Free Vibration Analysis Of A Rotating Beam With Non-Linear Spring And Mass System

  • S. K. Das
  • P. C. RayEmail author
  • G. Pohit
Part of the Springer Proceedings in Physics book series (SPPHY, volume 126)

Free, out of plane vibration of a rotating beam with non-linear spring mass system has been investigated. The non-linear constraint is connected to the beam between two points on the beam through a rigid rod. Formulation of the equation of motion is obtained starting from transverse/axial coupling through axial strain. 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 influence of rigid rod location on frequencies is also investigated on non-linear frequencies of rotating beam.


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


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© Springer Science + Business Media B.V 2008

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringGovernment College of Engineering and Leather TechnologySalt Lake CityIndia
  2. 2.Department of Mechanical EngineeringJadavpur UniversityKolkataIndia

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