Analytical study of sandwich structures using Euler–Bernoulli beam equation

Abstract

This paper presents an analytical study of sandwich structures. In this study, the Euler-Bernoulli beam equation is solved analytically for a four-point bending problem. Appropriate initial and boundary conditions are specified to enclose the problem. In addition, the balance coefficient is calculated and the Rule of Mixtures is applied. The focus of this study is to determine the effective material properties and geometric features such as the moment of inertia of a sandwich beam. The effective parameters help in the development of a generic analytical correlation for complex sandwich structures from the perspective of four-point bending calculations. The main outcomes of these analytical calculations are the lateral displacements and longitudinal stresses for each particular material in the sandwich structure.

Ice shedding from wind turbines

“…For the theoretical analysis the Euler-Bernoulli beam theory [44,45] is solved in MATLAB®. For experimental work, ice is frozen over the PVC surface and loaded in a four-point bending test bench with a mounted strain gauge [46].…”

The cantilever beams analysis by the means of the first-order shear deformation and the Euler-Bernoulli theory

“…Ghosh used this theory as a base for developing and implementing a solution for shape memory polymers [2]. Xue and Khawaja successfully applied the Euler-Bernoulli theory in the analytical study of sandwich structures [3]. The Euler-Bernoulli theory in fractional form is successfully used in the experimental analysis for micro-beams [4].…”

Multiphysics based Modal and Harmonic Analysis of Axial Turbines

“…Efforts has also been made to analyze the structure analytically highlighting key assumptions and limitations [33][34][35]. It is also well-known that extreme conditions contribute towards structural failures [36][37][38][39].…”