Asymptotic approximation of an elastic beam with a rotating cross section

Article type: Research Article

Authors: Veiga, M.F.

Affiliations: CMAF – University of Lisbon, Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex, Portugal

Note: [] Correspondence to: M.P. Veiga, CMAF – University of Lisbon, Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex, Portugal.

Abstract: In the framework of linearized elasticity, the asymptotic expansion method is used to obtain an approximation of the displacement field of a beam with a variable cross section (in the sense that the section rotates along the longitudinal axis of the beam, keeping its form). We give a complete characterization of the equations governing the bending, stretching and torsion components, generalizing, in this way, previous results for straight beams.

DOI: 10.3233/ASY-1995-11105

Journal: Asymptotic Analysis, vol. 11, no. 1, pp. 73-105, 1995