Pseudo-force method for a stochastic analysis of nonlinear systems

Salvatore Benfratello, Salvatore Benfratello

Risultato della ricerca: Article

6 Citazioni (Scopus)

Abstract

Nonlinear systems, driven by external white noise input processes and handled by means of pseudo-force theory, are transformed through simple coordinate transformation to quasi-linear systems. By means of Itô stochastic differential calculus for parametric processes, a finite hierarchy for the moment equations of these systems can be exactly obtained. Applications of this procedure to the first-order differential equation with cubic nonlinearity and to the Duffing oscillator show the versatility of the proposed method. The accuracy of the proposed procedure improves by making use of the classical equivalent linearization technique.
Lingua originaleEnglish
pagine (da-a)113-123
Numero di pagine11
RivistaProbabilistic Engineering Mechanics
Volume11
Stato di pubblicazionePublished - 1996

Fingerprint

Differentiation (calculus)
differential calculus
coordinate transformations
White noise
versatility
linearization
linear systems
white noise
nonlinear systems
Linearization
hierarchies
Linear systems
Nonlinear systems
Differential equations
differential equations
nonlinearity
oscillators
moments

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mechanical Engineering
  • Ocean Engineering
  • Condensed Matter Physics
  • Aerospace Engineering
  • Nuclear Energy and Engineering
  • Civil and Structural Engineering

Cita questo

Pseudo-force method for a stochastic analysis of nonlinear systems. / Benfratello, Salvatore; Benfratello, Salvatore.

In: Probabilistic Engineering Mechanics, Vol. 11, 1996, pag. 113-123.

Risultato della ricerca: Article

@article{3d29ec8a78704db59ca53acf74170bd3,
title = "Pseudo-force method for a stochastic analysis of nonlinear systems",
abstract = "Nonlinear systems, driven by external white noise input processes and handled by means of pseudo-force theory, are transformed through simple coordinate transformation to quasi-linear systems. By means of It{\~A}´ stochastic differential calculus for parametric processes, a finite hierarchy for the moment equations of these systems can be exactly obtained. Applications of this procedure to the first-order differential equation with cubic nonlinearity and to the Duffing oscillator show the versatility of the proposed method. The accuracy of the proposed procedure improves by making use of the classical equivalent linearization technique.",
keywords = "Statistical and Nonlinear Physics; Civil and Structural Engineering; Nuclear Energy and Engineering; Aerospace Engineering; Condensed Matter Physics; Ocean Engineering; Mechanical Engineering",
author = "Salvatore Benfratello and Salvatore Benfratello",
year = "1996",
language = "English",
volume = "11",
pages = "113--123",
journal = "Probabilistic Engineering Mechanics",
issn = "0266-8920",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Pseudo-force method for a stochastic analysis of nonlinear systems

AU - Benfratello, Salvatore

AU - Benfratello, Salvatore

PY - 1996

Y1 - 1996

N2 - Nonlinear systems, driven by external white noise input processes and handled by means of pseudo-force theory, are transformed through simple coordinate transformation to quasi-linear systems. By means of Itô stochastic differential calculus for parametric processes, a finite hierarchy for the moment equations of these systems can be exactly obtained. Applications of this procedure to the first-order differential equation with cubic nonlinearity and to the Duffing oscillator show the versatility of the proposed method. The accuracy of the proposed procedure improves by making use of the classical equivalent linearization technique.

AB - Nonlinear systems, driven by external white noise input processes and handled by means of pseudo-force theory, are transformed through simple coordinate transformation to quasi-linear systems. By means of Itô stochastic differential calculus for parametric processes, a finite hierarchy for the moment equations of these systems can be exactly obtained. Applications of this procedure to the first-order differential equation with cubic nonlinearity and to the Duffing oscillator show the versatility of the proposed method. The accuracy of the proposed procedure improves by making use of the classical equivalent linearization technique.

KW - Statistical and Nonlinear Physics; Civil and Structural Engineering; Nuclear Energy and Engineering; Aerospace Engineering; Condensed Matter Physics; Ocean Engineering; Mechanical Engineering

UR - http://hdl.handle.net/10447/285119

M3 - Article

VL - 11

SP - 113

EP - 123

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

SN - 0266-8920

ER -