Hi,Welcome to Just Answer, My name isXXXXX will be helping you with your appliance issue today.
the noise you hear is the evaporator fan whining up and down. this is caused by a bad main control board. you need to replace the board, G.E. has redesigned these boards 4 times, its a common problem, the part # XXXXX XXXXX you can search for the best price on line or you can order this @ http://www.repairclinic.com/PartDetail/Control-Module/1531075 its located on the back of the refrigerator behind an 8X10" cover. thanks Bryan