Acta Mechanica Sinica

, Volume 28, Issue 3, pp 863–869 | Cite as

Large deflections of non-prismatic nonlinearly elastic cantilever beams subjected to non-uniform continuous load and a concentrated load at the free end

Research Paper

Abstract

This work studies large deflections of slender, non-prismatic cantilever beams subjected to a combined loading which consists of a non-uniformly distributed continuous load and a concentrated load at the free end of the beam. The material of the cantilever is assumed to be nonlinearly elastic. Different nonlinear relations between stress and strain in tensile and compressive domain are considered. The accuracy of numerical solutions is evaluated by comparing them with results from previous studies and with a laboratory experiment.

Keywords

Large deflections Non-prismatic beams Combined loading Generalized Ludwick constitutive law Material and geometrical nonlinearity 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Laboratory for Nonlinear Mechanics, Faculty of Mechanical EngineeringUniversity of LjubljanaLjubljanaSlovenia

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