Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation

P. Alevras; D. Yurchenko; A. Naess

Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation

P. Alevras, D. Yurchenko, A. Naess

Mechanical Engineering

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

Abstract

This paper considers stochastic dynamics of a pendulum, motion of which is described by a nonlinear Mathieu equation subjected to a stochastic parametric excitation. Investigation of the rotational motion exhibited for some parameters ranges is on the center of attention. Different ways of modeling the stochastic excitation are examined in the frame of pursuing robust rotations of the realistic pendulum. Namely, the excitation is first modeled as a pure Gaussian white noise, then as a narrow-band stochastic process. The effects of damping, intensity and the direction of the excitation are also taken into consideration.

Original language	English
Title of host publication	Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Editors	George Deodatis, Bruce R. Ellingwood, Dan M. Frangopol
Publisher	CRC Press
Pages	1055-1060
Number of pages	6
Edition	1st
ISBN (Electronic)	9780429227950
ISBN (Print)	9781138000865
Publication status	Published - 10 Feb 2014
Event	11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 - New York, NY, United States Duration: 16 Jun 2013 → 20 Jun 2013

Conference

Conference	11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Country/Territory	United States
City	New York, NY
Period	16/06/13 → 20/06/13

ASJC Scopus subject areas

Civil and Structural Engineering
Safety, Risk, Reliability and Quality

Cite this

Alevras, P., Yurchenko, D., & Naess, A. (2014). Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation. In G. Deodatis, B. R. Ellingwood, & D. M. Frangopol (Eds.), Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 (1st ed., pp. 1055-1060). CRC Press.

Alevras, P. ; Yurchenko, D. ; Naess, A. / Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation. Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013. editor / George Deodatis ; Bruce R. Ellingwood ; Dan M. Frangopol. 1st. ed. CRC Press, 2014. pp. 1055-1060

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title = "Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation",

abstract = "This paper considers stochastic dynamics of a pendulum, motion of which is described by a nonlinear Mathieu equation subjected to a stochastic parametric excitation. Investigation of the rotational motion exhibited for some parameters ranges is on the center of attention. Different ways of modeling the stochastic excitation are examined in the frame of pursuing robust rotations of the realistic pendulum. Namely, the excitation is first modeled as a pure Gaussian white noise, then as a narrow-band stochastic process. The effects of damping, intensity and the direction of the excitation are also taken into consideration.",

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

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note = "11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 ; Conference date: 16-06-2013 Through 20-06-2013",

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Alevras, P, Yurchenko, D & Naess, A 2014, Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation. in G Deodatis, BR Ellingwood & DM Frangopol (eds), Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013. 1st edn, CRC Press, pp. 1055-1060, 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013, New York, NY, United States, 16/06/13.

Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation. / Alevras, P.; Yurchenko, D.; Naess, A.
Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013. ed. / George Deodatis; Bruce R. Ellingwood; Dan M. Frangopol. 1st. ed. CRC Press, 2014. p. 1055-1060.

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

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T1 - Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation

AU - Alevras, P.

AU - Yurchenko, D.

AU - Naess, A.

PY - 2014/2/10

Y1 - 2014/2/10

N2 - This paper considers stochastic dynamics of a pendulum, motion of which is described by a nonlinear Mathieu equation subjected to a stochastic parametric excitation. Investigation of the rotational motion exhibited for some parameters ranges is on the center of attention. Different ways of modeling the stochastic excitation are examined in the frame of pursuing robust rotations of the realistic pendulum. Namely, the excitation is first modeled as a pure Gaussian white noise, then as a narrow-band stochastic process. The effects of damping, intensity and the direction of the excitation are also taken into consideration.

AB - This paper considers stochastic dynamics of a pendulum, motion of which is described by a nonlinear Mathieu equation subjected to a stochastic parametric excitation. Investigation of the rotational motion exhibited for some parameters ranges is on the center of attention. Different ways of modeling the stochastic excitation are examined in the frame of pursuing robust rotations of the realistic pendulum. Namely, the excitation is first modeled as a pure Gaussian white noise, then as a narrow-band stochastic process. The effects of damping, intensity and the direction of the excitation are also taken into consideration.

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SN - 9781138000865

SP - 1055

EP - 1060

BT - Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

A2 - Deodatis, George

A2 - Ellingwood, Bruce R.

A2 - Frangopol, Dan M.

PB - CRC Press

T2 - 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

Y2 - 16 June 2013 through 20 June 2013

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Alevras P, Yurchenko D, Naess A. Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation. In Deodatis G, Ellingwood BR, Frangopol DM, editors, Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013. 1st ed. CRC Press. 2014. p. 1055-1060

Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation

Abstract

Conference

ASJC Scopus subject areas

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