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Free vibration analysis of composite beam with different boundary condition and considering the effect of Poisson s ratio

Credit to Download: 0 | Page Numbers 2 | Abstract Views: 125
Year: 2016
COI code: COMPOSIT05_087
Paper Language: English

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Authors Free vibration analysis of composite beam with different boundary condition and considering the effect of Poisson s ratio

  m javid - Instructor, Department of Mechanical Engineering, Germi Branch, Islamic Azad University, Germi, Iran
  h biglari - Assistant Professor, Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran

Abstract:

In this paper, a comprehensive and integrated approach to free vibration analysis of composite beam with general boundary conditions, according to the Euler-Bernoulli and deriving the natural frequencies is expressed. The boundary conditions at the end of the beam are modeled by linear and torsional springs, and these boundary conditionswill appear directly in the solution of lateral vibration equation of the beam. Initially, separate equations of motion for beam are obtained using Hamilton s principle. For solving, lateral deflection of the beam is considered as a linear superposition of Fourier cosine and Auxiliary polynomial. This auxiliary function compensates lack of convergence in boundary condition in the previous methods. By this method, natural frequencies and mode shapes are obtained for various modes of vibration. Comparing numerical results obtained by this method with the results of the previous classical methods shows that the pace of Fourier series and results accuracy has increased significantly.

Keywords:

Euler-Bernoulli theory, free vibration, general boundary conditions, mode shape, Fourier series

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COI code: COMPOSIT05_087

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javid, m & h biglari, 2016, Free vibration analysis of composite beam with different boundary condition and considering the effect of Poisson s ratio, 5th International Conference on Composites: Characterization, Fabrication, and Application (CCFA-4), تهران, دانشگاه علم و صنعت ايران, https://www.civilica.com/Paper-COMPOSIT05-COMPOSIT05_087.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (javid, m & h biglari, 2016)
Second and more: (javid & biglari, 2016)
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Type: Azad University
Paper No.: 697
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