| D. Boal, Mechanics of the Cell, Cambridge University Press, Cambridge, U.K., 2002. |
....points along the speed torque curve for rotor speeds of v h#min v rotor v h#max . That is, in this section we will be calculating the speed torque curves valid for the regions drawn by dotted lines in Figure 6 16 and Figure 6 20. While there are innumerable models of contact mechanics, and [Johnson 85] gives comprehensivecoverage in this area, one simple model of contact applicable to the problem here, is that of Hertzian contact of a cylinder contacting an elastic half space as shown in Figure 6 23, where we model the deformed stator as a cylinder of equivalent radius of curvature. The rotor ....
....of the limits of integration of our friction law, this contact area width, a, is related to x o by: After calculating the width of the contact area, the pressure distribution remains to be found. The pressure distribution at the interface can also be modeled to various levels of sophistication [Johnson 85] Here we assume p (x) is proportional to the transverse displacement of the stator, x# t) w o cos (kx t) where, again, the figure of the stator has now been drawn for t = 0. Consequently wetake: p (x) A [cos (kx) C] where A is a function of FN (and therefore x o ) with units of 2 ....
"Contact Mechanics," K.L. Johnson, Cambridge University Press, Great Britain.
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D. Boal, Mechanics of the Cell, Cambridge University Press, Cambridge, U.K., 2002.
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