A number of reﬁned beam theories are discussed in this paper. These theories were obtained by expanding the unknown displacement variables over the beam section axes by adopting Taylor’s polynomials, trigonometric series, exponential, hyperbolic and zig-zag functions. The Finite Element method is used to derive governing equations in weak form. By using the Uniﬁed Formulation introduced by the ﬁrst author, these equations are written in terms of a small number of fundamental nuclei, whose forms do not depend on the expansions used. The results from the different models considered are compared in terms of displacements, stress and degrees of freedom (DOFs). Mechanical tests for thick laminated beams are presented in order to evaluate the capability of the ﬁnite elements. They show that the use of various different functions can improve the performance of the higher-order theories by yielding satisfactory results with a low computational cost.
Laminated Beam Analysis by Polynomial, rigonometric, Exponential and Zig-Zag Theories / Erasmo Carrera; Matteo Filippi; Enrico Zappino. - In: EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS. - ISSN 0997-7538. - 41(2013), pp. 58-69. [10.1016/j.euromechsol.2013.02.006]
|Titolo:||Laminated Beam Analysis by Polynomial, rigonometric, Exponential and Zig-Zag Theories|
|Data di pubblicazione:||2013|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.euromechsol.2013.02.006|
|Appare nelle tipologie:||1.1 Articolo in rivista|