At the start up of the wash cycle and then periodically thru out other cycles after there is a noise that sounds between grinding and what "air bound" lines sound like. this was minor in the early life and has gotten more prevalent as time has bone on.

i reccomend you check the drive belt if its worn, damaged, or misaligned. motor bearings that are damaged can result to result in grinding noise

If it is only doing it on the drying cycle, it must be the forced air fan that blows the heated air through the clothes.

For dryers that have sensors, the time will often go up as the sensor realizes the clothes are wetter than it first thought. Once it reaches a sound judgement, it should start to decrease. If it doesn't, you have sensor or control board issues and you need a service visit.

You can Google

make model parts schematic

and see all the parts and the costs. Control boards are very expensive.

The transmission could be at fault

Good Morning John,

I see that you are hearing a grinding noise before the spin cycle in your Frigidaire washer, model# GLET1031CS0. A certain amount of "grinding" or gear sounds are normal in a heavy-duty washer. If you notice that the grinding sound appears to be getting louder, I suggest contacting either the manufacturer or your local authorized technician for further assistance. Hope this is helpful.

-Best Regards-
WP

check for objects in the tub such as hair pin ,nail etc...

All Kenmores are the bottom of the line appliances. If under warranty, call Sears. Your machine has problems. May be on it's last legs. None of these sounds are 'normal'. Motors wearing out, likely.

When it is washing, look to see if the basket is moving at all. The basket should be stationary during the agitation cycle.

If you hear unusual noises during dishwasher operation, check to see if a dish or cup is loose and being knocked around during the wash cycle. If you hear grinding, grating, crunching or a buzzing sound, chances are a hard object has gone into the wash module. Once the object is ground up, the noises should cease.

Hello djlampl,

With the lowest spin cycle setting I enter spin cycle in Quick Wash around the 21 minute mark. But first question is do you hear the grinding noise with the tumblers rotating during the wash/agitate cycle?

If you start a spin only cycle do you hear the grinding noise?

Does the washer error code out with an error code to the display? Codes such as dC, uC, Lr?, I assume the machine type is a FAV6800AW is that correct?

Any additional info will help in troubleshooting…..Rich

Assuming the machine type is a FAV6800A/FAV9800A here are some handy links;

The Service Manual for reference. Sears Parts Direct for reference.

is it possible that the washer was overloaded? if so the agitator has little plastic "gears" that move the agitator one way only, they could have made the sound. 
you can also check under the washer to see if anything (like a coat-hanger or something) is interfering with moving parts of the washer