Formulation of a three-dimensional shear-flexible bimaterial beam element with constant curvature-Reference-Cited by-同舟云学术

Formulation of a three-dimensional shear-flexible bimaterial beam element with constant curvature

Published:2014-12-10 Issue:15 Volume:229 Page:2687-2705
ISSN:0954-4062
Container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Author:

Dragoni Eugenio¹,Bagaria William J²

Affiliation:

1. Department of Engineering Sciences and Methods, University of Modena and Reggio Emilia, Reggio Emilia, Italy

2. Professor Emeritus, Aerospace Engineering Department, United States Naval Academy, Annapolis, USA

Abstract

This paper presents the closed-form formulation for a three-dimensional curved beam element with round bimaterial section. The formulation includes the effects of shear forces on displacements and stresses and of the beam curvature on the distribution of bending and torsional stress over the cross section. The element is coherent with the well-known theory for straight beams, which is obtained exactly as the curvature radius becomes infinite. The numerical predictions for a test case compare favourably with published analytical and experimental results and with the outcome of a purposely developed, large-scale FE brick model.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/0954406214563740

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3. Effects of the CTE and Young’s modulus lateral gradients on the bowing of an optical fiber: analytical and finite element modeling