Nonlinear Analysis of Mechanical Systems Under Combined Harmonic and StochasticExcitation

摘要

In the AFOSR grant, the complex interaction between noise, stability andnonlinear dynamics inherent in mechanical systems was examined and a consistent method for analyzing stochastic nonlinear systems was developed. The specific objective of the current work, is to examine, both theoretically and experimentally, the nonlinear response of gyroscopic systems under stochastic and harmonic excitation. This study will include the following: examination of the combined effects of mass imbalance, asymmetry and realistic boundary conditions on the nonlinear response of rotating systems; development of a general nonlinear control technique designed to suppress unwanted vibrations and chaotic motions in gyroscopic systems; experimental verification of the theories developed.... Nonlinear gyroscopic systems, Nonlinear stochastic systems, Nonlinear control, Chaotic motions, Experimental verification.