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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Analytical study of sandwich structures using Euler–Bernoulli beam equation


    Contributors:

    Conference:

    ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France


    Published in:

    Publication date :

    2017-01-27


    Size :

    10 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    FLOW-INDUCED VIBRATION OF AN EULER-BERNOULLI BEAM

    Wang, X.Q. | Online Contents | 2001


    Free vibrations of a complex Euler-Bernoulli beam

    Popplewell, N. | Online Contents | 1996



    Distributed control and simulation of a Bernoulli-Euler beam

    LUPI, VICTOR D. / CHUN, HON M. / TURNER, JAMES D. | AIAA | 1992


    Rail Joint Model Based on the Euler-Bernoulli Beam Theory

    Mazilu Traian / Răcănel Ionuţ Radu / Ghindea Cristian Lucian et al. | DOAJ | 2019

    Free access