12/28/2017 9:34 AM | |
Joined: 9/23/2005 Last visit: 9/25/2024 Posts: 4716 Rating: (722) |
xm(t) - position of the master as a function of time (i.e. the master motion profile) xs(xm) - position of the slave as a function of position of the master (i.e. a cam) The slave acceleration - second derivative of its position over time xs''(t)=[xs(xm(t))]''=[xs'(xm(t))*xm'(t)]'=xs''(xm(t))*(xm'(t))2+xs'(xm(t)*xm''(t) However, if one wanted to calculate an instantaneous acceleration of the moving slave then it'd take few past positions to be collected and the derivative calculated numerically directly from the position values. |
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