Simulation of Nonstationary Random Process
Simulation of Nonstationary Random Process
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发表时间：
1967
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通讯作者：
M. Shinozuka;Y. Sato
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文献类型：
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作者：
M. Shinozuka;Y. Sato
提出了一种模拟一类非平稳高斯随机过程的方法，即在模拟的某个阶段引入所需的非平稳性，使高斯白色噪声通过系统。该方法在随机力学中有广泛的应用，如在飞机结构的分析中受到严重的，随机的气动载荷和地震工程。详细研究了所提出的非平稳高斯过程和滤波泊松过程之间的关系。实例表明，如果通过选择脉冲响应函数，可以避免系统输出和结构输出中的卷积积分，则可以在计算机上快速地进行一组非平稳过程和结构响应的数值模拟。
A method is presented of simulating a class of nonstationary Gaussian random processes by passing a Gaussian white noise through a system introducing desirable nonstationarity at some phase of simulation. The method might have wide applications in stochastic mechanics such as in analysis of aircraft structures subjected to severe, random aerodynamic loading and in earthquake engineering. The relationship between the proposed nonstationary Gaussian process and the filtered Poisson process is examined in detail. Examples show that, if the convolution integrals, involved in the output of the system and also of the structure, can be avoided by particular choice of the impulse response functions, then a set of numerical simulations of the nonstationary process and the structural response can be performed rapidly on a computer.