Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives
Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives
复制标题
DOI：
10.1061/(asce)0733-9399(1997)123:3(290
复制
发表时间：
1997-03
期刊：
影响因子：
--
通讯作者：
P. Spanos;B. Zeldin
中科院分区：
文献类型：
--
作者：
P. Spanos;B. Zeldin
本技术说明考虑一类描述具有频率相关参数或分数阶导数的动态系统的模型。这些概念通过引入动态系统或卷积积分的抽象状态空间表示来阐明;这些系统的运动由积分微分方程控制，并且可以迅速进行相关的Monte Carlo模拟。它示出了与数学严谨，这些系统的随机激励的响应可以由一个标准的公式确定。
This technical note considers a class of models that describe dynamic systems with frequency-dependent parameters or fractional derivatives. These concepts are elucidated by introducing abstract state-space representations of dynamic systems or convolution integrals; the motion of these systems is governed by integrodifferential equations, and related Monte Carlo simulations can be conducted expeditiously. It is shown with mathematical rigor that the response of these systems to random excitation can be determined by a standard formula.