use a good lightweight stabilizer (fusible) on the back side of your silks- make sure you have a good new sharp blade in your cutter; a new 'fine' sharp needle in the smallest size you can use with your thread choice (I use silk thread so I use a pretty small needle)
prepare to change blades/needles when they are no longer working well- do not try to use a dull blade or dull needle
working with silks is wonderful- and create fabulous items (quilts/clothing) but you have to take care- don't try to rush/take short cuts. silk ravels easily if not stabilized.