Hi
It is possible that the breaker or a connection in the circuit is bad.
When this happens the circuit could look fine when tested with out a load then has problem when a load is placed on the circuit.
If you have a volt meter we can check this out.
Paul
In the back of the dryer where the cord enters, there is an access cover. Inside of that cover there will be a junction block with three connectors. The two outside terminals are 220v the middle is the neutral. Your voltage readings should be 220v between the two outside and 110v between either outside to the neutral. Do this with the dryer off then check it with the dryer on. If you notice one side dropping in power you either have a bad breaker or a loose connection.
Let me know how you make out.
Electrician
Over 23yrs experience/ municipal inspector