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Large Amplitude Free Vibration Of A Rotating Non-Homogeneous Beam With Non-Linear Spring And Mass System

  • Rasajit Kumar Bera*Email author
  • P. C. Ray
  • A. Chakrabarti
  • B. Mukhopadhyay
Part of the Springer Proceedings in Physics book series (SPPHY, volume 126)

Free, out of plane vibration of a rotating non-homogeneous beam with non-linear spring mass system has been investigated. The non-linear constraint and non-homogeneity appear in the boundary condition. Solution is obtained by applying method of multiple time scale directly to the non-linear partial differential equations and the boundary conditions. The results of the linear frequencies match well with those obtained in open literature. Subsequent non-linear study indicates that there is a pronounced effect of spring and its mass. The stability of non-linear vibration of non-homogeneous beam has also been discussed at length. The influence of spring-mass location on frequencies is also investigated on non-linear frequencies of rotating non-homogeneous beam.

Keywords

non-homogeneous non-linear spring-mass system rotating beam multiple time scale 

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© Springer Science + Business Media B.V 2008

Authors and Affiliations

  • Rasajit Kumar Bera*
    • 1
    Email author
  • P. C. Ray
    • 2
  • A. Chakrabarti
  • B. Mukhopadhyay
    1. 1.Department of MathematicsHeritage Institute of TechnologyAnandapurIndia
    2. 2.Dept. of Math.Government College of Engineering & Leather TechnologySalt Lake CityIndia

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