Procedure for non-stationary PDF solution of nonlinear stochastic oscillators

CRC Press eBooks 2026 Book chapter

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Authors: G.K. Er, S. Frimpong, Vai Pan Iu
DOI: 10.1201/9781003762553-19
Cited by: 0

Abstract

In this paper the recently proposed exponential polynomial closure method is extended for obtaining the non-stationary probability density function (PDF) of nonlinear stochastic oscillators. Numerical results are presented to show the effectiveness of this method. The extension of this procedure to multi-degree-of-freedom system is straightforward for obtaining the non-stationary PDF solution.

Fields of Study & Subjects

Probabilistic and Robust Engineering Design stochastic dynamics and bifurcation Vibration and Dynamic Analysis

Publication details

Journal / source
CRC Press eBooks
Pages
181–186
Publication date
24 February 2026
Language
EN
Document type
Book chapter