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Journal of Applied Nonlinear Dynamics 1(3) (2012) 287--307 | DOI:10.5890/JAND.2012.07.004

L. Dai$^{1}$,$^{2}$; L. Sun$^{2}$

$^{1}$ Civil and Architecture Engineering, Xiamen University of Technology, China

$^{2}$ Industrial Systems Engineering, University of Regina, Canada

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Abstract

A modified fuzzy sliding mode control (MFSMC) strategy is devel-oped in this research for actively controlling and stabilizing the non-linear vibration of a laminated composite cantilever beam. The cantilever beam model, which is wildly seen in engineering applications, is established based on Hamilton’s principle through the application of Reddy’s third-order theory together with von Karman-type equations. Geometric nonlinearity of the beam is considered.The governing equations for the beam are derived corresponding to the higher order discretization of Galerkin method. By the model developed with n degrees of freedom, a vibration control strategy is developed on the basis of the modification of the fuzzy sliding mode control (FSMC). The vibration control strategy of the present research provides the availability for controlling the vibrations of such beam in n degrees of freedom. The approach is also proven to be effective in stabilizing the vibration of the nonlinear beam in a desired manner.

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