Linear Stage Dynamics with Friction
Project Overview
Project goal: Characterize the dynamics of a linear stage under oscillating motion.
Final project for the class ‘Modeling and Simulation of Dynamic Systems’, taught by Professor Neville Hogan in the Department of Mechanical Engineering at the Massachusetts Institute of Technology.
Pdf of final report
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The technical goals were to characterize
Weight/size limitations on the stage
Impact of the weight on the oscillation frequency of the stage
Discuss transients that result from this relationship.
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Developed electro-mechanical network representation of linear stage - motor system. Translated mechanical model of friction found in academic literature into appropriate network elements.
Translated network model to state space model for further simulation in MATLAB.
Simulated response of state space model to varying stage mass and stiffness, within the two regimes: where the stage is not moving due to stiction, and after the stage has broken away from stiction and now is only subjected to kinetic friction.
Results showed that 1) increasing the mass lowered peak velocity at the expense of longer deacceleration time. 2) decreasing stage stiffness delayed time to breakaway and increased stage peak velocity. (typo on page 11 of report says 'increasing spring constant' instead of decreasing)
Network Model of Linear Stage
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Feature 3
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