Pseudo-force method for a stochastic analysis of nonlinear systems

Salvatore Benfratello, Salvatore Benfratello

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)113-123
Number of pages11
JournalProbabilistic Engineering Mechanics
Publication statusPublished - 1996

All Science Journal Classification (ASJC) codes

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

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