Energy Response Probability Density Function of a Rotating Parametric Pendulum

Panagiotis Alevras, Daniil Yurchenko, Arvid Naess

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

Abstract

The rich dynamic response of a parametric pendulum to a harmonic excitation acting on its pivot point has been shown to include, among others, rotational trajectories. On this foundation, the potential of developing a wave energy converter (WEC) has been suggested exploiting the bobbing motion of waves as the necessary excitation for the pendulum to establish rotary motion. Quite often in the study of dynamical systems, the random nature of environmental inputs cannot be ignored, rendering deterministic analyses inadequate. Thereafter, stochastic analysis of these systems has to be employed. Considering a pendulum structure floating on ocean waves, the need for a stochastic frame is raised due to the strong randomness dictating the motion of waves. In this paper, the probability density function of the energy transferred to the pendulum is calculated using a path integration (PI) algorithm. Subsequently, this information is utilized to evaluate the probability of the pendulum to lay in a rotational regime.

Original languageEnglish
Title of host publicationVulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management
EditorsMichael Beer, Siu-Kui Au, Jim W. Hall
PublisherAmerican Society of Civil Engineers
Pages1866-1874
Number of pages9
ISBN (Print)9780784413609
DOIs
Publication statusPublished - 2014
Event2nd International Conference on Vulnerability and Risk Analysis and Management, and the 6th International Symposium on Uncertainty Modeling and Analysis - Liverpool, United Kingdom
Duration: 13 Jul 201416 Jul 2014

Conference

Conference2nd International Conference on Vulnerability and Risk Analysis and Management, and the 6th International Symposium on Uncertainty Modeling and Analysis
Abbreviated titleICVRAM 2014_ISUMA 2014
CountryUnited Kingdom
CityLiverpool
Period13/07/1416/07/14

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality

Fingerprint Dive into the research topics of 'Energy Response Probability Density Function of a Rotating Parametric Pendulum'. Together they form a unique fingerprint.

  • Cite this

    Alevras, P., Yurchenko, D., & Naess, A. (2014). Energy Response Probability Density Function of a Rotating Parametric Pendulum. In M. Beer, S-K. Au, & J. W. Hall (Eds.), Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management (pp. 1866-1874). American Society of Civil Engineers. https://doi.org/10.1061/9780784413609.187