From what you're describing I recommend checking the power supply first. This will require using a voltmeter. If you do not feel comfortable checking voltage I recommend calling for service. I am sending you testing instructions to check the power supply coming to your dryer. I am also sending you a link that covers the same symptom you have. Please click on the image & then the link for further assistance.
My electric dryer won't come turn on.
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website:
Sears Home Services
SAFETY NOTICE: Be sure to
to the appliance before performing any repairs. If you are not comfortable with doing any voltage checks that might be recommended, please contact your local service provider for repairs. Be aware that there could be sharp edges inside the appliance that could cause cuts or other injuries to yourself or others.