Barrier Crossing Due to Transient Excitation
Barrier Crossing Due to Transient Excitation
复制标题
DOI：
10.1061/(asce)0733-9399(1984)110:1(20
复制
发表时间：
1984
期刊：
影响因子：
--
通讯作者：
P. Spanos;G. Solomos
中科院分区：
文献类型：
--
作者：
P. Spanos;G. Solomos
研究线性轻阻尼单自由度振子在演化随机激励下响应振幅的首次穿越时间问题。振幅的马尔可夫近似允许使用福克-普朗克方程来表述问题。对于阶跃函数调制的稳态激励的特殊情况，该方程可以精确求解。这些结果被用于确定一般激励情况下通过Galerkin技术的解决方案。相关的数字仿真数据证明了该方法的可靠性和极高的效率。
The first‐passage time problem for the response amplitude of a linear lightly damped single‐degree‐of‐freedom oscillator under evolutionary random excitation is considered. A Markovian approximation of the amplitude allows the use of a Fokker‐Planck equation for the formulation of the problem. This equation is solved exactly for the special case of a step function‐modulated stationary excitation. These results are used in determining a solution for the general excitation case via a Galerkin technique. Pertinent digital simulation data demonstrate the reliability and extreme efficiency of the developed solution method.