17. Linear free vibration analysis of tapered Timoshenko beams using coupled displacement field method

Rajesh Korabathina1, Meera Saheb Koppanati2

Jawaharlal Nehru Technological University, Kakinada, 533003, India

1Corresponding author

E-mail: 1k.rajeshmtechmba@gmail.com, 2meera.aec@gmail.com

(Received 9 November 2015; accepted 19 January 2016)

Abstract. Every structure which is having some mass and elasticity is said to vibrate. Natural frequency is the one of the most important parameter associated with engineering vibration. In nature every structure has its own natural frequency. Whenever the natural frequency of the structure coincides with the frequency of external applied load, excessive deflections will occur and the structure will be failed. To avoid such condition one must be aware of the operating frequencies of the materials or structures under various conditions like simply supported, clamped and cantilever boundary conditions. There are many methods to evaluate the natural frequency of the structures. in this method the authors developed a method called “coupled displacement field method” which reduces computational efforts compared with the other methods and which is successfully applied for the Hinged-Hinged boundary condition of a tapered (rectangular cross section) Timoshenko beam and calculated the fundamental frequency parameter values and compared the results with existing literature. The results obtained in this method are very close to the existing literature.

Keywords: linear free vibrations, coupled displacement filed method, tapered Timoshenko beams, taper ratio, slenderness ratio.

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Cite this article

Korabathina Rajesh, Koppanati Meera Saheb Linear free vibration analysis of tapered Timoshenko beams using coupled displacement field method. Mathematical Models in Engineering, Vol. 2, Issue 1, 2016, p. 27‑33.

 

Mathematical Models in Engineering. June 2016, Volume 2, Issue 1

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