ABSTRACT
Natural frequency is essentially one of the crucial factors considered in analyzing the dynamic behavior of a structural system. In the deterministic analysis, Finite Element Method (FEM) has been extensively adopted to solve the generalized eigenvalue problem using the stiffness and mass matrices of the structure. In engineering practice, the values of structural system parameters are fluctuating due to the inherent existence of uncertainties, which may significantly affect the vibration characteristics of the structure. Therefore, it is necessary to develop the nondeterministic natural frequency analysis to incorporate these uncertain variables (Moen et al. 2005).
