有色噪声激励下含分数阶导数型阻尼的多自由度非线性振子的可靠性研究

In this paper, the reliability of multi-degree-of-freedom (MDOF) nonlinear oscillators with fractional derivative damping under real noise excitation is considered. First, the original system is reduced to a set of averaged It? equations by using the stochastic averaging method. Then, the conditional reliability function and the conditional mean of the first passage time are obtained by formulating and solving the backward Kolmogorov equation. Finally, an example is worked out for illustration. .