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.
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Bera*, R.K., Ray, P.C., Chakrabarti, A., Mukhopadhyay, B. (2008). Large Amplitude Free Vibration Of A Rotating Non-Homogeneous Beam With Non-Linear Spring And Mass System. In: İnan, E., Sengupta, D., Banerjee, M., Mukhopadhyay, B., Demiray, H. (eds) Vibration Problems ICOVP-2007. Springer Proceedings in Physics, vol 126. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9100-1_5
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