Stochastic rotational response of a parametric pendulum coupled with an SDOF system

Panagiotis Alevras; Daniil Yurchenko

doi:10.1016/j.probengmech.2013.10.008

Stochastic rotational response of a parametric pendulum coupled with an SDOF system

Panagiotis Alevras^*, Daniil Yurchenko

^*Corresponding author for this work

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

22 Citations (Scopus)

Abstract

In this paper, parametric excitation of a lumped mass pendulum is investigated when having its pivot point vertically excited. Such a system is described by a sinus type nonlinear Mathieu equation and attention is drawn to the rotational motion of the mass. A single-degree-of-freedom (SDOF) system is used as a base for the pendulum, floating on ocean waves and being externally excited by them thus falling into the subclass of autoparametric systems. Due to the random nature of waves, a narrow-band stochastic process is used to model the environmental excitation. The effect of dry friction is considered and the interaction between the pendulum's rotational response and the base is studied.

Original language	English
Pages (from-to)	124-131
Number of pages	8
Journal	Probabilistic Engineering Mechanics
Volume	37
DOIs	https://doi.org/10.1016/j.probengmech.2013.10.008
Publication status	Published - Jul 2014

Keywords

Autoparametric system
Dry friction
Mathieu equation
Parametric pendulum
Random excitation
Rotational motion

ASJC Scopus subject areas

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

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10.1016/j.probengmech.2013.10.008

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title = "Stochastic rotational response of a parametric pendulum coupled with an SDOF system",

abstract = "In this paper, parametric excitation of a lumped mass pendulum is investigated when having its pivot point vertically excited. Such a system is described by a sinus type nonlinear Mathieu equation and attention is drawn to the rotational motion of the mass. A single-degree-of-freedom (SDOF) system is used as a base for the pendulum, floating on ocean waves and being externally excited by them thus falling into the subclass of autoparametric systems. Due to the random nature of waves, a narrow-band stochastic process is used to model the environmental excitation. The effect of dry friction is considered and the interaction between the pendulum's rotational response and the base is studied.",

keywords = "Autoparametric system, Dry friction, Mathieu equation, Parametric pendulum, Random excitation, Rotational motion",

author = "Panagiotis Alevras and Daniil Yurchenko",

year = "2014",

month = jul,

doi = "10.1016/j.probengmech.2013.10.008",

language = "English",

volume = "37",

pages = "124--131",

journal = "Probabilistic Engineering Mechanics",

issn = "0266-8920",

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TY - JOUR

T1 - Stochastic rotational response of a parametric pendulum coupled with an SDOF system

AU - Alevras, Panagiotis

AU - Yurchenko, Daniil

PY - 2014/7

Y1 - 2014/7

N2 - In this paper, parametric excitation of a lumped mass pendulum is investigated when having its pivot point vertically excited. Such a system is described by a sinus type nonlinear Mathieu equation and attention is drawn to the rotational motion of the mass. A single-degree-of-freedom (SDOF) system is used as a base for the pendulum, floating on ocean waves and being externally excited by them thus falling into the subclass of autoparametric systems. Due to the random nature of waves, a narrow-band stochastic process is used to model the environmental excitation. The effect of dry friction is considered and the interaction between the pendulum's rotational response and the base is studied.

AB - In this paper, parametric excitation of a lumped mass pendulum is investigated when having its pivot point vertically excited. Such a system is described by a sinus type nonlinear Mathieu equation and attention is drawn to the rotational motion of the mass. A single-degree-of-freedom (SDOF) system is used as a base for the pendulum, floating on ocean waves and being externally excited by them thus falling into the subclass of autoparametric systems. Due to the random nature of waves, a narrow-band stochastic process is used to model the environmental excitation. The effect of dry friction is considered and the interaction between the pendulum's rotational response and the base is studied.

KW - Autoparametric system

KW - Dry friction

KW - Mathieu equation

KW - Parametric pendulum

KW - Random excitation

KW - Rotational motion

UR - https://www.scopus.com/pages/publications/84930755790

U2 - 10.1016/j.probengmech.2013.10.008

DO - 10.1016/j.probengmech.2013.10.008

M3 - Article

SN - 0266-8920

VL - 37

SP - 124

EP - 131

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

ER -

Stochastic rotational response of a parametric pendulum coupled with an SDOF system

Abstract

Keywords

ASJC Scopus subject areas

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