Multi-mode excitation of a clamped-clamped microbeam resonator

Mohammad I. Younis

doi:10.1115/DETC201434916

Multi-mode excitation of a clamped-clamped microbeam resonator

Mohammad I. Younis^*

^*Corresponding author for this work

Physical Sciences and Engineering

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

1 Scopus citations

Abstract

We present modeling and simulation of the nonlinear dynamics of a MEMS resonator to two-source excitation. The resonator is composed of a clamped-clamped beam excited by a DC voltage load superimposed to two AC voltage loads of different frequencies. One frequency is chosen to be close to the first natural frequency of the beam and the other close to the third (second symmetric) natural frequency. A multi-mode Galerkin procedure is applied to extract a reduced-order model, which forms the basis of the numerical simulations. Time history response, Poincare' sections, Fast Fourier Transforms FFT, and bifurcation diagrams are used to reveal the dynamics of the system. The results indicate complex nonlinear phenomena, which include quasi-periodic motion, torus bifurcations, and modulated chaotic attractors.

Original language	English (US)
Title of host publication	10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791846391
DOIs	https://doi.org/10.1115/DETC201434916
State	Published - 2014
Event	ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014 - Buffalo, United States Duration: Aug 17 2014 → Aug 20 2014

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	6

Other

Other	ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014
Country/Territory	United States
City	Buffalo
Period	08/17/14 → 08/20/14

ASJC Scopus subject areas

Modeling and Simulation
Mechanical Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

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10.1115/DETC201434916

Cite this

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title = "Multi-mode excitation of a clamped-clamped microbeam resonator",

abstract = "We present modeling and simulation of the nonlinear dynamics of a MEMS resonator to two-source excitation. The resonator is composed of a clamped-clamped beam excited by a DC voltage load superimposed to two AC voltage loads of different frequencies. One frequency is chosen to be close to the first natural frequency of the beam and the other close to the third (second symmetric) natural frequency. A multi-mode Galerkin procedure is applied to extract a reduced-order model, which forms the basis of the numerical simulations. Time history response, Poincare' sections, Fast Fourier Transforms FFT, and bifurcation diagrams are used to reveal the dynamics of the system. The results indicate complex nonlinear phenomena, which include quasi-periodic motion, torus bifurcations, and modulated chaotic attractors.",

author = "Younis, {Mohammad I.}",

note = "Publisher Copyright: Copyright {\textcopyright} 2014 by ASME.; ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014 ; Conference date: 17-08-2014 Through 20-08-2014",

year = "2014",

doi = "10.1115/DETC201434916",

language = "English (US)",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

booktitle = "10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control",

}

Younis, MI 2014, Multi-mode excitation of a clamped-clamped microbeam resonator. in 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME Design Engineering Technical Conference, vol. 6, American Society of Mechanical Engineers (ASME), ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014, Buffalo, United States, 08/17/14. https://doi.org/10.1115/DETC201434916

Multi-mode excitation of a clamped-clamped microbeam resonator. / Younis, Mohammad I.
10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2014. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6).

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

TY - GEN

T1 - Multi-mode excitation of a clamped-clamped microbeam resonator

AU - Younis, Mohammad I.

PY - 2014

Y1 - 2014

N2 - We present modeling and simulation of the nonlinear dynamics of a MEMS resonator to two-source excitation. The resonator is composed of a clamped-clamped beam excited by a DC voltage load superimposed to two AC voltage loads of different frequencies. One frequency is chosen to be close to the first natural frequency of the beam and the other close to the third (second symmetric) natural frequency. A multi-mode Galerkin procedure is applied to extract a reduced-order model, which forms the basis of the numerical simulations. Time history response, Poincare' sections, Fast Fourier Transforms FFT, and bifurcation diagrams are used to reveal the dynamics of the system. The results indicate complex nonlinear phenomena, which include quasi-periodic motion, torus bifurcations, and modulated chaotic attractors.

AB - We present modeling and simulation of the nonlinear dynamics of a MEMS resonator to two-source excitation. The resonator is composed of a clamped-clamped beam excited by a DC voltage load superimposed to two AC voltage loads of different frequencies. One frequency is chosen to be close to the first natural frequency of the beam and the other close to the third (second symmetric) natural frequency. A multi-mode Galerkin procedure is applied to extract a reduced-order model, which forms the basis of the numerical simulations. Time history response, Poincare' sections, Fast Fourier Transforms FFT, and bifurcation diagrams are used to reveal the dynamics of the system. The results indicate complex nonlinear phenomena, which include quasi-periodic motion, torus bifurcations, and modulated chaotic attractors.

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U2 - 10.1115/DETC201434916

DO - 10.1115/DETC201434916

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T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014

Y2 - 17 August 2014 through 20 August 2014

ER -

Multi-mode excitation of a clamped-clamped microbeam resonator

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