How can I co-relate the response due to the rectangular rod sliding on plate (movement is made by hand) experiment with the mathematical model. The plate is simply supported. The force of excitation is also moving.
Several people (Adnan Akay, David Ewins, and their colleagues) studied this problem, but they did not consider the influence of moving load.
The following paper is about a single degree-of-freedom frictional slider moving around a clamped-free circular plate:
Ouyang H, Mottershead JE, Cartmell MP and Brookfield DJ 1999. Friction-induced vibration of an elastic slider on a vibrating disc. International Journal of Mechanical Science, 41, 325-336
I think Dieterich's law of friction can well describe behaviour like this. See :
Dieterich, J.H., 1979. Modeling of rock friction. 1. Experimental results and constitutive
equations. Journal of Geophysical Research 84 (B5), 2161.
Dieterich, J.H., 1992. Earthquake nucleation on faults with rate- and state-dependent
strength. Technophysics 211 (1– 4), 115.
Dietrich, J.H., Kilgore, B., 1996. Implications of fault constitutive properties for earthquake
prediction. Proceedings of the National Academy of Sciences of the United
States of America 93 (9), 3787.
Exponential definition of friction coefficient is the most convenient one.
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