An Interval Parameter Perturbation Method for Predicting the Natural Frequency Bounds of Intelligent Truss Structures with Uncertain-But-Bounded Parameters
The upper and lower bound estimation of natural frequencies for intelligent truss structure with uncertain-but-bounded parameters is studied in this paper. Firstly, following the finite element method, the expressions of the interval stiffness and interval mass matrix of piezoelectric intelligent truss structures are derived directly from the interval parameters. Then, based on the matrix perturbation and interval extension theory, an interval parameter perturbation method is proposed for solving the upper and lower bound of natural frequencies. Finally, a 16-bar planar intelligent truss structure is used as an example to illustrate the applicability and validity of the presented method, and some useful conclusions are obtained.
L. Garibaldi, C. Surace, K. Holford and W.M. Ostachowicz
W. Y. Chen et al., "An Interval Parameter Perturbation Method for Predicting the Natural Frequency Bounds of Intelligent Truss Structures with Uncertain-But-Bounded Parameters ", Key Engineering Materials, Vol. 347, pp. 569-574, 2007