Vol. 14, No. 2, 2019
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Large deflections and stability of spring-hinged cantilever beam

Milan Batista
Vol. 14 (2019), No. 2, 295–308
DOI: 10.2140/jomms.2019.14.295
Abstract

We investigate the influence of spring stiffness on large deflections and the stability of a spring-hinged cantilever subjected to a conservative tip force. Using the closed-form solution of the equilibrium equation and the Jacobi accessory equation, we determine the beam equilibrium forms and their stability. The solution for a spring-hinged cantilever beam subjected to a follower force is provided. The results are presented in graphical and tabular forms.

Keywords
elastic beams, elastic support, large deformations, stability, Jacobi test
Milestones
Received: 7 January 2019
Revised: 4 April 2019
Accepted: 8 April 2019
Published: 26 July 2019
Authors
Milan Batista
Faculty of Maritime Studies
University of Ljubljana
Slovenia