To analyze the excitation mechanism of self-excited oscillation in a beam that is in contact with a moving floor surface such as a cleaning blade, which is a beam mounted in a laser printer to clean the photoreceptor, we study a beam subjected to Coulomb friction and theoretically predict the occurrence of self-excited oscillation through mode-coupling instability. We present an extensible beam model, and derive its governing nonlinear equations by means of special Cosserat theory, which allows for the extensibility of the beam to be considered. The boundary conditions on the end of the beam are unique because the end of the beam makes contact with the moving floor surface. We used a discretized linearized governing equation and performed linear stability analysis. The results indicate that self-excited oscillation in the beam is produced due to both Coulomb friction and mode coupling of the bending and extension of the beam based on the extensibility in the axial direction.
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December 2013
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Mode Coupling-Type Instability of a Beam Subjected to Coulomb Friction Available to Purchase
Yasuhiro Seo,
Yasuhiro Seo
Graduate Student
Keio University,
e-mail: [email protected]
School of Integrated Design Engineering
,Keio University,
Yokohama, Kanagawa 223-8522
, Japan
e-mail: [email protected]
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Hiroshi Yabuno,
Hiroshi Yabuno
Professor
Mem. ASME
Faculty of Science and Technology,
Keio University,
Yokohama,
e-mail: [email protected]
Mem. ASME
Department of Mechanical Engineering
,Faculty of Science and Technology,
Keio University,
Yokohama,
Kanagawa 223-8522
, Japan
e-mail: [email protected]
Search for other works by this author on:
Go Kono
Go Kono
Graduate Student
Keio University,
e-mail: [email protected]
School of Integrated Design Engineering
,Keio University,
Yokohama, Kanagawa 223-8522
, Japan
e-mail: [email protected]
Search for other works by this author on:
Yasuhiro Seo
Graduate Student
Keio University,
e-mail: [email protected]
School of Integrated Design Engineering
,Keio University,
Yokohama, Kanagawa 223-8522
, Japan
e-mail: [email protected]
Hiroshi Yabuno
Professor
Mem. ASME
Faculty of Science and Technology,
Keio University,
Yokohama,
e-mail: [email protected]
Mem. ASME
Department of Mechanical Engineering
,Faculty of Science and Technology,
Keio University,
Yokohama,
Kanagawa 223-8522
, Japan
e-mail: [email protected]
Go Kono
Graduate Student
Keio University,
e-mail: [email protected]
School of Integrated Design Engineering
,Keio University,
Yokohama, Kanagawa 223-8522
, Japan
e-mail: [email protected]
Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received October 29, 2012; final manuscript received April 12, 2013; published online June 19, 2013. Assoc. Editor: Philip Bayly.
J. Vib. Acoust. Dec 2013, 135(6): 064502 (7 pages)
Published Online: June 19, 2013
Article history
Received:
October 29, 2012
Revision Received:
April 12, 2013
Citation
Seo, Y., Yabuno, H., and Kono, G. (June 19, 2013). "Mode Coupling-Type Instability of a Beam Subjected to Coulomb Friction." ASME. J. Vib. Acoust. December 2013; 135(6): 064502. https://doi.org/10.1115/1.4024219
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