model the multi-layered beam structure with integral damping layer [18][19][20]. In this case, the facesheets (elastic layers) are modeled using shell element SHELL281, which has 8 nodes with six degrees of freedom at each node.…”

“…The shell elements by default place the nodes at the midplane of the top and the bottom facesheets. if the nodes of the shell elements were shared with the solid brick element, half of the facesheets element in the thickness direction would penetrate into the solid brick element [18]. Fig.…”

Factors influencing the effect of attached mass on dynamic behavior of laminate composite plates using Taguchi technique

“…The results confirm that the current study is in excellent agreement with those of 3-D FEM for thick laminated structures. Malekzadeh and Sayyidmousavi [15] used the finite-element method (FEM) under ANSYS, for analysis of the free vibration of rectangular sandwich plates with a flexible core, with and without distributed attached mass on the top face sheet. The results show that the attached mass reduces the frequencies of the sandwich plate.…”

Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet‐to‐Core Debonding

“…In the case of linear analysisM is the identity matrix,K = diag( 2 ) and in case of no damping couplingC = diag(2 ), where are modal damping rations. Hence, the equations in system (8) with respect to the generalized displacements are decoupled and for the rth mode have the form…”

“…In 2 Shock and Vibration this regard, models adopting mixed theories or the layer-wise (LW) approach are preferable for sandwich structures [6]. The latter has given rise to a variety of high-order sandwich panels theories referred to as HSAPTs [7][8][9], in which the high-order effects in the sandwich panel do not result from some prior assumptions for the displacement field. These theories invite any plate/shell theory formulations for the face sheets and a 3D elasticity theory or equivalent one for the core [10][11][12].…”