In this study an efficient reduced-order model for a MEMS device is developed and investigations of the nonlinear static and the dynamic behavior are performed. The device is constituted of an imperfect microbeam under an axial load and an electric excitation. The imperfections, typically due to microfabrication processes, are simulated assuming a shallow arched initial shape. The axial load is deliberately added with an elevated value. The structure has a bistable static configuration of double potential well with possibility of escape. We derive a single-mode reduced-order model via the Ritz technique and the Padé approximation. This model, while simple, is able to combine both a sufficient accuracy, which enables to detect the main qualitative features of the device response up to elevated values of electrodynamic excitation, and a remarkable computational efficiency, which is essential for systematic global nonlinear dynamic simulations. We illustrate the nonlinear phenomena arising in the device, such as the coexistence of various competing in-well and cross-well attractors, which leads to a considerable versatility of behavior. We discuss their physical meaning and their practical relevance for the engineering design of the microstructure, since this is an uncommon and very attractive aspect in applications.
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January 2013
Research-Article
An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation
Laura Ruzziconi,
Laura Ruzziconi
1
Department of Civil and Building Engineering, and Architecture,
e-mail: l.ruzziconi@univpm.it
Polytechnic University of Marche
,via Brecce Bianche, 60131 Ancona
, Italye-mail: l.ruzziconi@univpm.it
1Corresponding author.
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Mohammad I. Younis,
Mohammad I. Younis
Department of Mechanical Engineering,
e-mail: myounis@binghamton.edu
State University of New York at Binghamton
,Binghamton, NY 13902
e-mail: myounis@binghamton.edu
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Stefano Lenci
Stefano Lenci
Department of Civil and Building Engineering, and Architecture,
e-mail: lenci@univpm.it
Polytechnic University of Marche
,via Brecce Bianche, 60131 Ancona
, Italye-mail: lenci@univpm.it
Search for other works by this author on:
Laura Ruzziconi
Department of Civil and Building Engineering, and Architecture,
e-mail: l.ruzziconi@univpm.it
Polytechnic University of Marche
,via Brecce Bianche, 60131 Ancona
, Italye-mail: l.ruzziconi@univpm.it
Mohammad I. Younis
Department of Mechanical Engineering,
e-mail: myounis@binghamton.edu
State University of New York at Binghamton
,Binghamton, NY 13902
e-mail: myounis@binghamton.edu
Stefano Lenci
Department of Civil and Building Engineering, and Architecture,
e-mail: lenci@univpm.it
Polytechnic University of Marche
,via Brecce Bianche, 60131 Ancona
, Italye-mail: lenci@univpm.it
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 15, 2011; final manuscript received May 11, 2012; published online July 23, 2012. Assoc. Editor: Carmen M. Lilley.
J. Comput. Nonlinear Dynam. Jan 2013, 8(1): 011014 (9 pages)
Published Online: July 23, 2012
Article history
Received:
November 15, 2011
Revision Received:
May 11, 2012
Citation
Ruzziconi, L., Younis, M. I., and Lenci, S. (July 23, 2012). "An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation." ASME. J. Comput. Nonlinear Dynam. January 2013; 8(1): 011014. https://doi.org/10.1115/1.4006838
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