A two degrees-of-freedom (2DOFs) single mass-on-belt model is employed to study friction-induced instability due to mode-coupling. Three springs, one representing contact stiffness, the second providing lateral stiffness, and the third providing coupling between tangential and vertical directions, are employed. In the model, mass contact and separation are permitted. Therefore, nonlinearity stems from discontinuity due to dependence of friction force on relative mass-belt velocity and separation of mass-belt contact during oscillation. Eigenvalue analysis is carried out to determine the onset of instability. Within the unstable region, four possible phases that include slip, stick, separation, and overshoot are found as possible modes of oscillation. Piecewise analytical solution is found for each phase of mass motion. Then, numerical analyses are used to investigate the effect of three parameters related to belt velocity, friction coefficient, and normal load on the mass response. It is found that the mass will always experience stick-slip, separation, or both. When separation occurs, mass can overtake the belt causing additional nonlinearity due to friction force reversal. For a given coefficient of friction, the minimum normal load to prevent separation is found proportional to the belt velocity.
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April 2019
Research-Article
Friction-Induced Vibration Due to Mode-Coupling and Intermittent Contact Loss
Alborz Niknam,
Alborz Niknam
Department of Mechanical
Engineering and Energy Processes,
Southern Illinois University Carbondale,
1263 Lincoln Drive,
Carbondale, IL 62901-6899
e-mail: alborz@siu.edu
Engineering and Energy Processes,
Southern Illinois University Carbondale,
1263 Lincoln Drive,
Carbondale, IL 62901-6899
e-mail: alborz@siu.edu
Search for other works by this author on:
Kambiz Farhang
Kambiz Farhang
Mem. ASME
Department of Mechanical Engineering and
Energy Processes,
Southern Illinois University Carbondale,
Carbondale, IL 62901-6899
e-mail: farhang@siu.edu
Department of Mechanical Engineering and
Energy Processes,
Southern Illinois University Carbondale,
1263 Lincoln Drive
,Carbondale, IL 62901-6899
e-mail: farhang@siu.edu
Search for other works by this author on:
Alborz Niknam
Department of Mechanical
Engineering and Energy Processes,
Southern Illinois University Carbondale,
1263 Lincoln Drive,
Carbondale, IL 62901-6899
e-mail: alborz@siu.edu
Engineering and Energy Processes,
Southern Illinois University Carbondale,
1263 Lincoln Drive,
Carbondale, IL 62901-6899
e-mail: alborz@siu.edu
Kambiz Farhang
Mem. ASME
Department of Mechanical Engineering and
Energy Processes,
Southern Illinois University Carbondale,
Carbondale, IL 62901-6899
e-mail: farhang@siu.edu
Department of Mechanical Engineering and
Energy Processes,
Southern Illinois University Carbondale,
1263 Lincoln Drive
,Carbondale, IL 62901-6899
e-mail: farhang@siu.edu
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 15, 2018; final manuscript received October 2, 2018; published online November 14, 2018. Assoc. Editor: Maurizio Porfiri.
J. Vib. Acoust. Apr 2019, 141(2): 021012 (10 pages)
Published Online: November 14, 2018
Article history
Received:
March 15, 2018
Revised:
October 2, 2018
Citation
Niknam, A., and Farhang, K. (November 14, 2018). "Friction-Induced Vibration Due to Mode-Coupling and Intermittent Contact Loss." ASME. J. Vib. Acoust. April 2019; 141(2): 021012. https://doi.org/10.1115/1.4041671
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