Hi Andrew ,
Just for interest :
A mechanical system behaves just like an electronic circuit and many of the design , calculation , test and problem solving methods of electronics can be used to analyse the behaviour of mechanical systems .
Anyway you will be used to thinking in terms of frequencies and responses from your own electronics work – try applying same principles to your surface grinder .
A few things that you may like to think about :
There is an instability shown by the ripple pattern .Observe from the pictures that this is a quasi stable , periodic and relatively low frequency event therefore need to evaluate the inputs to the system and look for potential sources of low frequency excitation :
Unlikely to be the drive system or a faulty wheel since these would generate high frequency events .
Unlikely to be bearings since badly adjusted or damaged bearings tend to generate chaotic events rather than periodic .
Rack and pinion drive might cause right sort of frequency of events in two ways :
(1) Rack simply bumping or more likely tooth clearances varying as each rack tooth engages and disengages causing periodic small changes in feed rate and in particular periodic dwells . Need not be the fundamental cogging frequency – unlikely but could be a low level harmonic also .
(2) Combination of human operator , rack and pinion and feedback from wheel load all interact to give a spongy system and periodic variations in feed rate . This feed subsystem will have a natural frequency for any specific set of conditions .Frequency will tend to be low and not vary very much .
Numerical values can be put to the ripple frequency and the simple rack effect frequency . Tests would be needed to find instability in feed system and any resulting natural frequency .
The presence or absence of damping in the feed system may be relevant .
Regards ,
Michael Wiliams