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Large deflections of non-prismatic nonlinearly elastic cantilever beams subjected to non-uniform continuous load and a concentrated load at the free end
Authors:Miha Brojan  Matjaz Cebron  Franc Kosel
Affiliation:Miha Brojan.Matjaz Cebron.Franc Kosel Laboratory for Nonlinear Mechanics,Faculty of Mechanical Engineering,University of Ljubljana,Askerceva 6,SI-1000 Ljubljana,Slovenia
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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