A closed-form solution for Reissner planar finite-strain beam using Jacobi elliptic functions. (1st June 2016)

• Record Type: Journal Article
• Authors: Batista, Milan
• Is Part Of: International journal of solids and structures. Volume 87(2016)
• Page Start: 153
• Page End: 166
• Publication Date: 2016-06-01
• Subjects: Nonlinear elasticity -- Shear-deformable beam -- Finite-strain beam -- Reissner's beam -- Buckling factor -- Analytical solution -- Jacobi elliptic functions; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.02.020
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: In the paper, we introduce an analytical solution for a large-deflection, finite-strain, and planar Reissner beam that is subject to an end force and a bending moment. The solution is provided in terms of Jacobi elliptic functions. The obtained analytical solution is enhanced with numerical examples. The buckling and post-buckling behavior of a beam under an axial compressive load applied at its end and subject to various boundary conditions is also discussed in detail. In particular, the buckling factor is derived for all boundary conditions.