Pendulum's rotational motion governed by a stochastic Mathieu equation

D. Yurchenko; A. Naess; P. Alevras

doi:10.1016/j.probengmech.2012.10.004

Pendulum's rotational motion governed by a stochastic Mathieu equation

D. Yurchenko^*, A. Naess, P. Alevras

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

Abstract

This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.

Original language	English
Pages (from-to)	12-18
Number of pages	7
Journal	Probabilistic Engineering Mechanics
Volume	31
Early online date	8 Nov 2012
DOIs	https://doi.org/10.1016/j.probengmech.2012.10.004
Publication status	Published - 1 Jan 2013

Keywords

Instability domain
Mathieu equation
Narrowband parametric excitation
Probability density function
Rotational motion
Wave energy converter

ASJC Scopus subject areas

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

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10.1016/j.probengmech.2012.10.004Licence: None: All rights reserved

Cite this

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title = "Pendulum's rotational motion governed by a stochastic Mathieu equation",

abstract = "This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.",

keywords = "Instability domain, Mathieu equation, Narrowband parametric excitation, Probability density function, Rotational motion, Wave energy converter",

author = "D. Yurchenko and A. Naess and P. Alevras",

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AU - Yurchenko, D.

AU - Naess, A.

AU - Alevras, P.

PY - 2013/1/1

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N2 - This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.

AB - This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.

KW - Instability domain

KW - Mathieu equation

KW - Narrowband parametric excitation

KW - Probability density function

KW - Rotational motion

KW - Wave energy converter

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DO - 10.1016/j.probengmech.2012.10.004

M3 - Article

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SN - 0266-8920

VL - 31

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EP - 18

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

ER -

Pendulum's rotational motion governed by a stochastic Mathieu equation

Abstract

Keywords

ASJC Scopus subject areas

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