Nonlinear phenomena in a stochastically excited dynamic system

N. Wouw, van de; A. Kraker, de; D.H. Campen, van

Nonlinear phenomena in a stochastically excited dynamic system

N. Wouw, van de, A. Kraker, de, D.H. Campen, van

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

The response of strongly nonlinear dynamic systems to stochastic excitation exhibits many interesting characteristics. In this paper, excitation forms like white noise and Gaussian band limited noise are applied to a bilinear system. The nonlinear characteristics cannot be represented sufficiently accurate using statistical linearization techniques. Integration techniques have to be used. The emphasis lies on frequency domain phenomena. Phenomena like multiple resonance frequencies and multiple solutions are investigated along with their origin. The stochastic response characteristics are clarified by comparing them to periodic response features of the system. Furthermore, stochastic response phenomena can provide information on the periodic response characteristics of the system.

Original language	English
Title of host publication	Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997)
Editors	W.C. Xie, W.W. Clark
Place of Publication	New York
Publisher	American Society of Engineers
Pages	151-158
ISBN (Print)	0-7918-1829-2
Publication status	Published - 1997

Publication series

Name	Applied Mechanics. AMD
Volume	223

Cite this

Wouw, van de, N., Kraker, de, A., & Campen, van, D. H. (1997). Nonlinear phenomena in a stochastically excited dynamic system. In W. C. Xie, & W. W. Clark (Eds.), Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997) (pp. 151-158). (Applied Mechanics. AMD; Vol. 223). American Society of Engineers.

Wouw, van de, N. ; Kraker, de, A. ; Campen, van, D.H. / Nonlinear phenomena in a stochastically excited dynamic system. Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997). editor / W.C. Xie ; W.W. Clark. New York : American Society of Engineers, 1997. pp. 151-158 (Applied Mechanics. AMD).

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title = "Nonlinear phenomena in a stochastically excited dynamic system",

abstract = "The response of strongly nonlinear dynamic systems to stochastic excitation exhibits many interesting characteristics. In this paper, excitation forms like white noise and Gaussian band limited noise are applied to a bilinear system. The nonlinear characteristics cannot be represented sufficiently accurate using statistical linearization techniques. Integration techniques have to be used. The emphasis lies on frequency domain phenomena. Phenomena like multiple resonance frequencies and multiple solutions are investigated along with their origin. The stochastic response characteristics are clarified by comparing them to periodic response features of the system. Furthermore, stochastic response phenomena can provide information on the periodic response characteristics of the system.",

author = "{Wouw, van de}, N. and {Kraker, de}, A. and {Campen, van}, D.H.",

year = "1997",

language = "English",

isbn = "0-7918-1829-2",

series = "Applied Mechanics. AMD",

publisher = "American Society of Engineers",

pages = "151--158",

editor = "W.C. Xie and W.W. Clark",

booktitle = "Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997)",

}

Wouw, van de, N, Kraker, de, A & Campen, van, DH 1997, Nonlinear phenomena in a stochastically excited dynamic system. in WC Xie & WW Clark (eds), Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997). Applied Mechanics. AMD, vol. 223, American Society of Engineers, New York, pp. 151-158.

Nonlinear phenomena in a stochastically excited dynamic system. / Wouw, van de, N.; Kraker, de, A.; Campen, van, D.H.
Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997). ed. / W.C. Xie; W.W. Clark. New York: American Society of Engineers, 1997. p. 151-158 (Applied Mechanics. AMD; Vol. 223).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Nonlinear phenomena in a stochastically excited dynamic system

AU - Wouw, van de, N.

AU - Kraker, de, A.

AU - Campen, van, D.H.

PY - 1997

Y1 - 1997

N2 - The response of strongly nonlinear dynamic systems to stochastic excitation exhibits many interesting characteristics. In this paper, excitation forms like white noise and Gaussian band limited noise are applied to a bilinear system. The nonlinear characteristics cannot be represented sufficiently accurate using statistical linearization techniques. Integration techniques have to be used. The emphasis lies on frequency domain phenomena. Phenomena like multiple resonance frequencies and multiple solutions are investigated along with their origin. The stochastic response characteristics are clarified by comparing them to periodic response features of the system. Furthermore, stochastic response phenomena can provide information on the periodic response characteristics of the system.

AB - The response of strongly nonlinear dynamic systems to stochastic excitation exhibits many interesting characteristics. In this paper, excitation forms like white noise and Gaussian band limited noise are applied to a bilinear system. The nonlinear characteristics cannot be represented sufficiently accurate using statistical linearization techniques. Integration techniques have to be used. The emphasis lies on frequency domain phenomena. Phenomena like multiple resonance frequencies and multiple solutions are investigated along with their origin. The stochastic response characteristics are clarified by comparing them to periodic response features of the system. Furthermore, stochastic response phenomena can provide information on the periodic response characteristics of the system.

M3 - Conference contribution

SN - 0-7918-1829-2

T3 - Applied Mechanics. AMD

SP - 151

EP - 158

BT - Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997)

A2 - Xie, W.C.

A2 - Clark, W.W.

PB - American Society of Engineers

CY - New York

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Wouw, van de N, Kraker, de A, Campen, van DH. Nonlinear phenomena in a stochastically excited dynamic system. In Xie WC, Clark WW, editors, Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition: Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Dallas, TX (1997). New York: American Society of Engineers. 1997. p. 151-158. (Applied Mechanics. AMD).

Nonlinear phenomena in a stochastically excited dynamic system

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