An exact solution for the bending of thin and thick cross-ply laminated beams

1997-02-01
Khdeir, AA
Reddy, JN
The state-space concept in conjunction with the Jordan canonical form is presented to solve the governing equations for the bending of cross-ply laminated composite beams. The classical, first-order, second-order and third-order theories have been used in the analysis. Exact solutions have been developed for symmetric and antisymmetric cross-ply beams with arbitrary boundary conditions subjected to arbitrary loadings. Several sets of numerical results are presented to show the deflected curve of the beam, the effect of shear deformation, the number of layers and the orthotropicity ratio on the static response of composite beams. (C) 1997 Elsevier Science Ltd.
COMPOSITE STRUCTURES

Suggestions

Trigonometric series solution for analysis of composite laminated plates
Koç, Samet; Dağ, Serkan; Department of Mechanical Engineering (2023-1-27)
In this study, static bending and free vibrations of symmetric rectangular laminated composite plates are examined by using a new trigonometric series expansion technique and finite element analysis. Kirchhoff (Classical Laminated Plate) plate theory is applied in the analytical formulation of both bending and free vibration problems. Mid-plane displacement is expanded into a series of trigonometric shape functions, which allow exact satisfaction of the boundary conditions. In the case of static bending, ap...
A Numerical Model for Investigating the Effect of Rough Surface Parameters on Radar Cross Section Statistics
Kuzuoğlu, Mustafa (2017-07-14)
Electromagnetic scattering from rough surfaces is modeled by combining the periodic finite element method and the transformation electromagnetics approach. The behavior of the radar cross section (RCS) at both specular and backscattering directions is analyzed as a function of rms height and correlation length with the help of Monte Carlo simulations. The concept of backscattering enhancement is illustrated, and some conclusions are drawn about the RCS statistics.
An efficient parallel triangular inversion by Gauss elimination with sweeping
Kiper, A (1998-01-01)
A parallel computation model to invert a lower triangular matrix using Gauss elimination with sweeping technique is presented. Performance characteristics that we obtain are O(n) time and O(n(2)) processors leading to an efficiency of O(1/n). A comparative performance study with the available fastest parallel matrix inversion algorithms is given. We believe that the method presented here is superior over the existing methods in efficiency measure and in processor complexity.
A direct BEM solution to MHD flow in electrodynamically coupled rectangular channels
Bozkaya, Canan; Tezer, Münevver (2012-08-15)
Magnetohydrodynamic flows in coupled rectangular channels are numerically investigated under an external, horizontally applied magnetic field. The flows are driven by constant pressure gradients in the channels, which are separated with a thin partly insulating and partly conducting barrier. A direct boundary element formulation is utilized to solve these two-dimensional steady, convection-diffusion type coupled partial differential equations in terms of velocity and induced magnetic fields. The resulting s...
A Novel Numerical Technique for Analyzing Metasurfaces
ÖZGÜN, ÖZLEM; Mittra, Raj; Kuzuoğlu, Mustafa (2019-12-31)
This work presents a novel technique for efficient numerical modeling of electromagnetic scattering from metasurfaces comprising of truncated periodic or locally-varying quasi-periodic surfaces. The proposed technique hybridizes the periodic Finite Element Method (FEM) with the Method of Moments (MoM) to develop an algorithm far more efficient than conventional numerical methods for electromagnetic scattering from arbitrary objects. The key feature of the proposed algorithm is that it takes advantage of the...
Citation Formats
A. Khdeir and J. Reddy, “An exact solution for the bending of thin and thick cross-ply laminated beams,” COMPOSITE STRUCTURES, pp. 195–203, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64944.