Linearization in Analysis of Nonlinear Stochastic Systems

1991 ◽  
Vol 44 (10) ◽  
pp. 399-422 ◽  
Author(s):  
Leslaw Socha ◽  
T. T. Soong
Keyword(s):  
Stochastic Systems ◽  
State Of The Art ◽  
The State ◽  
Equivalent Linearization ◽  
Structural Systems ◽  
Wave Loads ◽  
Nonlinear Stochastic Systems ◽  
Parametrically Excited ◽  
Environmental Loads

The purpose of this paper is to provide a review and an assessment of the state-of-the-art in the area of statistical and equivalent linearization in the analysis of nonlinear stochastic systems. Included in the discussion are systems subjected to stationary and nonstationary excitations as well as parametrically excited systems. A variety of linearization criteria are discussed together with accuracy associated with these procedures. This review also includes some applications of equivalent linearization to the study of dynamics of mechanical and structural systems subjected to environmental loads such as wave loads and earthquake excitations. Limitations of current procedures of equivalent linearization are mentioned and suggestions for areas of further research are made.

scholarly journals Transpodcast universe. Narrative models and independent community”.

2020 ◽  
Vol 25 (1) ◽  
pp. 139-150
Author(s):  
David García-Marín
Keyword(s):  
State Of The Art ◽  
Evolutionary Process ◽  
Peer To Peer ◽  
The State ◽  
Structural Systems ◽  
Peer Communication ◽  
Analytical Perspective ◽  
Complex Structural ◽  
High Diversity

This article describes the evolutionary process and the state of the art of podcasting from a theoretical and analytical perspective. This work integrates the main results of several researches carried out by the author in different countries, whose main conclusions show that podcasting has acquired a transmedia narrative texture that goes beyond the monomedia model from its beginnings, giving way to a new medium, transpodcast, which presents complex structural systems characterized by a specific multiplatform grammar and a high diversity of contents. Transpodcast is supported by the development of robust affinity communities, users and fans. These communities are built as peer-to-peer communication spaces and algorithmic environments where an evident automation of the fandom takes place.

scholarly journals TIMBER STRUCTURAL TECHNIQUES FROM THE DAWN OF THE CIVILIZATION TO THE EXPANSION OF CITIES IN THE XIX CENTURY IN EUROPE AND ITS COLONIES

Revista M ◽  
2019 ◽  
Vol 15 ◽  
pp. 80-114
Author(s):  
Elena Perria
Keyword(s):  
State Of The Art ◽  
The State ◽  
Structural Timber ◽  
The Other ◽  
Structural Systems ◽  
General Description ◽  
Other Hand ◽  
Xix Century ◽  
Wooden Structures ◽  
And Diffusion

This paper is a general description of the state-of-the-art on the European and colonial building techniques found in wooden buildings that currently exist. The description of the use and diffusion of the wooden structures is made by a brief explanation of the relative structural systems, as well as the peculiarities of the elements that compose it, its operating principles, the points of weakness and the joints used. Thus, the English and German techniques of structural timber frameworks are described in detail. On the other hand, other structural techniques and their evolution are presented through a review of works and documents that describe them accurately.

Numerical Methods for Monitoring Rare Events in Nonlinear Stochastic Systems

2021 ◽  
Vol 22 (6) ◽  
pp. 291-297
Author(s):  
A. A. Kabanov ◽  
S. A. Dubovik
Keyword(s):  
Optimal Control ◽  
Numerical Methods ◽  
Large Deviations ◽  
Stochastic Systems ◽  
Rare Events ◽  
Rare Event ◽  
Stable State ◽  
The State ◽  
Nonlinear Stochastic Systems ◽  
State Dependent

In this article, we consider the development of numerical methods of large deviations analysis for rare events in nonlinear stochastic systems. The large deviations of the controlled process from a certain stable state are the basis for predicting the occurrenceof a critical situation (a rare event). The rare event forecasting problem is reduced to the Lagrange-Pontryagin optimal control problem.The presented approach for solving the Lagrange-Pontryagin problem differs from the approach used earlier for linear systems in that it uses feedback control. In the nonlinear case, approximate methods based on the representation of the system model in the state-space form with state-dependent coefficients (SDC) matrixes are used: the state-dependent Riccati equation (SDRE) and the asymptotic sequence of Riccati equations (ASRE). The considered optimal control problem allow us to obtain a numerical-analytical solutionthat is convenient for real-time implementation. Based on the developed methods of large deviations analysis, algorithms for estimating the probability of occurrence of a rare event in a dynamical systemare presented. The numerical applicability of the developed methods is shown by the example of the FitzHugh-Nagumo model for the analysis of switching between excitable modes. The simulation results revealed an additional problem related to the so-called parameterization problem of the SDC matrices. Since the use of different representations for SDC matrices gives different results in terms of the system trajectory, the choice of matrices is proposed to be carried out at each algorithm iteration so as to provide conditions for the solvability of the Lagrange-Pontryagin problem.

Practical Picture Processing

1974 ◽  
Vol 32 ◽  
pp. 338-339
Author(s):  
T. A. Welton
Keyword(s):  
Radiation Damage ◽  
Coherence Length ◽  
Spatial Information ◽  
State Of The Art ◽  
Coherent Radiation ◽  
The State ◽  
Energy Spread ◽  
Electron Micrograph ◽  
Picture Processing ◽  
Molecular Skeleton

Various authors have emphasized the spatial information resident in an electron micrograph taken with adequately coherent radiation. In view of the completion of at least one such instrument, this opportunity is taken to summarize the state of the art of processing such micrographs. We use the usual symbols for the aberration coefficients, and supplement these with £ and 6 for the transverse coherence length and the fractional energy spread respectively. He also assume a weak, biologically interesting sample, with principal interest lying in the molecular skeleton remaining after obvious hydrogen loss and other radiation damage has occurred.

Hypothesis-Evidence Coordination: The State of the Art

2003 ◽  
Vol 48 (6) ◽  
pp. 826-829 ◽  
Author(s):  
Eric Amsel
Keyword(s):  
State Of The Art ◽  
The State
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