On the first-passage time for envelope crossing for a linear oscillator†
On the first-passage time for envelope crossing for a linear oscillator†
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DOI：
10.1080/00207177308932489
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发表时间：
1973-07
影响因子：
2.1
通讯作者：
S. Ariaratnam;H. Pi
中科院分区：
文献类型：
--
作者：
S. Ariaratnam;H. Pi
研究了平稳宽带随机激励下线性振荡器包络交叉的首次通过时间问题。响应的振幅由一维马尔可夫过程近似，并推导了控制第一次通过时间矩的微分方程。得到了均值和方差的解析解
Abstract The first-passage time problem for envelope crossing for a linear oscillator subject to stationary wide-band random excitation is investigated. The amplitude of the response is approximated by a one-dimensional Markov process, and differential equations governing the moments of the first-passage time are derived. Analytical solutions are obtained for the mean and the variance