Physics Journal
Articles Information
Physics Journal, Vol.1, No.2, Sep. 2015, Pub. Date: Aug. 10, 2015
Stability Analysis of 3D Beams
Pages: 62-70 Views: 2228 Downloads: 1336
Authors
[01] Velpuri Gopi Krishna, School of Mechanical and Building Sciences, VIT University, Chennai Campus, Tamil Nadu, India.
[02] L. Bhaskara Rao, School of Mechanical and Building Sciences, VIT University, Chennai Campus, Tamil Nadu, India.
Abstract
Stability and dynamic response of a beam which is undergoing deflection is analysed by using various finite element methods. This formulation presents easy and efficient way to find stability of beam among various material properties and boundary conditions. Purpose of this paper mainly deals with various materials and boundary conditions, determining the perfect material and boundary condition to stabilise the beam for long time. This is one of the effective approaches to find the stability of beam. By using the Ritz method of approximation and cubic polynomial, the stiffness matrix is derived for following conditions. Stability of a structure can be usually defined by its ultimate strength to resist load and being stable before its mode of failure. There are two types of analysis namely linear and nonlinear which are used to find the deformation of a beam. In this paper, linear analysis is used to find the stability of the beam by using various analytical approaches like structural analysis, harmonic analysis etc. Among those mentioned approaches which define the stability of the beam more accurately is buckling analysis. This was proven by using various analytical approaches.
Keywords
Stability, Beam, End Condition, Finite Element Analysis
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