A finite element method for active vibration control of uncertain structures

This work introduces a fuzzy design method using the finite element procedure to simulate and analyze active vibration control of structures subjected to uncertain parameters. The purpose of this work is to provide a tool for studying the influence of uncertainty propagation on both stability and performance of a vibration control system, whilst avoiding the need for computationally expensive probabilistic methods or complex robust control techniques. The proposed procedure applies a general and efficient strategy for computing fuzzy results to a sequence of finite element calculations. Finally, the applicability of the methodology is illustrated through some realistic case studies related to structural control where spillover instability may arise.

► We introduce a Fuzzy Finite Element method to simulate uncertain control systems. ► It avoids expensive probabilistic methods and or complex robust control techniques. ► The applicability of the methodology is illustrated in two realistic case studies. ► Structural control where spillover instability may arise is specially considered. ► Comparisons with the Monte Carlo Simulation method are included.