Pendulum's rotational motion governed by a stochastic Mathieu equation

Daniil Yurchenko; Arvid Naess; Panagiotis Alevras

doi:10.1016/j.probengmech.2012.10.004

Pendulum's rotational motion governed by a stochastic Mathieu equation

Daniil Yurchenko, Arvid Naess, Panagiotis Alevras

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

46 Citations (Scopus)

Abstract

This paper considers rotational motion governed by 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
DOIs	https://doi.org/10.1016/j.probengmech.2012.10.004
Publication status	Published - Jan 2013

Keywords

Mathieu equation
narrowband parametric excitation
probability density function
instability domain
rotational motion
Wave energy converter

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10.1016/j.probengmech.2012.10.004

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

abstract = "This paper considers rotational motion governed by 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 = "Mathieu equation, narrowband parametric excitation, probability density function, instability domain, rotational motion, Wave energy converter",

author = "Daniil Yurchenko and Arvid Naess and Panagiotis Alevras",

year = "2013",

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doi = "10.1016/j.probengmech.2012.10.004",

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AU - Yurchenko, Daniil

AU - Naess, Arvid

AU - Alevras, Panagiotis

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AB - This paper considers rotational motion governed by 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 - Mathieu equation

KW - narrowband parametric excitation

KW - probability density function

KW - instability domain

KW - rotational motion

KW - Wave energy converter

U2 - 10.1016/j.probengmech.2012.10.004

DO - 10.1016/j.probengmech.2012.10.004

M3 - Article

SN - 0266-8920

VL - 31

SP - 12

EP - 18

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

ER -

Pendulum's rotational motion governed by a stochastic Mathieu equation

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Keywords

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