Reliability-based analysis of frequency of closed-loop vibration control systems with uncertain parameters

The reliability-based analysis of frequency of the vibration control problem of structures with random parameters is discussed. Based on the theory of perturbation method, closed-loop vibration control systems, reliability analysis, and PNET method, the method of reliability-based analysis of eigenvalues of closed-loop vibration control systems with uncertain parameters is studied. And the distribution function of the random eigenvalues will not be computed other than their means and variances. The standard deviations of eigenvalues of the uncertain closed-loop systems can be used to estimate the reliability of frequency. The numerical results show that the present method is effective.