Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier

Stefan Neumeyer; Ruud  van de Looij; Jon Juel Thomsen

Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier

Stefan Neumeyer, Ruud van de Looij, Jon Juel Thomsen

Eindhoven University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

This work experimentally investigates the impact of nonlinearity on macromechanical parametric amplification. For a strong cubic stiffness nonlinearity we observe jumps in gain (ratio of steady-state vibration amplitude of the externally and parametrically excited system, to vibration amplitude of the externally excited only system) as function of the phase between the external and parametric excitation. These jumps occur at different phase values dependent on up- and downsweeps. Furthermore, an increasing asymmetric phase-gain relationship was observed for strong nonlinearity.

Original language	English
Title of host publication	ENOC 2014 - Proceedings of 8th European Nonlinear Dynamics Conference
Editors	Horst Ecker, Alois Steindl, Stefan Jakubek
Number of pages	2
Publisher	Vienna University of Technology
Publication date	2014
ISBN (Electronic)	978-3-200-03433-4
Publication status	Published - 2014
Event	8th European Nonlinear Dynamics Conference - Vienna, Austria Duration: 6 Jul 2014 → 11 Jul 2014 Conference number: 8 http://enoc2014.conf.tuwien.ac.at/index.php/welcome

Conference

Conference	8th European Nonlinear Dynamics Conference
Number	8
Country/Territory	Austria
City	Vienna
Period	06/07/2014 → 11/07/2014
Internet address	http://enoc2014.conf.tuwien.ac.at/index.php/welcome

OpenUrl availability

Full text

Cite this

@inproceedings{35111292aff84f59a895b20130a10933,

title = "Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier",

abstract = "This work experimentally investigates the impact of nonlinearity on macromechanical parametric amplification. For a strong cubic stiffness nonlinearity we observe jumps in gain (ratio of steady-state vibration amplitude of the externally and parametrically excited system, to vibration amplitude of the externally excited only system) as function of the phase between the external and parametric excitation. These jumps occur at different phase values dependent on up- and downsweeps. Furthermore, an increasing asymmetric phase-gain relationship was observed for strong nonlinearity.",

author = "Stefan Neumeyer and {van de Looij}, Ruud and Thomsen, {Jon Juel}",

year = "2014",

language = "English",

editor = "Ecker, {Horst } and Steindl, {Alois } and Jakubek, {Stefan }",

booktitle = "ENOC 2014 - Proceedings of 8th European Nonlinear Dynamics Conference",

publisher = "Vienna University of Technology",

note = "8th European Nonlinear Dynamics Conference, ENOC ; Conference date: 06-07-2014 Through 11-07-2014",

url = "http://enoc2014.conf.tuwien.ac.at/index.php/welcome",

}

Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier. / Neumeyer, Stefan; van de Looij, Ruud ; Thomsen, Jon Juel.
ENOC 2014 - Proceedings of 8th European Nonlinear Dynamics Conference. ed. / Horst Ecker; Alois Steindl; Stefan Jakubek. Vienna University of Technology, 2014.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier

AU - Neumeyer, Stefan

AU - van de Looij, Ruud

AU - Thomsen, Jon Juel

N1 - Conference code: 8

PY - 2014

Y1 - 2014

N2 - This work experimentally investigates the impact of nonlinearity on macromechanical parametric amplification. For a strong cubic stiffness nonlinearity we observe jumps in gain (ratio of steady-state vibration amplitude of the externally and parametrically excited system, to vibration amplitude of the externally excited only system) as function of the phase between the external and parametric excitation. These jumps occur at different phase values dependent on up- and downsweeps. Furthermore, an increasing asymmetric phase-gain relationship was observed for strong nonlinearity.

AB - This work experimentally investigates the impact of nonlinearity on macromechanical parametric amplification. For a strong cubic stiffness nonlinearity we observe jumps in gain (ratio of steady-state vibration amplitude of the externally and parametrically excited system, to vibration amplitude of the externally excited only system) as function of the phase between the external and parametric excitation. These jumps occur at different phase values dependent on up- and downsweeps. Furthermore, an increasing asymmetric phase-gain relationship was observed for strong nonlinearity.

M3 - Article in proceedings

BT - ENOC 2014 - Proceedings of 8th European Nonlinear Dynamics Conference

A2 - Ecker, Horst

A2 - Steindl, Alois

A2 - Jakubek, Stefan

PB - Vienna University of Technology

T2 - 8th European Nonlinear Dynamics Conference

Y2 - 6 July 2014 through 11 July 2014

ER -

Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier

Abstract

Conference

OpenUrl availability

Fingerprint

Cite this