Frequency Reliability-Based Robust Design of the Random Dynamic Structural Systems

The frequency reliability.method of avoiding resonance is proposed by the mechanical dynamics, stochastic finite element method, the reliability theory in the paper. Furthermore, the frequency reliability sensitivity method is presented based on the frequency reliability research, and the frequency reliability-based robust method is obtained by the robust and the optimization technology on the basis of frequency reliability and sensitivity design, which help designers to establish acceptable parameter values and to determine the fluctuations of the parameters for the safe operations. Moreover a numerical example is provided, the frequency reliability robust numerical results are obtained, which are in agreement with practice and demonstrate the effectiveness and accuracy of the proposed method.