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Journal ArticleDOI

Digital simulation of random processes and its applications

Masanobu Shinozuka, +1 more
- 08 Nov 1972 - 
- Vol. 25, Iss: 1, pp 111-128
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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.
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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.

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Citations
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Simulation of space-time variation of earthquake ground motion using a recorded time history

TL;DR: In this paper, a method is developed for generating an artificial and simulated space-time variation which is characterized by a given cross-correlation function and includes a recorded strong ground motion at a point.
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Application of Spatially Correlated and Coherent Records of Scenario Event to Estimate Seismic Loss of a Portfolio of Buildings

TL;DR: In this article, the authors extend the stochastic finite-fault model to simulate spatially correlated and coherent records for a scenario seismic event and estimate the seismic loss of spatially distribute spatially distributed records.
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Large scale random fields generation using localized Karhunen–Loève expansion

TL;DR: The generation of random fields when the domain is much larger than the characteristic correlation length is made using an adaptation of the Karhunen–Loève expansion (KLE) to guarantee the continuity of the field and a proper representation of the covariance function on the whole domain.
Posted Content

Half-tapering strategy for conditional simulation with large datasets

TL;DR: In this article, the authors proposed to use the taper covariance only in the conditioning step (half-taper or HT approach), which enables to speed up the computations and to reduce memory requirements for the condition step but also to keep the right short scale variations in the realizations.
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Reliability analysis of active tendon‐controlled wind turbines by a computationally efficient wavelet‐based probability density evolution method

TL;DR: In this article, the authors proposed a computationally efficient stochastic framework and an associated mathematical formulation to assess the improvement in the vibration response of wind turbines with active structural controllers, where uncertainties in the turbulent wind speed as well as in the structural parameters are considered in the formulation for analyzing the two important (rated and cut-out) wind speed conditions.
References
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Selected Papers on Noise and Stochastic Processes

Nelson Wax, +1 more
- 01 May 1955 - 
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.