Energy response probability density function of a rotating parametric pendulum

P. Alevras; D. Yurchenko; A. Naess

doi:10.1061/9780784413609.187

Energy response probability density function of a rotating parametric pendulum

P. Alevras, D. Yurchenko, A. Naess

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Vulnerability, Uncertainty, and Risk
Subtitle of host publication	Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
Editors	Michael Beer, Siu-Kui Au, Jim W. Hall
Publisher	American Society of Civil Engineers (ASCE)
Pages	1866-1874
Number of pages	9
ISBN (Print)	9780784413609
DOIs	https://doi.org/10.1061/9780784413609.187
Publication status	Published - 2014
Event	2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 - Liverpool, United Kingdom Duration: 13 Jul 2014 → 16 Jul 2014

Conference

Conference	2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
Country/Territory	United Kingdom
City	Liverpool
Period	13/07/14 → 16/07/14

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality

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10.1061/9780784413609.187Licence: None: All rights reserved

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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 - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 (pp. 1866-1874). American Society of Civil Engineers (ASCE). https://doi.org/10.1061/9780784413609.187

Alevras, P. ; Yurchenko, D. ; Naess, A. / Energy response probability density function of a rotating parametric pendulum. Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. editor / Michael Beer ; Siu-Kui Au ; Jim W. Hall. American Society of Civil Engineers (ASCE), 2014. pp. 1866-1874

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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.",

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publisher = "American Society of Civil Engineers (ASCE)",

address = "United States",

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Alevras, P, Yurchenko, D & Naess, A 2014, Energy response probability density function of a rotating parametric pendulum. in M Beer, S-K Au & JW Hall (eds), Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. American Society of Civil Engineers (ASCE), pp. 1866-1874, 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014, Liverpool, United Kingdom, 13/07/14. https://doi.org/10.1061/9780784413609.187

Energy response probability density function of a rotating parametric pendulum. / Alevras, P.; Yurchenko, D.; Naess, A.
Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. ed. / Michael Beer; Siu-Kui Au; Jim W. Hall. American Society of Civil Engineers (ASCE), 2014. p. 1866-1874.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - 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.

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Alevras P, Yurchenko D, Naess A. Energy response probability density function of a rotating parametric pendulum. In Beer M, Au SK, Hall JW, editors, Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. American Society of Civil Engineers (ASCE). 2014. p. 1866-1874 Epub 2014 Jul 7. doi: 10.1061/9780784413609.187

Energy response probability density function of a rotating parametric pendulum

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