Free vibration of sandwich plates with laminated faces

Abstract

SUMMARYDescription is given of the development of a spline ÿnite strip method for predicting the natural frequencies and modes of conventional rectangular sandwich plates. The faceplates are treated as being classically thin and may be of composite laminated construction. The core is modelled as a threedimensional body. Finite strip sti ness and mass properties are based on a displacement ÿeld which represents eight fundamental through-thickness displacements as a series of products of longitudinal B-spline functions and crosswise Lagrangian or Hermitian polynominal shape functions. The solution procedure utilizes the e cient superstrip concept in conjunction with the extended Sturm sequencebisection approach. A variety of applications of the developed analysis capability is described which demonstrates the nature of the convergence of the ÿnite strip predictions of natural frequencies and the close comparison of these predictions with available results in the literature, and also the use of the capability in parametric studies.

Structural dynamic behavior of skew sandwich plates with laminated composite faces

“…The skew sandwich plate of a = 1270 mm and b = 635 mm are used for the core thickness of 25.4 mm and each faceplate of 3.175 mm thick. It may be noted that the core is defined as orthotropic and is assumed to carry through-thickness shearing action only, with shear moduli and density values as considered by Yuan and Dawe [27]. It is observed from the table that the natural frequencies obtained by the FSDT are much higher than those of the HSDT.…”

Vibration of Sandwich Plates with Random Material Properties using Improved Higher-Order Zig-Zag Theory

“…On the other hand, the number of investigations considering transverse normal deformation of the core is quite low. Some of the important contributions are made by Lee and Fan [14], Yuan and Dawe [15], Kant and Swaminathan [16], Rao et al [17], and Frostig and Thomsen [18].…”

Axially Symmetric Vibrations of Circular Sandwich Plates of Linearly Varying Thickness

“…[2,3] are the excellent survey of the work up to 2008 on numerical assessment of classical and refined theories for the analysis of sandwich plates. In these studies, various numerical methods such as Bessel functions [4], Galrkin's method [5], spline finite point method [6], B-spline FSM [7], Discrete layer annular finite element method [8], isoparametric finite element method [9], Finite element method [10], 3D FEM [11], Cubic spline method [12] have been used to obtain the natural frequencies of various models under different constraints.…”