Uncertain Vibration Analysis of Laminated Structure-A Fuzzy Finite Element Approach

Abstract

Free vibration behavior of flat panel laminated composite with and without random material properties are investigated in this work. The laminated structure has been modelled mathematically using the higher-order model taking the randomized material properties through the fuzzy based tool. The desired governing equation is obtained with the help of Hamilton’s principle and discretizing through the suitable finite element steps. Fuzzy-finite element method is used with randomized material property to obtain the free vibration responses. The model is evaluated by comparing the various responses with that of the published literature. Finally, the effect of different geometrical and material parameters on the vibration responses are evaluated by solving some numerical examples.