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Nonlinear stability analysis of 3D beams
Published in IAEME Publication
2017
Volume: 8
   
Issue: 8
Pages: 172 - 180
Abstract
Stability of the beam structure is investigated by using non-linear dynamics. This study is performed based on Timoshenko beam theory. Timoshenko beam theory is an extension of Euler-Bernoulli beam theory. Nonlinear vibration of beam with different end conditions (such as clamped, Pinned and free etc.,) and different materials are studied. Cross section of the beam is considered as rectangular. Timoshenko beam with rectangular cross-section includes warping function for an analytical expression. By using Green's non-linear strain tensor, geometric nonlinearity is considered in this study. Equation of motion is derived by using Principle of virtual work. Beams which experiences longitudinal, torsional and bending deformations in space are studied by using H-version finite element method. For the stability analysis displacement is considered as a key factor and stability is improved based on the displacement of the beams. In order to find out the stability of beams, various analyses like modal, static (linear and non-linear) and buckling analysis are performed. A detailed study is done by varying some of the geometric parameters of the beam to improve the stability of the structures. This detailed study can be used for moderate displacements, resonance and rotation of beam which change due to nonlinearity of structures. © IAEME Publication.
About the journal
JournalInternational Journal of Civil Engineering and Technology
PublisherIAEME Publication
ISSN09766308