Journal ArticleDOI
Digital simulation of random processes and its applications
Masanobu Shinozuka,C.-M. Jan +1 more
Reads0
Chats0
TLDR
In this article, the authors presented an efficient method for digital simulation of general homogeneous processes as a series of cosine functions with weighted amplitudes, almost evenly spaced frequencies, and random phase angles.About:
This article is published in Journal of Sound and Vibration.The article was published on 1972-11-08. It has received 1460 citations till now. The article focuses on the topics: Stochastic process & Random variable.read more
Citations
More filters
Journal ArticleDOI
Nonstationary Response Analysis of a Nonsymmetric Nonlinear Multi-Degree-of Freedom System to Nonwhite Random Excitation
Koji Kimura,Masaru Sakata +1 more
TL;DR: In this paper, an approximate analytical technique is developed for obtaining the nonstationary responses of a multi-degree-of-freedom mechanical system with nonsymmetric nonlinearities subjected to nonwhite random excitations with arbitrary covariance functions.
Journal ArticleDOI
Generating chaotic limit cycles for a complex duffing–van der pol system using a random phase
Yong Xu,Wei Xu,Gamal M. Mahmoud +2 more
TL;DR: In this paper, the authors considered the positive top Lyapunov exponent as a criterion of chaos for random dynamical systems and computed the stable behavior of deterministic system when noise intensity is zero by means of the top (local) LYP exponent.
Journal ArticleDOI
Limits on the isolation of stochastic vibration for microgravity space experiments
Carl R. Knospe,P. E. Allaire +1 more
TL;DR: In this article, the authors consider the problem of finding the minimum acceleration trajectory within a pair of stochastic walls, where the wall motion is characterized by an ergodic, stationary, zero-mean, Gaussian random process with known power spectral density.
Journal ArticleDOI
A univariate phase spectrum model for simulation of nonstationary earthquake ground motions
Yongbo Peng,Jie Li +1 more
TL;DR: In this paper, a wave-group propagation formulation for nonstationary earthquake ground motions is proposed. But the simulation method is limited to two ground motions at the type-II site, i.e., Northridge and Chi-chi waves.
Journal ArticleDOI
Safety analysis of stochastic finite element systems by monte carlo simulation
TL;DR: Probabilistic safety analysis methods for structural systems involving spatially variable material properties are studied and Monte Carlo simulation, based on the stochastic field simulation technique, is recommended because its accuracy is guaranteed irrespective of the number of random variables.
References
More filters
Journal ArticleDOI
Stationary and Related Stochastic Processes
Journal ArticleDOI
Simulation of Multivariate and Multidimensional Random Processes
TL;DR: In this article, the authors present efficient and practical methods of simulating multivariate and multidimensional processes with specified cross-spectral density matrix, which can be expressed as the sum of cosine functions with random frequencies and random phase angles.