Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation

P. Alevras, D. Yurchenko, A. Naess

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper considers stochastic dynamics of a pendulum, motion of which is described by a nonlinear Mathieu equation subjected to a stochastic parametric excitation. Investigation of the rotational motion exhibited for some parameters ranges is on the center of attention. Different ways of modeling the stochastic excitation are examined in the frame of pursuing robust rotations of the realistic pendulum. Namely, the excitation is first modeled as a pure Gaussianwhite noise, then as a narrow-band stochastic process.The effects of damping, intensity and the direction of the excitation are also taken into consideration.

Original languageEnglish
Title of host publicationSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Pages1055-1060
Number of pages6
Publication statusPublished - 1 Dec 2013
Event11th International Conference on Structural Safety and Reliability - New York, NY, United States
Duration: 16 Jun 201320 Jun 2013

Conference

Conference11th International Conference on Structural Safety and Reliability
Abbreviated titleICOSSAR 2013
CountryUnited States
CityNew York, NY
Period16/06/1320/06/13

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Safety, Risk, Reliability and Quality

Fingerprint Dive into the research topics of 'Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation'. Together they form a unique fingerprint.

  • Cite this

    Alevras, P., Yurchenko, D., & Naess, A. (2013). Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation. In Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 (pp. 1055-1060)