Effect of Higher Transition Foundation on Dynamic Stability Boundaries of Simply Supported Beam

Accurate closed form solution to predict the dynamic stability behavior of simply supported (SS) beam on elastic foundation, subjected to an end axial periodic load, has been derived using simple single term trigonometric function which satisfies the geometric boundary conditions. The effect of high...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2020-12, Vol.998 (1), p.12043
Main Authors: Subbaratnam, B., Jalagam, Ravinder Rao, Jena, Shakti Prasanna, Gupta, M. Satyanarayana
Format: Article
Language:English
Subjects:
Beam theory (structures)
beams
Boundary conditions
Dynamic stability
elastic foundation
Elastic foundations
Energy methods
Parameters
periodic loads
Stability analysis
transition foundation
Trigonometric functions
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Summary:Accurate closed form solution to predict the dynamic stability behavior of simply supported (SS) beam on elastic foundation, subjected to an end axial periodic load, has been derived using simple single term trigonometric function which satisfies the geometric boundary conditions. The effect of higher transition foundation on dynamic stability regions is studied. The energy method is used in the present work to evaluate the dynamic stability boundaries. Euler - Bernoulli beam theory is used for the analysis. Numerical results are presented using proper non-dimensional parameters with varying foundation parameters below and above the second transition foundation value of elastic foundation, in both the digital and analogue forms for better comprehension of the dynamic stability behavior of the beams. The effect of the higher transition foundation value of the elastic foundation on the dynamic stability behavior is brought out in the present work.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/998/1/012043